Prospects for simulating a qudit-based model of (1+1)D scalar QED

Gustafson, Erik J.

doi:10.1103/physrevd.103.114505

Title: Prospects for simulating a qudit-based model of (1+1)D scalar QED

Journal Article · Thu Jun 10 00:00:00 EDT 2021 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.103.114505· OSTI ID:1787547

^[1]

Univ. of Iowa, Iowa City, IA (United States)

We present a gauge invariant digitization of (1+1)d scalar quantum electrodynamics for an arbitrary spin truncation for qudit-based quantum computers. We provide a construction of the Trotter operator in terms of a universal qudit-gate set. Here, the cost savings of using a qutrit based spin-1 encoding versus a qubit encoding are illustrated. We show that a simple initial state could be simulated on current qutrit based hardware using noisy simulations for two different native gate set.

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Research Organization:: Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0019139

OSTI ID:: 1787547

Journal Information:: Physical Review. D., Vol. 103, Issue 11; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (68)

Efficient Toffoli gates using qudits Ralph, T. C.; Resch, K. J.; Gilchrist, A. Physical Review A, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevA.75.022313	journal	February 2007
D-theory: field theory via dimensional reduction of discrete variables Beard, B. B.; Brower, R. C.; Chandrasekharan, S. Nuclear Physics B - Proceedings Supplements, Vol. 63, Issue 1-3 https://doi.org/10.1016/S0920-5632(97)00900-6	journal	April 1998
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
Real-time dynamics of string breaking in quantum spin chains Verdel, Roberto; Liu, Fangli; Whitsitt, Seth Physical Review B, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevB.102.014308	journal	July 2020
Tensor network formulation of the massless Schwinger model with staggered fermions Butt, Nouman; Catterall, Simon; Meurice, Yannick Physical Review D, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevD.101.094509	journal	May 2020
Matrix Product States for Gauge Field Theories Buyens, Boye; Haegeman, Jutho; Van Acoleyen, Karel Physical Review Letters, Vol. 113, Issue 9 https://doi.org/10.1103/PhysRevLett.113.091601	journal	August 2014
Monte Carlo Study of Real Time Dynamics on the Lattice Alexandru, Andrei; Başar, Gökçe; Bedaque, Paulo F. Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/PhysRevLett.117.081602	journal	August 2016
Realization of a Quantum Integer-Spin Chain with Controllable Interactions Senko, C.; Richerme, P.; Smith, J. Physical Review X, Vol. 5, Issue 2 https://doi.org/10.1103/PhysRevX.5.021026	journal	June 2015
Digital Quantum Simulation of Spin Models with Circuit Quantum Electrodynamics Salathé, Y.; Mondal, M.; Oppliger, M. Physical Review X, Vol. 5, Issue 2 https://doi.org/10.1103/PhysRevX.5.021027	journal	June 2015
Asymptotic improvements to quantum circuits via qutrits Gokhale, Pranav; Baker, Jonathan M.; Duckering, Casey ISCA '19: The 46th Annual International Symposium on Computer Architecture, Proceedings of the 46th International Symposium on Computer Architecture https://doi.org/10.1145/3307650.3322253	conference	June 2019
Real-Time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks Pichler, T.; Dalmonte, M.; Rico, E. Physical Review X, Vol. 6, Issue 1 https://doi.org/10.1103/PhysRevX.6.011023	journal	March 2016
Quantum Computation and Quantum Information Nielsen, Michael A.; Chuang, Isaac L. Cambridge University Press https://doi.org/10.1017/CBO9780511976667	book	January 2011
D-theory: field quantization by dimensional reduction of discrete variables Brower, R.; Chandrasekharan, S.; Riederer, S. Nuclear Physics B, Vol. 693, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2004.06.007	journal	August 2004
Implementation of a Walsh-Hadamard Gate in a Superconducting Qutrit Yurtalan, M. A.; Shi, J.; Kononenko, M. Physical Review Letters, Vol. 125, Issue 18 https://doi.org/10.1103/PhysRevLett.125.180504	journal	October 2020
Synthesis of multivalued quantum logic circuits by elementary gates Di, Yao-Min; Wei, Hai-Rui Physical Review A, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevA.87.012325	journal	January 2013
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
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator Zhang, J.; Pagano, G.; Hess, P. W. Nature, Vol. 551, Issue 7682 https://doi.org/10.1038/nature24654	journal	November 2017
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
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
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 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
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
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain Nature, Vol. 534, Issue 7609 https://doi.org/10.1038/nature18274	journal	June 2016
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
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
Computational speed-up with a single qudit Gedik, Z.; Silva, I. A.; Çakmak, B. Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep14671	journal	October 2015
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
Digitized adiabatic quantum computing with a superconducting circuit Barends, R.; Shabani, A.; Lamata, L. Nature, Vol. 534, Issue 7606 https://doi.org/10.1038/nature17658	journal	June 2016
