Primitive quantum gates for an S U ( 2 ) discrete subgroup: Binary octahedral

Gustafson, Erik J.; Lamm, Henry; Lovelace, Felicity

doi:10.1103/PhysRevD.109.054503

Primitive quantum gates for an $S U (2)$ discrete subgroup: Binary octahedral

Journal Article · Wed Mar 13 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.109.054503· OSTI ID:2323580

; Lamm, Henry; Lovelace, Felicity

We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral ( $BO$ ) group. This non-Abelian discrete group better approximates $S U (2)$ lattice gauge theory than previous work on the binary tetrahedral group at the cost of one additional qubit—for a total of six—per gauge link. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the $BO$ Fourier transform.

Published by the American Physical Society 2024

View Journal Article

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2323580

Alternate ID(s):: OSTI ID: 2333019

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (157)

Quantum simulation of quantum field theories as quantum chemistry Liu, Junyu; Xin, Yuan Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)011	journal	December 2020
Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States Brandão, Fernando G. S. L.; Kastoryano, Michael J. Communications in Mathematical Physics, Vol. 365, Issue 1 https://doi.org/10.1007/s00220-018-3150-8	journal	May 2018
Symmetries in Quantum Field Theory and Quantum Gravity Harlow, Daniel; Ooguri, Hirosi Communications in Mathematical Physics, Vol. 383, Issue 3 https://doi.org/10.1007/s00220-021-04040-y	journal	April 2021
Measuring qubit stability in a gate-based NISQ hardware processor Yeter-Aydeniz, Kübra; Parks, Zachary; Thekkiniyedath, Aadithya Nair Quantum Information Processing, Vol. 22, Issue 2 https://doi.org/10.1007/s11128-023-03826-4	journal	January 2023
Monte Carlo integration for lattice gauge theories with fermions Weingarten, D. H.; Petcher, D. N. Physics Letters B, Vol. 99, Issue 4 https://doi.org/10.1016/0370-2693(81)90112-X	journal	February 1981
Monte Carlo evaluation of hadron masses in lattice gauge theories with fermions Weingarten, Don Physics Letters B, Vol. 109, Issue 1-2 https://doi.org/10.1016/0370-2693(82)90463-4	journal	February 1982
SU(3) lattice gauge theory in 4 dimensions with a modified Wilson action Bhanot, Gyan Physics Letters B, Vol. 108, Issue 4-5 https://doi.org/10.1016/0370-2693(82)91207-2	journal	January 1982
Generalized actions in Zp lattice gauge theory Creutz, Michael; Okawa, Masanori Nuclear Physics B, Vol. 220, Issue 2 https://doi.org/10.1016/0550-3213(83)90220-1	journal	June 1983
Asymptotically free models and discrete non-Abelian groups Caracciolo, Sergio; Montanari, Andrea; Pelissetto, Andrea Physics Letters B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00674-8	journal	July 2001
Asymptotically free theories based on discrete subgroups Hasenfratz, Peter; Niedermayer, Ferenc Nuclear Physics B - Proceedings Supplements, Vol. 94, Issue 1-3 https://doi.org/10.1016/S0920-5632(01)00870-2	journal	March 2001
Towards quantum simulating QCD Wiese, Uwe-Jens Nuclear Physics A, Vol. 931 https://doi.org/10.1016/j.nuclphysa.2014.09.102	journal	November 2014
Boltzmann distributions on a quantum computer via active cooling Ball, Carter; Cohen, Thomas D. Nuclear Physics A, Vol. 1038 https://doi.org/10.1016/j.nuclphysa.2023.122708	journal	October 2023
Quantum Computation and Quantum Information Nielsen, Michael A.; Chuang, Isaac L. Cambridge University Press https://doi.org/10.1017/CBO9780511976667	book	January 2011
Quantum Metropolis sampling Temme, K.; Osborne, T. J.; Vollbrecht, K. G. Nature, Vol. 471, Issue 7336 https://doi.org/10.1038/nature09770	journal	March 2011
A variational eigenvalue solver on a photonic quantum processor Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5213	journal	July 2014
IBM Q Experience as a versatile experimental testbed for simulating open quantum systems García-Pérez, Guillermo; Rossi, Matteo A. C.; Maniscalco, Sabrina npj Quantum Information, Vol. 6, Issue 1 https://doi.org/10.1038/s41534-019-0235-y	journal	January 2020
Quantum error correction with gauge symmetries Rajput, Abhishek; Roggero, Alessandro; Wiebe, Nathan npj Quantum Information, Vol. 9, Issue 1 https://doi.org/10.1038/s41534-023-00706-8	journal	April 2023
