Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states

Illa, Marc; Savage, Martin J.

doi:10.1103/physreva.106.052605

Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states

Journal Article · Mon Nov 14 00:00:00 EST 2022 · Physical Review A

DOI:https://doi.org/10.1103/physreva.106.052605· OSTI ID:2421668

^[1]; ^[2]

Univ. of Washington, Seattle, WA (United States); OSTI
Univ. of Washington, Seattle, WA (United States)

Here, we explore the potential of D-Wave's quantum annealers for computing some of the basic components required for quantum simulations of standard model physics. By implementing a basic multigrid (including “zooming”) and specializing Feynman-clock algorithms, D-Wave's Advantage is used to study harmonic and anharmonic oscillators relevant for lattice scalar field theories and effective field theories, the time evolution of a single plaquette of SU(3) Yang-Mills lattice gauge field theory, and the dynamics of flavor entanglement in four-neutrino systems.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0020970

OSTI ID:: 2421668

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 5 Vol. 106; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (153)

Implementing quantum electrodynamics with ultracold atomic systems Kasper, V.; Hebenstreit, Florian; Jendrzejewski, Fred Institute of Physics (IOP),Deutsche Physikalische Gesellschaft (DPG) https://doi.org/10.5446/38457	audiovisual	January 2017
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories Wiese, U. ‐J. Annalen der Physik, Vol. 525, Issue 10-11 https://doi.org/10.1002/andp.201300104	journal	July 2013
Quantum Semantic Learning by Reverse Annealing of an Adiabatic Quantum Computer Rocutto, Lorenzo; Destri, Claudio; Prati, Enrico Advanced Quantum Technologies, Vol. 4, Issue 2 https://doi.org/10.1002/qute.202000133	journal	December 2020
The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines Benioff, Paul Journal of Statistical Physics, Vol. 22, Issue 5 https://doi.org/10.1007/BF01011339	journal	May 1980
Conservative logic Fredkin, Edward; Toffoli, Tommaso International Journal of Theoretical Physics, Vol. 21, Issue 3-4 https://doi.org/10.1007/BF01857727	journal	April 1982
Quantum mechanical computers Feynman, Richard P. Foundations of Physics, Vol. 16, Issue 6 https://doi.org/10.1007/BF01886518	journal	June 1986
Simulating physics with computers Feynman, Richard P. International Journal of Theoretical Physics, Vol. 21, Issue 6-7 https://doi.org/10.1007/BF02650179	journal	June 1982
Quantum adiabatic machine learning Pudenz, Kristen L.; Lidar, Daniel A. Quantum Information Processing, Vol. 12, Issue 5 https://doi.org/10.1007/s11128-012-0506-4	journal	November 2012
Enhancing quantum annealing performance for the molecular similarity problem Hernandez, Maritza; Aramon, Maliheh Quantum Information Processing, Vol. 16, Issue 5 https://doi.org/10.1007/s11128-017-1586-y	journal	April 2017
Collective neutrino oscillations on a quantum computer Yeter-Aydeniz, Kübra; Bangar, Shikha; Siopsis, George Quantum Information Processing, Vol. 21, Issue 3 https://doi.org/10.1007/s11128-021-03348-x	journal	February 2022
Benchmarking Quantum Annealing Against “Hard” Instances of the Bipartite Matching Problem Vert, Daniel; Sirdey, Renaud; Louise, Stéphane SN Computer Science, Vol. 2, Issue 2 https://doi.org/10.1007/s42979-021-00483-1	journal	February 2021
Quantum annealing: A new method for minimizing multidimensional functions Finnila, A. B.; Gomez, M. A.; Sebenik, C. Chemical Physics Letters, Vol. 219, Issue 5-6 https://doi.org/10.1016/0009-2614(94)00117-0	journal	March 1994
Neutrino oscillations at high densities Pantaleone, James Physics Letters B, Vol. 287, Issue 1-3 https://doi.org/10.1016/0370-2693(92)91887-F	journal	August 1992