Probing many-body dynamics on a 51-atom quantum simulator Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander Nature, Vol. 551, Issue 7682 https://doi.org/10.1038/nature24622	journal	November 2017
Protecting operations on qudits from noise by continuous dynamical decoupling Napolitano, Reginaldo de Jesus; Fanchini, Felipe Fernandes; da Silva, Adonai Hilario Physical Review Research, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevResearch.3.013235	journal	March 2021
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
Dynamical Engineering of Interactions in Qudit Ensembles Choi, Soonwon; Yao, Norman Y.; Lukin, Mikhail D. Physical Review Letters, Vol. 119, Issue 18 https://doi.org/10.1103/PhysRevLett.119.183603	journal	November 2017
Quantum Control in Qutrit Systems Using Hybrid Rabi-STIRAP Pulses Vepsäläinen, Antti; Danilin, Sergey; Paladino, Elisabetta Photonics, Vol. 3, Issue 4 https://doi.org/10.3390/photonics3040062	journal	November 2016
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
Quantum Teleportation in High Dimensions Luo, Yi-Han; Zhong, Han-Sen; Erhard, Manuel Physical Review Letters, Vol. 123, Issue 7 https://doi.org/10.1103/PhysRevLett.123.070505	journal	August 2019
Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit Zhang, Zhenxing; Zhao, P. Z.; Wang, Tenghui New Journal of Physics, Vol. 21, Issue 7 https://doi.org/10.1088/1367-2630/ab2e26	journal	July 2019
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
Experimental non-classicality of an indivisible quantum system Lapkiewicz, Radek; Li, Peizhe; Schaeff, Christoph Nature, Vol. 474, Issue 7352 https://doi.org/10.1038/nature10119	journal	June 2011
Duality in field theory and statistical systems Savit, Robert Reviews of Modern Physics, Vol. 52, Issue 2 https://doi.org/10.1103/RevModPhys.52.453	journal	April 1980
Generalized Euler angle parametrization for SU ( N ) Tilma, Todd; Sudarshan, E. C. G. Journal of Physics A: Mathematical and General, Vol. 35, Issue 48 https://doi.org/10.1088/0305-4470/35/48/316	journal	November 2002
Optimal quantum circuits for general two-qubit gates Vatan, Farrokh; Williams, Colin Physical Review A, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevA.69.032315	journal	March 2004
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
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
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
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
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
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
Real-time-dynamics quantum simulation of $(1 + 1) -dimensional$ lattice QED with Rydberg atoms Notarnicola, Simone; Collura, Mario; Montangero, Simone Physical Review Research, Vol. 2, Issue 1 https://doi.org/10.1103/PhysRevResearch.2.013288	journal	March 2020
Discrete aspects of continuous symmetries in the tensorial formulation of Abelian gauge theories Meurice, Yannick Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014506	journal	July 2020
Efficient Multiphoton Sampling of Molecular Vibronic Spectra on a Superconducting Bosonic Processor Wang, Christopher S.; Curtis, Jacob C.; Lester, Brian J. Physical Review X, Vol. 10, Issue 2 https://doi.org/10.1103/PhysRevX.10.021060	journal	June 2020
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
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
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
Universal Quantum Simulators Lloyd, S. Science, Vol. 273, Issue 5278 https://doi.org/10.1126/science.273.5278.1073	journal	August 1996
Manipulating Biphotonic Qutrits Lanyon, B. P.; Weinhold, T. J.; Langford, N. K. Physical Review Letters, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevLett.100.060504	journal	February 2008
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
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
Real-time dynamics in $2 + 1D$ compact QED using complex periodic Gaussian states Bender, Julian; Emonts, Patrick; Zohar, Erez Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevResearch.2.043145	journal	October 2020
Exact Ising model simulation on a quantum computer Cervera-Lierta, Alba Quantum, Vol. 2 https://doi.org/10.22331/q-2018-12-21-114	journal	December 2018
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
Control and Tomography of a Three Level Superconducting Artificial Atom Bianchetti, R.; Filipp, S.; Baur, M. Physical Review Letters, Vol. 105, Issue 22 https://doi.org/10.1103/PhysRevLett.105.223601	journal	November 2010
Propagation of generalized Pauli errors in qudit Clifford circuits Miller, Daniel; Holz, Timo; Kampermann, Hermann Physical Review A, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevA.98.052316	journal	November 2018
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets Kandala, Abhinav; Mezzacapo, Antonio; Temme, Kristan Nature, Vol. 549, Issue 7671 https://doi.org/10.1038/nature23879	journal	September 2017
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
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
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
Quantum link models: A discrete approach to gauge theories Chandrasekharan, S.; Wiese, U. -J Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80041-7	journal	May 1997
Error mitigation extends the computational reach of a noisy quantum processor Kandala, Abhinav; Temme, Kristan; Córcoles, Antonio D. Nature, Vol. 567, Issue 7749 https://doi.org/10.1038/s41586-019-1040-7	journal	March 2019

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