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution Motta, Mario; Sun, Chong; Tan, Adrian T. K. Nature Physics, Vol. 16, Issue 2 https://doi.org/10.1038/s41567-019-0704-4	journal	November 2019
Self-verifying variational quantum simulation of lattice models Kokail, C.; Maier, C.; van Bijnen, R. Nature, Vol. 569, Issue 7756 https://doi.org/10.1038/s41586-019-1177-4	journal	May 2019
Quantum computations: algorithms and error correction Kitaev, A. Yu Russian Mathematical Surveys, Vol. 52, Issue 6 https://doi.org/10.1070/RM1997v052n06ABEH002155	journal	December 1997
Prescription for experimental determination of the dynamics of a quantum black box Chuang, Isaac L.; Nielsen, M. A. Journal of Modern Optics, Vol. 44, Issue 11-12 https://doi.org/10.1080/09500349708231894	journal	November 1997
Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni Reports on Progress in Physics, Vol. 79, Issue 1 https://doi.org/10.1088/0034-4885/79/1/014401	journal	December 2015
Standard model physics and the digital quantum revolution: thoughts about the interface Klco, Natalie; Roggero, Alessandro; Savage, Martin J. Reports on Progress in Physics, Vol. 85, Issue 6 https://doi.org/10.1088/1361-6633/ac58a4	journal	May 2022
Digital quantum simulation of lattice gauge theories in three spatial dimensions Bender, Julian; Zohar, Erez; Farace, Alessandro New Journal of Physics, Vol. 20, Issue 9 https://doi.org/10.1088/1367-2630/aadb71	journal	September 2018
Gauge protection in non-abelian lattice gauge theories Halimeh, Jad C.; Lang, Haifeng; Hauke, Philipp New Journal of Physics, Vol. 24, Issue 3 https://doi.org/10.1088/1367-2630/ac5564	journal	March 2022
Finite flavour groups of fermions Grimus, Walter; Ludl, Patrick Otto Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 23 https://doi.org/10.1088/1751-8113/45/23/233001	journal	May 2012
Indexed improvements for real-time trotter evolution of a (1 + 1) field theory using NISQ quantum computers Gustafson, Erik; Dreher, Patrick; Hang, Zheyue Quantum Science and Technology, Vol. 6, Issue 4 https://doi.org/10.1088/2058-9565/ac1dff	journal	September 2021
Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits Yamamoto, Arata Progress of Theoretical and Experimental Physics, Vol. 2021, Issue 1 https://doi.org/10.1093/ptep/ptaa171	journal	December 2020
Multiple-particle interference and quantum error correction Steane, Andrew Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 452, Issue 1954, p. 2551-2577 https://doi.org/10.1098/rspa.1996.0136	journal	November 1996
Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods Zohar, Erez Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, Issue 2216 https://doi.org/10.1098/rsta.2021.0069	journal	December 2021
Faster Digital Quantum Simulation by Symmetry Protection Tran, Minh C.; Su, Yuan; Carney, Daniel PRX Quantum, Vol. 2, Issue 1 https://doi.org/10.1103/PRXQuantum.2.010323	journal	February 2021
Adaptive Variational Quantum Dynamics Simulations Yao, Yong-Xin; Gomes, Niladri; Zhang, Feng PRX Quantum, Vol. 2, Issue 3 https://doi.org/10.1103/PRXQuantum.2.030307	journal	July 2021
Gauge-Symmetry Protection Using Single-Body Terms Halimeh, Jad C.; Lang, Haifeng; Mildenberger, Julius PRX Quantum, Vol. 2, Issue 4 https://doi.org/10.1103/PRXQuantum.2.040311	journal	October 2021
Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions Nguyen, Nhung H.; Tran, Minh C.; Zhu, Yingyue PRX Quantum, Vol. 3, Issue 2 https://doi.org/10.1103/PRXQuantum.3.020324	journal	May 2022
Quantum Simulation for High-Energy Physics Bauer, Christian W.; Davoudi, Zohreh; Balantekin, A. Baha PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.027001	journal	May 2023
Short-depth circuits for efficient expectation-value estimation Roggero, A.; Baroni, A. Physical Review A, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevA.101.022328	journal	February 2020
Minimally entangled state preparation of localized wave functions on quantum computers Klco, Natalie; Savage, Martin J. Physical Review A, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevA.102.012612	journal	July 2020
Framework for simulating gauge theories with dipolar spin systems Luo, Di; Shen, Jiayu; Highman, Michael Physical Review A, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevA.102.032617	journal	September 2020