Optical Abelian lattice gauge theories Tagliacozzo, L.; Celi, A.; Zamora, A. Annals of Physics, Vol. 330 https://doi.org/10.1016/j.aop.2012.11.009	journal	March 2013
Two-dimensional lattice gauge theories with superconducting quantum circuits Marcos, D.; Widmer, P.; Rico, E. Annals of Physics, Vol. 351 https://doi.org/10.1016/j.aop.2014.09.011	journal	December 2014
Speed-up through entanglement—many-body effects in neutrino processes Bell, Nicole F.; Rawlinson, Andrew A.; Sawyer, R. F. Physics Letters B, Vol. 573 https://doi.org/10.1016/j.physletb.2003.08.035	journal	October 2003
Schwinger pair production with ultracold atoms Kasper, V.; Hebenstreit, F.; Oberthaler, M. K. Physics Letters B, Vol. 760 https://doi.org/10.1016/j.physletb.2016.07.036	journal	September 2016
Calculation of Molecular Vibrational Spectra on a Quantum Annealer Teplukhin, Alexander; Kendrick, Brian K.; Babikov, Dmitri Journal of Chemical Theory and Computation, Vol. 15, Issue 8 https://doi.org/10.1021/acs.jctc.9b00402	journal	June 2019
Electronic Structure Calculations and the Ising Hamiltonian Xia, Rongxin; Bian, Teng; Kais, Sabre The Journal of Physical Chemistry B, Vol. 122, Issue 13 https://doi.org/10.1021/acs.jpcb.7b10371	journal	October 2017
Quantum annealing with manufactured spins Johnson, M. W.; Amin, M. H. S.; Gildert, S. Nature, Vol. 473, Issue 7346 https://doi.org/10.1038/nature10012	journal	May 2011
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer Martinez, Esteban A.; Muschik, Christine A.; Schindler, Philipp Nature, Vol. 534, Issue 7608 https://doi.org/10.1038/nature18318	journal	June 2016
Solving a Higgs optimization problem with quantum annealing for machine learning Mott, Alex; Job, Joshua; Vlimant, Jean-Roch Nature, Vol. 550, Issue 7676 https://doi.org/10.1038/nature24047	journal	October 2017
Simulation of non-Abelian gauge theories with optical lattices Tagliacozzo, L.; Celi, A.; Orland, P. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3615	journal	October 2013
Evidence for quantum annealing with more than one hundred qubits Boixo, Sergio; Rønnow, Troels F.; Isakov, Sergei V. Nature Physics, Vol. 10, Issue 3 https://doi.org/10.1038/nphys2900	journal	February 2014
Scaling advantage over path-integral Monte Carlo in quantum simulation of geometrically frustrated magnets King, Andrew D.; Raymond, Jack; Lanting, Trevor Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-20901-5	journal	February 2021
SU(2) hadrons on a quantum computer via a variational approach Atas, Yasar Y.; Zhang, Jinglei; Lewis, Randy Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-26825-4	journal	November 2021
Quantum annealing versus classical machine learning applied to a simplified computational biology problem Li, Richard Y.; Di Felice, Rosa; Rohs, Remo npj Quantum Information, Vol. 4, Issue 1 https://doi.org/10.1038/s41534-018-0060-8	journal	February 2018
Analog errors in quantum annealing: doom and hope Pearson, Adam; Mishra, Anurag; Hen, Itay npj Quantum Information, Vol. 5, Issue 1 https://doi.org/10.1038/s41534-019-0210-7	journal	November 2019
Variational fast forwarding for quantum simulation beyond the coherence time Cîrstoiu, Cristina; Holmes, Zoë; Iosue, Joseph npj Quantum Information, Vol. 6, Issue 1 https://doi.org/10.1038/s41534-020-00302-0	journal	September 2020
Coherent quantum annealing in a programmable 2,000 qubit Ising chain King, Andrew D.; Suzuki, Sei; Raymond, Jack Nature Physics, Vol. 18, Issue 11 https://doi.org/10.1038/s41567-022-01741-6	journal	September 2022
Observation of topological phenomena in a programmable lattice of 1,800 qubits King, Andrew D.; Carrasquilla, Juan; Raymond, Jack Nature, Vol. 560, Issue 7719 https://doi.org/10.1038/s41586-018-0410-x	journal	August 2018
Defects in Quantum Computers Gardas, Bartłomiej; Dziarmaga, Jacek; Zurek, Wojciech H. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-22763-2	journal	March 2018
Quantum Annealing for Prime Factorization Jiang, Shuxian; Britt, Keith A.; McCaskey, Alexander J. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-36058-z	journal	December 2018
Quantum annealing for systems of polynomial equations Chang, Chia Cheng; Gambhir, Arjun; Humble, Travis S. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-46729-0	journal	July 2019
A regression algorithm for accelerated lattice QCD that exploits sparse inference on the D-Wave quantum annealer Nguyen, Nga T. T.; Kenyon, Garrett T.; Yoon, Boram Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-67769-x	journal	July 2020
Parallel in time dynamics with quantum annealers Jałowiecki, Konrad; Więckowski, Andrzej; Gawron, Piotr Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-70017-x	journal	August 2020
Electronic structure with direct diagonalization on a D-wave quantum annealer Teplukhin, Alexander; Kendrick, Brian K.; Tretiak, Sergei Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-77315-4	journal	November 2020
Hybrid quantum annealing via molecular dynamics Irie, Hirotaka; Liang, Haozhao; Doi, Takumi Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-87676-z	journal	April 2021
Computing molecular excited states on a D-Wave quantum annealer Teplukhin, Alexander; Kendrick, Brian K.; Mniszewski, Susan M. Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-98331-y	journal	September 2021
Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization Oshiyama, Hiroki; Ohzeki, Masayuki Scientific Reports, Vol. 12, Issue 1 https://doi.org/10.1038/s41598-022-06070-5	journal	February 2022
Finding low-energy conformations of lattice protein models by quantum annealing Perdomo-Ortiz, Alejandro; Dickson, Neil; Drew-Brook, Marshall Scientific Reports, Vol. 2, Issue 1 https://doi.org/10.1038/srep00571	journal	August 2012
Experimental quantum annealing: case study involving the graph isomorphism problem Zick, Kenneth M.; Shehab, Omar; French, Matthew Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep11168	journal	June 2015
Prime factorization using quantum annealing and computational algebraic geometry Dridi, Raouf; Alghassi, Hedayat Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep43048	journal	February 2017
Solving complex eigenvalue problems on a quantum annealer with applications to quantum scattering resonances Teplukhin, Alexander; Kendrick, Brian K.; Babikov, Dmitri Physical Chemistry Chemical Physics, Vol. 22, Issue 45 https://doi.org/10.1039/D0CP04272B	journal	January 2020
Information is Physical Landauer, Rolf Physics Today, Vol. 44, Issue 5 https://doi.org/10.1063/1.881299	journal	May 1991
Feynman’s clock, a new variational principle, and parallel-in-time quantum dynamics McClean, Jarrod R.; Parkhill, John A.; Aspuru-Guzik, Alán Proceedings of the National Academy of Sciences, Vol. 110, Issue 41 https://doi.org/10.1073/pnas.1308069110	journal	September 2013
Neutrino oscillations and the leptonic charge of the universe Savage, Martin J.; Malaney, Robert A.; Fuller, George M. The Astrophysical Journal, Vol. 368 https://doi.org/10.1086/169665	journal	February 1991
Do many-particle neutrino interactions cause a novel coherent effect? Friedland, Alexander; Lunardini, Cecilia Journal of High Energy Physics, Vol. 2003, Issue 10 https://doi.org/10.1088/1126-6708/2003/10/043	journal	October 2003
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
The Kitaev–Feynman clock for open quantum systems Tempel, David G.; Aspuru-Guzik, Alán New Journal of Physics, Vol. 16, Issue 11 https://doi.org/10.1088/1367-2630/16/11/113066	journal	November 2014
Real-time dynamics and proposal for feasible experiments of lattice gauge–Higgs model simulated by cold atoms Kuno, Yoshihito; Kasamatsu, Kenichi; Takahashi, Yoshiro New Journal of Physics, Vol. 17, Issue 6 https://doi.org/10.1088/1367-2630/17/6/063005	journal	June 2015