Single-particle digitization strategy for quantum computation of a ϕ 4 scalar field theory Barata, João; Mueller, Niklas; Tarasov, Andrey Physical Review A, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevA.103.042410	journal	April 2021
Simulating hadronic physics on noisy intermediate-scale quantum devices using basis light-front quantization Kreshchuk, Michael; Jia, Shaoyang; Kirby, William M. Physical Review A, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevA.103.062601	journal	June 2021
Hierarchical qubit maps and hierarchically implemented quantum error correction Klco, Natalie; Savage, Martin J. Physical Review A, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevA.104.062425	journal	December 2021
Quantum simulation of quantum field theory in the light-front formulation Kreshchuk, Michael; Kirby, William M.; Goldstein, Gary Physical Review A, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevA.105.032418	journal	March 2022
Elementary gates for quantum computation Barenco, Adriano; Bennett, Charles H.; Cleve, Richard Physical Review A, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevA.52.3457	journal	November 1995
Good quantum error-correcting codes exist Calderbank, A. R.; Shor, Peter W. Physical Review A, Vol. 54, Issue 2 https://doi.org/10.1103/PhysRevA.54.1098	journal	August 1996
Simple quantum error-correcting codes Steane, A. M. Physical Review A, Vol. 54, Issue 6 https://doi.org/10.1103/PhysRevA.54.4741	journal	December 1996
Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni Physical Review A, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevA.88.023617	journal	August 2013
Quantum simulation of the Schwinger model: A study of feasibility Kühn, Stefan; Cirac, J. Ignacio; Bañuls, Mari-Carmen Physical Review A, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevA.90.042305	journal	October 2014
Digital lattice gauge theories Zohar, Erez; Farace, Alessandro; Reznik, Benni Physical Review A, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevA.95.023604	journal	February 2017
Faster quantum algorithm to simulate fermionic quantum field theory Hamed Moosavian, Ali; Jordan, Stephen Physical Review A, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevA.98.012332	journal	July 2018
Digitizing gauge fields: Lattice Monte Carlo results for future quantum computers Hackett, Daniel C.; Howe, Kiel; Hughes, Ciaran Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevA.99.062341	journal	June 2019
Reconstructing thermal quantum quench dynamics from pure states Saroni, Jason; Lamm, Henry; Orth, Peter P. Physical Review B, Vol. 108, Issue 13 https://doi.org/10.1103/PhysRevB.108.134301	journal	October 2023
Dynamic linear response quantum algorithm Roggero, Alessandro; Carlson, Joseph Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevC.100.034610	journal	September 2019
General methods for digital quantum simulation of gauge theories Lamm, Henry; Lawrence, Scott; Yamauchi, Yukari Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034518	journal	August 2019
Qubit regularization of the O ( 3 ) sigma model Singh, Hersh; Chandrasekharan, Shailesh Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.054505	journal	September 2019
Gluon field digitization for quantum computers Alexandru, Andrei; Bedaque, Paulo F.; Harmalkar, Siddhartha Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevD.100.114501	journal	December 2019
Quantum computation of thermal averages in the presence of a sign problem Clemente, Giuseppe; Cardinali, Marco; Bonati, Claudio Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074510	journal	April 2020
SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers Klco, Natalie; Savage, Martin J.; Stryker, Jesse R. Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074512	journal	April 2020
Loop, string, and hadron dynamics in SU(2) Hamiltonian lattice gauge theories Raychowdhury, Indrakshi; Stryker, Jesse R. Physical Review D, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevD.101.114502	journal	June 2020
Toward scalable simulations of lattice gauge theories on quantum computers Mathis, Simon V.; Mazzola, Guglielmo; Tavernelli, Ivano Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094501	journal	November 2020