Implementing quantum electrodynamics with ultracold atomic systems Kasper, V.; Hebenstreit, F.; Jendrzejewski, F. New Journal of Physics, Vol. 19, Issue 2 https://doi.org/10.1088/1367-2630/aa54e0	journal	February 2017
Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms González-Cuadra, Daniel; Zohar, Erez; Cirac, J. Ignacio New Journal of Physics, Vol. 19, Issue 6 https://doi.org/10.1088/1367-2630/aa6f37	journal	June 2017
U(1) Wilson lattice gauge theories in digital quantum simulators Muschik, Christine; Heyl, Markus; Martinez, Esteban New Journal of Physics, Vol. 19, Issue 10 https://doi.org/10.1088/1367-2630/aa89ab	journal	October 2017
Opportunities and challenges for quantum-assisted machine learning in near-term quantum computers Perdomo-Ortiz, Alejandro; Benedetti, Marcello; Realpe-Gómez, John Quantum Science and Technology, Vol. 3, Issue 3 https://doi.org/10.1088/2058-9565/aab859	journal	June 2018
Domain wall encoding of discrete variables for quantum annealing and QAOA Chancellor, Nicholas Quantum Science and Technology, Vol. 4, Issue 4 https://doi.org/10.1088/2058-9565/ab33c2	journal	August 2019
A path towards quantum advantage in training deep generative models with quantum annealers Winci, Walter; Buffoni, Lorenzo; Sadeghi, Hossein Machine Learning: Science and Technology, Vol. 1, Issue 4 https://doi.org/10.1088/2632-2153/aba220	journal	November 2020
Multi-level adaptive solutions to boundary-value problems Brandt, Achi Mathematics of Computation, Vol. 31, Issue 138 https://doi.org/10.1090/S0025-5718-1977-0431719-X	journal	May 1977
Cold atoms meet lattice gauge theory Aidelsburger, Monika; Barbiero, Luca; Bermudez, Alejandro Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, Issue 2216 https://doi.org/10.1098/rsta.2021.0064	journal	December 2021
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories Wiese, Uwe-Jens Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, Issue 2216 https://doi.org/10.1098/rsta.2021.0068	journal	December 2021
Simulating the Shastry-Sutherland Ising Model Using Quantum Annealing Kairys, Paul; King, Andrew D.; Ozfidan, Isil PRX Quantum, Vol. 1, Issue 2 https://doi.org/10.1103/PRXQuantum.1.020320	journal	December 2020
Quantum Computer Systems for Scientific Discovery Alexeev, Yuri; Bacon, Dave; Brown, Kenneth R. PRX Quantum, Vol. 2, Issue 1 https://doi.org/10.1103/PRXQuantum.2.017001	journal	February 2021
Simulating 2D Effects in Lattice Gauge Theories on a Quantum Computer Paulson, Danny; Dellantonio, Luca; Haase, Jan F. PRX Quantum, Vol. 2, Issue 3 https://doi.org/10.1103/PRXQuantum.2.030334	journal	August 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
Simulations of subatomic many-body physics on a quantum frequency processor Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M. Physical Review A, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevA.100.012320	journal	July 2019
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
Systematically localizable operators for quantum simulations of quantum field theories Klco, Natalie; Savage, Martin J. Physical Review A, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevA.102.012619	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
Griffiths-McCoy singularity on the diluted Chimera graph: Monte Carlo simulations and experiments on quantum hardware Nishimura, Kohji; Nishimori, Hidetoshi; Katzgraber, Helmut G. Physical Review A, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevA.102.042403	journal	October 2020
Quantum adiabatic machine learning by zooming into a region of the energy surface Zlokapa, Alexander; Mott, Alex; Job, Joshua Physical Review A, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevA.102.062405	journal	December 2020
Bosonic field digitization for quantum computers Macridin, Alexandru; Li, Andy C. Y.; Mrenna, Stephen Physical Review A, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevA.105.052405	journal	May 2022
Simulating lattice gauge theories on a quantum computer Byrnes, Tim; Yamamoto, Yoshihisa Physical Review A, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevA.73.022328	journal	February 2006
Construction of model Hamiltonians for adiabatic quantum computation and its application to finding low-energy conformations of lattice protein models Perdomo, Alejandro; Truncik, Colin; Tubert-Brohman, Ivan Physical Review A, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevA.78.012320	journal	July 2008
Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning Benedetti, Marcello; Realpe-Gómez, John; Biswas, Rupak Physical Review A, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevA.94.022308	journal	August 2016
Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model Kuno, Yoshihito; Sakane, Shinya; Kasamatsu, Kenichi Physical Review A, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevA.94.063641	journal	December 2016
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
Quantum-classical computation of Schwinger model dynamics using quantum computers Klco, N.; Dumitrescu, E. F.; McCaskey, A. J. Physical Review A, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevA.98.032331	journal	September 2018
Digital quantum computation of fermion-boson interacting systems Macridin, Alexandru; Spentzouris, Panagiotis; Amundson, James Physical Review A, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevA.98.042312	journal	October 2018
Oracles for Gauss's law on digital quantum computers Stryker, Jesse R. Physical Review A, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevA.99.042301	journal	April 2019
Digitization of scalar fields for quantum computing Klco, Natalie; Savage, Martin J. Physical Review A, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevA.99.052335	journal	May 2019
Benchmarking Quantum Annealing Controls with Portfolio Optimization Grant, Erica; Humble, Travis S.; Stump, Benjamin Physical Review Applied, Vol. 15, Issue 1 https://doi.org/10.1103/PhysRevApplied.15.014012	journal	January 2021
Compound Josephson-junction coupler for flux qubits with minimal crosstalk Harris, R.; Lanting, T.; Berkley, A. J. Physical Review B, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevB.80.052506	journal	August 2009
Exact solution of multiangle quantum many-body collective neutrino-flavor oscillations Rrapaj, Ermal Physical Review C, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevC.101.065805	journal	June 2020
Entanglement and collective flavor oscillations in a dense neutrino gas Cervia, Michael J.; Patwardhan, Amol V.; Balantekin, A. B. Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevD.100.083001	journal	October 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
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
Gauss’s law, duality, and the Hamiltonian formulation of U(1) lattice gauge theory Kaplan, David B.; Stryker, Jesse R. Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094515	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
Quantum computing for quantum tunneling Abel, Steven; Chancellor, Nicholas; Spannowsky, Michael Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.016008	journal	January 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
SU(2) lattice gauge theory on a quantum annealer A. Rahman, Sarmed; Lewis, Randy; Mendicelli, Emanuele Physical Review D, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevD.104.034501	journal	August 2021
Investigating a (3+1)D topological θ -term in the Hamiltonian formulation of lattice gauge theories for quantum and classical simulations Kan, Angus; Funcke, Lena; Kühn, Stefan Physical Review D, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevD.104.034504	journal	August 2021