Algorithm for quantum computation of particle decays Ciavarella, Anthony Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094505	journal	November 2020
Gluon field digitization via group space decimation for quantum computers Ji, Yao; Lamm, Henry; Zhu, Shuchen Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114513	journal	December 2020
State preparation and measurement in a quantum simulation of the O ( 3 ) sigma model Buser, Alexander J.; Bhattacharya, Tanmoy; Cincio, Lukasz Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114514	journal	December 2020
Toward quantum simulations of Z 2 gauge theory without state preparation Gustafson, Erik J.; Lamm, Henry Physical Review D, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevD.103.054507	journal	March 2021
Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis Ciavarella, Anthony; Klco, Natalie; Savage, Martin J. Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.094501	journal	May 2021
Prospects for simulating a qudit-based model of ( 1 + 1 ) D scalar QED Gustafson, Erik J. Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.114505	journal	June 2021
Quantum variational approach to lattice gauge theory at nonzero density Yamamoto, Arata Physical Review D, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevD.104.014506	journal	July 2021
Quantum simulation of light-front parton correlators Echevarria, M. G.; Egusquiza, I. L.; Rico, E. Physical Review D, Vol. 104, Issue 1 https://doi.org/10.1103/PhysRevD.104.014512	journal	July 2021
Search for efficient formulations for Hamiltonian simulation of non-Abelian lattice gauge theories Davoudi, Zohreh; Raychowdhury, Indrakshi; Shaw, Andrew Physical Review D, Vol. 104, Issue 7 https://doi.org/10.1103/PhysRevD.104.074505	journal	October 2021
Quantum algorithms for transport coefficients in gauge theories Cohen, Thomas D.; Lamm, Henry; Lawrence, Scott Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094514	journal	November 2021
Lattice renormalization of quantum simulations Carena, Marcela; Lamm, Henry; Li, Ying-Ying Physical Review D, Vol. 104, Issue 9 https://doi.org/10.1103/PhysRevD.104.094519	journal	November 2021
Spacetime symmetric qubit regularization of the asymptotically free two-dimensional O ( 4 ) model Zhou, Junzhe; Singh, Hersh; Bhattacharya, Tanmoy Physical Review D, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevD.105.054510	journal	March 2022
Quantum sampling for the Euclidean path integral of lattice gauge theory Yamamoto, Arata Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.094501	journal	May 2022
Classically emulated digital quantum simulation of the Schwinger model with a topological term via adiabatic state preparation Chakraborty, Bipasha; Honda, Masazumi; Izubuchi, Taku Physical Review D, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevD.105.094503	journal	May 2022
Primitive quantum gates for dihedral gauge theories Alam, M. Sohaib; Hadfield, Stuart; Lamm, Henry Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.114501	journal	June 2022
Spectrum of digitized QCD: Glueballs in a S ( 1080 ) gauge theory Alexandru, Andrei; Bedaque, Paulo F.; Brett, Ruairí Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.114508	journal	June 2022
Qubit regularized O ( N ) nonlinear sigma models Singh, Hersh Physical Review D, Vol. 105, Issue 11 https://doi.org/10.1103/PhysRevD.105.114509	journal	June 2022
Quantum simulation of nonequilibrium dynamics and thermalization in the Schwinger model de Jong, Wibe A.; Lee, Kyle; Mulligan, James Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.054508	journal	September 2022
Variational thermal quantum simulation of the lattice Schwinger model Xie, Xu-Dan; Guo, Xingyu; Xing, Hongxi Physical Review D, Vol. 106, Issue 5 https://doi.org/10.1103/PhysRevD.106.054509	journal	September 2022
Medium induced jet broadening in a quantum computer Barata, João; Du, Xiaojian; Li, Meijian Physical Review D, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevD.106.074013	journal	October 2022
Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer A. Rahman, Sarmed; Lewis, Randy; Mendicelli, Emanuele Physical Review D, Vol. 106, Issue 7 https://doi.org/10.1103/PhysRevD.106.074502	journal	October 2022