Simulation of collective neutrino oscillations on a quantum computer Hall, Benjamin; Roggero, Alessandro; Baroni, Alessandro Physical Review D, Vol. 104, Issue 6 https://doi.org/10.1103/PhysRevD.104.063009	journal	September 2021
Entanglement and many-body effects in collective neutrino oscillations Roggero, Alessandro Physical Review D, Vol. 104, Issue 10 https://doi.org/10.1103/PhysRevD.104.103016	journal	November 2021
Dynamical phase transitions in models of collective neutrino oscillations Roggero, Alessandro Physical Review D, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevD.104.123023	journal	December 2021
Preparation of the SU(3) lattice Yang-Mills vacuum with variational quantum methods Ciavarella, Anthony N.; Chernyshev, Ivan A. Physical Review D, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevD.105.074504	journal	April 2022
Classical and quantum evolution in a simple coherent neutrino problem Martin, Joshua D.; Roggero, A.; Duan, Huaiyu Physical Review D, Vol. 105, Issue 8 https://doi.org/10.1103/PhysRevD.105.083020	journal	April 2022
Collective neutrino oscillations with tensor networks using a time-dependent variational principle Cervia, Michael J.; Siwach, Pooja; Patwardhan, Amol V. Physical Review D, Vol. 105, Issue 12 https://doi.org/10.1103/PhysRevD.105.123025	journal	June 2022
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
Oscillating neutrinos in the early Universe McKellar, Bruce H. J.; Thomson, Mark J. Physical Review D, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevD.49.2710	journal	March 1994
Neutrino-neutrino scattering and matter-enhanced neutrino flavor transformation in supernovae Qian, Yong-Zhong; Fuller, George M. Physical Review D, Vol. 51, Issue 4 https://doi.org/10.1103/PhysRevD.51.1479	journal	February 1995
QCD as a quantum link model Brower, R.; Chandrasekharan, S.; Wiese, U. -J. Physical Review D, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevD.60.094502	journal	September 1999
Simulation of coherent nonlinear neutrino flavor transformation in the supernova environment: Correlated neutrino trajectories Duan, Huaiyu; Fuller, George M.; Carlson, J. Physical Review D, Vol. 74, Issue 10 https://doi.org/10.1103/PhysRevD.74.105014	journal	November 2006
Invariants of collective neutrino oscillations Pehlivan, Y.; Balantekin, A. B.; Kajino, Toshitaka Physical Review D, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevD.84.065008	journal	September 2011
New class of variance-reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094503	journal	November 2013
Covariant approximation averaging Shintani, Eigo; Arthur, Rudy; Blum, Thomas Physical Review D, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevD.91.114511	journal	June 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
Quantum annealing in the transverse Ising model Kadowaki, Tadashi; Nishimori, Hidetoshi Physical Review E, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevE.58.5355	journal	November 1998
Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation Peng, Xinhua; Liao, Zeyang; Xu, Nanyang Physical Review Letters, Vol. 101, Issue 22 https://doi.org/10.1103/PhysRevLett.101.220405	journal	November 2008
Confinement and Lattice Quantum-Electrodynamic Electric Flux Tubes Simulated with Ultracold Atoms Zohar, Erez; Reznik, Benni Physical Review Letters, Vol. 107, Issue 27 https://doi.org/10.1103/PhysRevLett.107.275301	journal	December 2011
Quantum Factorization of 143 on a Dipolar-Coupling Nuclear Magnetic Resonance System Xu, Nanyang; Zhu, Jing; Lu, Dawei Physical Review Letters, Vol. 108, Issue 13 https://doi.org/10.1103/PhysRevLett.108.130501	journal	March 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
Simulating ( 2 + 1 )-Dimensional Lattice QED with Dynamical Matter Using Ultracold Atoms Zohar, Erez; Cirac, J. Ignacio; Reznik, Benni Physical Review Letters, Vol. 110, Issue 5 https://doi.org/10.1103/PhysRevLett.110.055302	journal	January 2013
Atomic Quantum Simulation of U ( N ) and SU ( N ) Non-Abelian Lattice Gauge Theories Banerjee, D.; Bögli, M.; Dalmonte, M. Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.125303	journal	March 2013
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
Loops and Strings in a Superconducting Lattice Gauge Simulator Brennen, G. K.; Pupillo, G.; Rico, E. Physical Review Letters, Vol. 117, Issue 24 https://doi.org/10.1103/PhysRevLett.117.240504	journal	December 2016
Electron-Phonon Systems on a Universal Quantum Computer Macridin, Alexandru; Spentzouris, Panagiotis; Amundson, James Physical Review Letters, Vol. 121, Issue 11 https://doi.org/10.1103/PhysRevLett.121.110504	journal	September 2018
Scaling and Diabatic Effects in Quantum Annealing with a D-Wave Device Weinberg, Phillip; Tylutki, Marek; Rönkkö, Jami M. Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.090502	journal	March 2020
Scalable Cold-Atom Quantum Simulator for Two-Dimensional QED Ott, R.; Zache, T. V.; Jendrzejewski, F. Physical Review Letters, Vol. 127, Issue 13 https://doi.org/10.1103/PhysRevLett.127.130504	journal	September 2021
Neutrino oscillations in a quantum processor Argüelles, C. A.; Jones, B. J. P. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/PhysRevResearch.1.033176	journal	December 2019
Towards analog quantum simulations of lattice gauge theories with trapped ions Davoudi, Zohreh; Hafezi, Mohammad; Monroe, Christopher Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023015	journal	April 2020
Probing the universality of topological defect formation in a quantum annealer: Kibble-Zurek mechanism and beyond Bando, Yuki; Susa, Yuki; Oshiyama, Hiroki Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033369	journal	September 2020
Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach Davoudi, Zohreh; Linke, Norbert M.; Pagano, Guido Physical Review Research, Vol. 3, Issue 4 https://doi.org/10.1103/PhysRevResearch.3.043072	journal	October 2021
Solving systems of Boolean multivariate equations with quantum annealing Ramos-Calderer, Sergi; Bravo-Prieto, Carlos; Lin, Ruge Physical Review Research, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevResearch.4.013096	journal	February 2022
Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions Hauke, P.; Marcos, D.; Dalmonte, M. Physical Review X, Vol. 3, Issue 4 https://doi.org/10.1103/PhysRevX.3.041018	journal	November 2013
Efficient Basis Formulation for ( 1 + 1 )-Dimensional SU(2) Lattice Gauge Theory: Spectral Calculations with Matrix Product States Bañuls, Mari Carmen; Cichy, Krzysztof; Cirac, J. Ignacio Physical Review X, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevX.7.041046	journal	November 2017
Quantum Boltzmann Machine Amin, Mohammad H.; Andriyash, Evgeny; Rolfe, Jason Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/PhysRevX.8.021050	journal	May 2018
An introduction to lattice gauge theory and spin systems Kogut, John B. Reviews of Modern Physics, Vol. 51, Issue 4 https://doi.org/10.1103/RevModPhys.51.659	journal	October 1979
Solving the Optimal Trading Trajectory Problem Using a Quantum Annealer Rosenberg, Gili; Haghnegahdar, Poya; Goddard, Phil IEEE Journal of Selected Topics in Signal Processing, Vol. 10, Issue 6 https://doi.org/10.1109/JSTSP.2016.2574703	journal	September 2016
IPython: A System for Interactive Scientific Computing Perez, Fernando; Granger, Brian E. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.53	journal	January 2007
Matplotlib: A 2D Graphics Environment Hunter, John D. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.55	journal	January 2007
Benchmarking Hamiltonian Noise in the D-Wave Quantum Annealer Zaborniak, Tristan; de Sousa, Rogerio IEEE Transactions on Quantum Engineering, Vol. 2 https://doi.org/10.1109/TQE.2021.3050449	journal	January 2021