Toward the real-time evolution of gauge-invariant Z2 and U(1) quantum link models on noisy intermediate-scale quantum hardware with error mitigation Huffman, Emilie; García Vera, Miguel; Banerjee, Debasish Physical Review D, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevD.106.094502	journal	November 2022
How many quantum gates do gauge theories require? Murairi, Edison M.; Cervia, Michael J.; Kumar, Hersh Physical Review D, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevD.106.094504	journal	November 2022
Primitive quantum gates for an SU(2) discrete subgroup: Binary tetrahedral Gustafson, Erik J.; Lamm, Henry; Lovelace, Felicity Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114501	journal	December 2022
Gauge theory couplings on anisotropic lattices Carena, Marcela; Gustafson, Erik J.; Lamm, Henry Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114504	journal	December 2022
Strategies for the determination of the running coupling of ( 2+1 )-dimensional QED with quantum computing Clemente, Giuseppe; Crippa, Arianna; Jansen, Karl Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.114511	journal	December 2022
( 3+1 )-dimensional Schwinger pair production with quantum computers Xu, Bin; Xue, Wei Physical Review D, Vol. 106, Issue 11 https://doi.org/10.1103/PhysRevD.106.116007	journal	December 2022
Non-Abelian gauge invariance from dynamical decoupling Kasper, Valentin; Zache, Torsten V.; Jendrzejewski, Fred Physical Review D, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRevD.107.014506	journal	January 2023
Strategies for quantum-optimized construction of interpolating operators in classical simulations of lattice quantum field theories Avkhadiev, A.; Shanahan, P. E.; Young, R. D. Physical Review D, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevD.107.054507	journal	March 2023
Preparations for quantum simulations of quantum chromodynamics in 1+1 dimensions. II. Single-baryon β -decay in real time Farrell, Roland C.; Chernyshev, Ivan A.; Powell, Sarah J. M. Physical Review D, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevD.107.054513	journal	March 2023
Gluon digitization via character expansion for quantum computers Ji, Yao; Lamm, Henry; Zhu, Shuchen Physical Review D, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevD.107.114503	journal	June 2023
Quantum mean estimation for lattice field theory Gustafson, Erik J.; Lamm, Henry; Unmuth-Yockey, Judah Physical Review D, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevD.107.114511	journal	June 2023
Efficient representation for simulating U(1) gauge theories on digital quantum computers at all values of the coupling Bauer, Christian W.; Grabowska, Dorota M. Physical Review D, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevD.107.L031503	journal	February 2023
Quench dynamics of the Schwinger model via variational quantum algorithms Nagano, Lento; Bapat, Aniruddha; Bauer, Christian W. Physical Review D, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevD.108.034501	journal	August 2023
Quantum simulation of lattice QCD with improved Hamiltonians Ciavarella, Anthony N. Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.094513	journal	November 2023
Detecting the critical point through entanglement in the Schwinger model Ikeda, Kazuki; Kharzeev, Dmitri E.; Meyer, René Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.L091501	journal	November 2023
Hamiltonian formulation of Wilson's lattice gauge theories Kogut, John; Susskind, Leonard Physical Review D, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevD.11.395	journal	January 1975
Phase diagrams of lattice gauge theories with Higgs fields Fradkin, Eduardo; Shenker, Stephen H. Physical Review D, Vol. 19, Issue 12 https://doi.org/10.1103/PhysRevD.19.3682	journal	June 1979
Hamiltonian approach to Z ( N ) lattice gauge theories Horn, D.; Weinstein, M.; Yankielowicz, S. Physical Review D, Vol. 19, Issue 12 https://doi.org/10.1103/PhysRevD.19.3715	journal	June 1979
Monte Carlo study of Abelian lattice gauge theories Creutz, Michael; Jacobs, Laurence; Rebbi, Claudio Physical Review D, Vol. 20, Issue 8 https://doi.org/10.1103/PhysRevD.20.1915	journal	October 1979
1 N expansions and the phase diagram of discrete lattice gauge theories with matter fields Kogut, John B. Physical Review D, Vol. 21, Issue 8 https://doi.org/10.1103/PhysRevD.21.2316	journal	April 1980
Monte Ćarlo calculations and a model of the phase structure for gauge theories on discrete subgroups of SU(2) Petcher, D.; Weingarten, D. H. Physical Review D, Vol. 22, Issue 10 https://doi.org/10.1103/PhysRevD.22.2465	journal	November 1980
Monte Carlo simulations of lattice models with finite subgroups of SU(3) as gauge groups Bhanot, G.; Rebbi, C. Physical Review D, Vol. 24, Issue 12 https://doi.org/10.1103/PhysRevD.24.3319	journal	December 1981
Formulation of lattice gauge theories for quantum simulations Zohar, Erez; Burrello, Michele Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.054506	journal	March 2015
Gauge-invariant implementation of the Abelian-Higgs model on optical lattices Bazavov, A.; Meurice, Y.; Tsai, S. -W. Physical Review D, Vol. 92, Issue 7 https://doi.org/10.1103/PhysRevD.92.076003	journal	October 2015
Universal features of the Abelian Polyakov loop in 1 + 1 dimensions Unmuth-Yockey, J.; Zhang, Jin; Bazavov, A. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094511	journal	November 2018
Gauge-invariant rotor Hamiltonian from dual variables of 3D U ( 1 ) gauge theory Unmuth-Yockey, Judah F. Physical Review D, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevD.99.074502	journal	April 2019
Quantum simulation of scattering in the quantum Ising model Gustafson, Erik; Meurice, Y.; Unmuth-Yockey, Judah Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevD.99.094503	journal	May 2019
Tensor renormalization group study of the non-Abelian Higgs model in two dimensions Bazavov, Alexei; Catterall, Simon; Jha, Raghav G. Physical Review D, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevD.99.114507	journal	June 2019
Simulating Z2 lattice gauge theory on a quantum computer Charles, Clement; Gustafson, Erik J.; Hardt, Elizabeth Physical Review E, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevE.109.015307	journal	January 2024
Continuum limit of two-dimensional spin models with continuous symmetry and conformal quantum field theory Patrascioiu, Adrian; Seiler, Erhard Physical Review E, Vol. 57, Issue 1 https://doi.org/10.1103/PhysRevE.57.111	journal	January 1998
Phase diagram of a truncated tetrahedral model Krcmar, Roman; Gendiar, Andrej; Nishino, Tomotoshi Physical Review E, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevE.94.022134	journal	August 2016
Restrictions on Transversal Encoded Quantum Gate Sets Eastin, Bryan; Knill, Emanuel Physical Review Letters, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevLett.102.110502	journal	March 2009
Preparing Thermal States of Quantum Systems by Dimension Reduction Bilgin, Ersen; Boixo, Sergio Physical Review Letters, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevLett.105.170405	journal	October 2010
Thermalization in Nature and on a Quantum Computer Riera, Arnau; Gogolin, Christian; Eisert, Jens Physical Review Letters, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevLett.108.080402	journal	February 2012
Simulating Compact Quantum Electrodynamics with Ultracold Atoms: Probing Confinement and Nonperturbative Effects Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni Physical Review Letters, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevLett.109.125302	journal	September 2012
Cold-Atom Quantum Simulator for SU(2) Yang-Mills Lattice Gauge Theory Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.125304	journal	March 2013
Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits García-Álvarez, L.; Casanova, J.; Mezzacapo, A. Physical Review Letters, Vol. 114, Issue 7 https://doi.org/10.1103/PhysRevLett.114.070502	journal	February 2015
Efficient Synthesis of Universal Repeat-Until-Success Quantum Circuits Bocharov, Alex; Roetteler, Martin; Svore, Krysta M. Physical Review Letters, Vol. 114, Issue 8 https://doi.org/10.1103/PhysRevLett.114.080502	journal	February 2015
Simulating Hamiltonian Dynamics with a Truncated Taylor Series Berry, Dominic W.; Childs, Andrew M.; Cleve, Richard Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.090502	journal	March 2015