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem Farhi, E.; Goldstone, J.; Gutmann, S. Science, Vol. 292, Issue 5516 https://doi.org/10.1126/science.1057726	journal	April 2001
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
Phase transitions in a programmable quantum spin glass simulator Harris, R.; Sato, Y.; Berkley, A. J. Science, Vol. 361, Issue 6398 https://doi.org/10.1126/science.aat2025	journal	July 2018
Qubit spin ice King, Andrew D.; Nisoli, Cristiano; Dahl, Edward D. Science, Vol. 373, Issue 6554 https://doi.org/10.1126/science.abe2824	journal	July 2021
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
Bayesian network structure learning using quantum annealing O’Gorman, B.; Babbush, R.; Perdomo-Ortiz, A. The European Physical Journal Special Topics, Vol. 224, Issue 1 https://doi.org/10.1140/epjst/e2015-02349-9	journal	February 2015
Logical Reversibility of Computation Bennett, C. H. IBM Journal of Research and Development, Vol. 17, Issue 6 https://doi.org/10.1147/rd.176.0525	journal	November 1973
Irreversibility and Heat Generation in the Computing Process Landauer, R. IBM Journal of Research and Development, Vol. 5, Issue 3 https://doi.org/10.1147/rd.53.0183	journal	July 1961
Quantum Mechanical Computers Feynman, Richard P. Optics News, Vol. 11, Issue 2 https://doi.org/10.1364/ON.11.2.000011	journal	January 1985
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
Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Real Time Dynamics and Confinement in the Z n Schwinger-Weyl lattice model for 1+1 QED Magnifico, Giuseppe; Dalmonte, Marcello; Facchi, Paolo Quantum, Vol. 4 https://doi.org/10.22331/q-2020-06-15-281	journal	June 2020
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
The role of symmetries in adiabatic quantum algorithms Schaller, G.; Schutzhold, R. Quantum Information and Computation, Vol. 10, Issue 1&2 https://doi.org/10.26421/QIC10.1-2-9	journal	January 2010
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
Reinforcement learning using quantum Boltzmann machines Crawford, Daniel; Levit, Anna; Ghadermarzy, Navid Quantum Information and Computation, Vol. 18, Issue 1&2 https://doi.org/10.26421/QIC18.1-2-3	journal	February 2018
Traffic Flow Optimization Using a Quantum Annealer Neukart, Florian; Compostella, Gabriele; Seidel, Christian Frontiers in ICT, Vol. 4 https://doi.org/10.3389/fict.2017.00029	journal	December 2017
Classical signature of quantum annealing Smolin, John A.; Smith, Graeme Frontiers in Physics, Vol. 2 https://doi.org/10.3389/fphy.2014.00052	journal	September 2014
Training Restricted Boltzmann Machines With a D-Wave Quantum Annealer Dixit, Vivek; Selvarajan, Raja; Alam, Muhammad A. Frontiers in Physics, Vol. 9 https://doi.org/10.3389/fphy.2021.589626	journal	June 2021
Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments Capozzi, Francesco; Saviano, Ninetta Universe, Vol. 8, Issue 2 https://doi.org/10.3390/universe8020094	journal	February 2022
SU(2) lattice gauge theory on a quantum annealer 2021, CAP Congress 2021; A. Rahman, Sarmed; Lewis, Randy Underline Science Inc. https://doi.org/10.48448/x8ge-fd58	audiovisual	January 2021

Similar Records

Preparation of the SU(3) lattice Yang-Mills vacuum with variational quantum methods

Journal Article · Mon Apr 18 20:00:00 EDT 2022 · Physical Review. D. · OSTI ID:1980058

Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis

Journal Article · Mon May 03 20:00:00 EDT 2021 · Physical Review. D. · OSTI ID:1785553

Entangling the lattice clock: Towards Heisenberg-limited timekeeping

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:21408346

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states

Citation Formats

References (153)

Similar Records

Related Subjects