Optimal Hamiltonian Simulation by Quantum Signal Processing Low, Guang Hao; Chuang, Isaac L. Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.010501	journal	January 2017
Simulation of Nonequilibrium Dynamics on a Quantum Computer Lamm, Henry; Lawrence, Scott Physical Review Letters, Vol. 121, Issue 17 https://doi.org/10.1103/PhysRevLett.121.170501	journal	October 2018
Quantum Simulation of the Universal Features of the Polyakov Loop Zhang, Jin; Unmuth-Yockey, J.; Zeiher, J. Physical Review Letters, Vol. 121, Issue 22 https://doi.org/10.1103/PhysRevLett.121.223201	journal	November 2018
Random Compiler for Fast Hamiltonian Simulation Campbell, Earl Physical Review Letters, Vol. 123, Issue 7 https://doi.org/10.1103/PhysRevLett.123.070503	journal	August 2019
Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing Avkhadiev, A.; Shanahan, P. E.; Young, R. D. Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/PhysRevLett.124.080501	journal	February 2020
Reliability of Lattice Gauge Theories Halimeh, Jad C.; Hauke, Philipp Physical Review Letters, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRevLett.125.030503	journal	July 2020
Quantum Algorithm for High Energy Physics Simulations Nachman, Benjamin; Provasoli, Davide; de Jong, Wibe A. Physical Review Letters, Vol. 126, Issue 6 https://doi.org/10.1103/PhysRevLett.126.062001	journal	February 2021
Qubit Regularization of Asymptotic Freedom Bhattacharya, Tanmoy; Buser, Alexander J.; Chandrasekharan, Shailesh Physical Review Letters, Vol. 126, Issue 17 https://doi.org/10.1103/PhysRevLett.126.172001	journal	April 2021
Simulating Collider Physics on Quantum Computers Using Effective Field Theories Bauer, Christian W.; Nachman, Benjamin; Freytsis, Marat Physical Review Letters, Vol. 127, Issue 21 https://doi.org/10.1103/PhysRevLett.127.212001	journal	November 2021
Photon-Mediated Stroboscopic Quantum Simulation of a Z 2 Lattice Gauge Theory Armon, Tsafrir; Ashkenazi, Shachar; García-Moreno, Gerardo Physical Review Letters, Vol. 127, Issue 25 https://doi.org/10.1103/PhysRevLett.127.250501	journal	December 2021
From Asymptotic Freedom to θ Vacua: Qubit Embeddings of the O(3) Nonlinear σ Model Caspar, Stephan; Singh, Hersh Physical Review Letters, Vol. 129, Issue 2 https://doi.org/10.1103/PhysRevLett.129.022003	journal	July 2022
Improved Hamiltonians for Quantum Simulations of Gauge Theories Carena, Marcela; Lamm, Henry; Li, Ying-Ying Physical Review Letters, Vol. 129, Issue 5 https://doi.org/10.1103/PhysRevLett.129.051601	journal	July 2022
Hardware Efficient Quantum Simulation of Non-Abelian Gauge Theories with Qudits on Rydberg Platforms González-Cuadra, Daniel; Zache, Torsten V.; Carrasco, Jose Physical Review Letters, Vol. 129, Issue 16 https://doi.org/10.1103/PhysRevLett.129.160501	journal	October 2022
Towards Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States Davoudi, Zohreh; Mueller, Niklas; Powers, Connor Physical Review Letters, Vol. 131, Issue 8 https://doi.org/10.1103/PhysRevLett.131.081901	journal	August 2023
Quantum and Classical Spin-Network Algorithms for q -Deformed Kogut-Susskind Gauge Theories Zache, Torsten V.; González-Cuadra, Daniel; Zoller, Peter Physical Review Letters, Vol. 131, Issue 17 https://doi.org/10.1103/PhysRevLett.131.171902	journal	October 2023
Family of Quantum Codes with Exotic Transversal Gates Kubischta, Eric; Teixeira, Ian Physical Review Letters, Vol. 131, Issue 24 https://doi.org/10.1103/PhysRevLett.131.240601	journal	December 2023
Error Correcting Codes in Quantum Theory Steane, A. M. Physical Review Letters, Vol. 77, Issue 5 https://doi.org/10.1103/PhysRevLett.77.793	journal	July 1996
Solving Gauss's law on digital quantum computers with loop-string-hadron digitization Raychowdhury, Indrakshi; Stryker, Jesse R. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033039	journal	July 2020
Computation of Green's function by local variational quantum compilation Kanasugi, Shota; Tsutsui, Shoichiro; Nakagawa, Yuya O. Physical Review Research, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevResearch.5.033070	journal	August 2023
Theory of Trotter Error with Commutator Scaling Childs, Andrew M.; Su, Yuan; Tran, Minh C. Physical Review X, Vol. 11, Issue 1 https://doi.org/10.1103/PhysRevX.11.011020	journal	February 2021
Quantum algorithms for algebraic problems Childs, Andrew M.; van Dam, Wim Reviews of Modern Physics, Vol. 82, Issue 1 https://doi.org/10.1103/RevModPhys.82.1	journal	January 2010
Quantum Algorithms for Quantum Field Theories Jordan, S. P.; Lee, K. S. M.; Preskill, J. Science, Vol. 336, Issue 6085 https://doi.org/10.1126/science.1217069	journal	May 2012
Digitising SU(2) gauge fields and the freezing transition Hartung, Tobias; Jakobs, Timo; Jansen, Karl The European Physical Journal C, Vol. 82, Issue 3 https://doi.org/10.1140/epjc/s10052-022-10192-5	journal	March 2022
Simulating lattice gauge theories within quantum technologies Bañuls, Mari Carmen; Blatt, Rainer; Catani, Jacopo The European Physical Journal D, Vol. 74, Issue 8 https://doi.org/10.1140/epjd/e2020-100571-8	journal	August 2020
Dihedral lattice gauge theories on a quantum annealer Fromm, Michael; Philipsen, Owe; Winterowd, Christopher EPJ Quantum Technology, Vol. 10, Issue 1 https://doi.org/10.1140/epjqt/s40507-023-00188-9	journal	August 2023
Approaches to the sign problem in lattice field theory Gattringer, Christof; Langfeld, Kurt International Journal of Modern Physics A, Vol. 31, Issue 22 https://doi.org/10.1142/S0217751X16430077	journal	August 2016
Generic quantum Fourier transforms Moore, Cristopher; Rockmore, Daniel; Russell, Alexander ACM Transactions on Algorithms, Vol. 2, Issue 4 https://doi.org/10.1145/1198513.1198525	journal	October 2006
Asymptotic freedom with discrete spin variables? Hasenfratz, Peter; Niedermayer, Ferenc Proceedings of International Europhysics Conference on High Energy Physics — PoS(hep2001) https://doi.org/10.22323/1.007.0229	conference	December 2001
BQP-completeness of scattering in scalar quantum field theory Jordan, Stephen P.; Krovi, Hari; Lee, Keith S. M. Quantum, Vol. 2 https://doi.org/10.22331/q-2018-01-08-44	journal	January 2018
Hamiltonian Simulation by Qubitization Low, Guang Hao; Chuang, Isaac L. Quantum, Vol. 3 https://doi.org/10.22331/q-2019-07-12-163	journal	July 2019
Quantum Algorithms for Simulating the Lattice Schwinger Model Shaw, Alexander F.; Lougovski, Pavel; Stryker, Jesse R. Quantum, Vol. 4 https://doi.org/10.22331/q-2020-08-10-306	journal	August 2020
A resource efficient approach for quantum and classical simulations of gauge theories in particle physics Haase, Jan F.; Dellantonio, Luca; Celi, Alessio Quantum, Vol. 5 https://doi.org/10.22331/q-2021-02-04-393	journal	February 2021
The 2T-qutrit, a two-mode bosonic qutrit Denys, Aurélie; Leverrier, Anthony Quantum, Vol. 7 https://doi.org/10.22331/q-2023-06-05-1032	journal	June 2023
Fermion-qudit quantum processors for simulating lattice gauge theories with matter Zache, Torsten V.; González-Cuadra, Daniel; Zoller, Peter Quantum, Vol. 7 https://doi.org/10.22331/q-2023-10-16-1140	journal	October 2023
General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory Davoudi, Zohreh; Shaw, Alexander F.; Stryker, Jesse R. Quantum, Vol. 7 https://doi.org/10.22331/q-2023-12-20-1213	journal	December 2023
Quantum computation of scattering in scalar quantum field theories Jordan, Stephen P.; Lee, Keith S. M.; Preskill, John Quantum Information and Computation, Vol. 14, Issue 11&12 https://doi.org/10.26421/QIC14.11-12-8	journal	September 2014
Efficient Clifford+T approximation of single-qubit operators Selinger, Peter Quantum Information and Computation, Vol. 15, Issue 1&2 https://doi.org/10.26421/QIC15.1-2-10	journal	January 2015
Light-Front Field Theory on Current Quantum Computers Kreshchuk, Michael; Jia, Shaoyang; Kirby, William M. Entropy, Vol. 23, Issue 5 https://doi.org/10.3390/e23050597	journal	May 2021

Similar Records

Primitive quantum gates for an

S U (3)

discrete subgroup:

Σ (36 \times 3)

Journal Article · Thu Aug 22 20:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2437795

Observation of

ψ (3686) \to 3 ϕ

Journal Article · Thu Apr 25 00:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2340975

Block encodings of discrete subgroups on a quantum computer

Journal Article · Sun Sep 08 20:00:00 EDT 2024 · Physical Review. D. · OSTI ID:2440062

Primitive quantum gates for an S U ( 2 ) discrete subgroup: Binary octahedral

Citation Formats

References (157)

Similar Records

Related Subjects

Primitive quantum gates for an $S U (2)$ discrete subgroup: Binary octahedral