Quantum and Classical Spin-Network Algorithms for q -Deformed Kogut-Susskind Gauge Theories DOI
Torsten V. Zache, Daniel González-Cuadra, P. Zoller

et al.

Physical Review Letters, Journal Year: 2023, Volume and Issue: 131(17)

Published: Oct. 24, 2023

Treating the infinite-dimensional Hilbert space of non-Abelian gauge theories is an outstanding challenge for classical and quantum simulations. Here, we employ q-deformed Kogut-Susskind lattice theories, obtained by deforming defining symmetry algebra to a group. In contrast other formulations, this approach simultaneously provides controlled regularization local while preserving essential symmetry-related properties. This enables development both as well quantum-inspired spin-network algorithms theories. To be explicit, focus on SU(2)_{k} with k∈N that are deformation parameter q=e^{2πi/(k+2)}, root unity, converge standard SU(2) model k→∞. particular, demonstrate formulation suited efficient tensor network representations variational ground-state simulations in 2D, providing first evidence continuum limit can reached k=O(10). Finally, develop scalable algorithm Trotterized real-time evolution analytically diagonalizing plaquette interactions. Our work gives new perspective application methods high-energy physics paves way far from equilibrium where no currently available.

Language: Английский

The Variational Quantum Eigensolver: A review of methods and best practices DOI Creative Commons
Jules Tilly, Hongxiang Chen, Shuxiang Cao

et al.

Physics Reports, Journal Year: 2022, Volume and Issue: 986, P. 1 - 128

Published: Sept. 23, 2022

The variational quantum eigensolver (or VQE), first developed by Peruzzo et al. (2014), has received significant attention from the research community in recent years. It uses principle to compute ground state energy of a Hamiltonian, problem that is central chemistry and condensed matter physics. Conventional computing methods are constrained their accuracy due computational limits facing exact modeling exponentially growing electronic wavefunction for these many-electron systems. VQE may be used model complex wavefunctions polynomial time, making it one most promising near-term applications computing. One important advantage algorithms have been shown present some degree resilience noise hardware. Finding path navigate relevant literature rapidly become an overwhelming task, with many improve different parts algorithm, but without clear descriptions how diverse fit together. potential practical advantages algorithm also widely discussed literature, varying conclusions. Despite strong theoretical underpinnings suggesting excellent scaling individual components, studies pointed out various pre-factors could too large reach over conventional methods. This review aims at disentangling provide comprehensive overview progress made on discuss future areas fundamental deliver its promises. All components reviewed detail. These include representation Hamiltonians computer, optimization process find energies, post processing mitigation errors, suggested best practices. We identify four main research: (1) optimal measurement schemes reduction circuit repetitions required; (2) scale parallelization across computers; (3) ways overcome appearance vanishing gradients systems, number iterations required scales system size; (4) extent which suffers noise, whether this can mitigated tractable manner. answers open questions will determine routes achieve as hardware up levels reduced.

Language: Английский

Citations

608
Quantum simulation of fundamental particles and forces DOI
C. Bauer, Zohreh Davoudi, Natalie Klco

et al.

Nature Reviews Physics, Journal Year: 2023, Volume and Issue: 5(7), P. 420 - 432

Published: June 21, 2023

Language: Английский

Citations

72
Scalable Circuits for Preparing Ground States on Digital Quantum Computers: The Schwinger Model Vacuum on 100 Qubits DOI Creative Commons
Roland C. Farrell, Marc Illa, Anthony N. Ciavarella

et al.

PRX Quantum, Journal Year: 2024, Volume and Issue: 5(2)

Published: April 18, 2024

The vacuum of the lattice Schwinger model is prepared on up to 100 qubits IBM’s Eagle-processor quantum computers. A new algorithm prepare ground state a gapped translationally invariant system computer presented, which we call “scalable circuits ADAPT-VQE” (SC-ADAPT-VQE). This uses exponential decay correlations between distant regions state, together with ADAPT-VQE, construct for preparation that can be scaled arbitrarily large systems. These scalable determined use classical computers, avoiding challenging task optimizing parameterized computer. SC-ADAPT-VQE applied model, and shown systematically improvable, an accuracy converges exponentially circuit depth. Both structure deviations wave functions are found become independent number spatial sites, L. allows controlled extrapolation circuits, small or modest-sized systems, L. lattices L=14 (28 qubits) Qiskit simulator, subsequently L=50 (100 127-superconducting-qubit computers ibm_brisbane ibm_cusco. After introduction improved error-mitigation technique, “operator decoherence renormalization”, chiral condensate charge-charge correlators obtained from in good agreement matrix product simulations. Published by American Physical Society 2024

Language: Английский

Citations

61
Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits DOI
Roland C. Farrell, Marc Illa, Anthony N. Ciavarella

et al.

Physical review. D/Physical review. D., Journal Year: 2024, Volume and Issue: 109(11)

Published: June 10, 2024

Hadron wave packets are prepared and time evolved in the Schwinger model using 112 qubits of IBM's 133-qubit Heron quantum computer ibm_torino. The initialization hadron packet is performed two steps. First, vacuum across whole lattice recently developed SC-ADAPT-VQE algorithm workflow. then extended to preparation localized states, used establish a on top vacuum. This done by adaptively constructing low-depth circuits that maximize overlap with an adiabatically packet. Due nature wavepacket, these can be determined sequence small lattices classical computers, robustly scaled prepare large for simulations computers. Time evolution implemented second-order Trotterization. To reduce both required qubit connectivity circuit depth, approximate quasilocal interaction introduced. approximation made possible emergence confinement at long distances, converges exponentially increasing distance interactions. Using multiple error-mitigation strategies, up 14 Trotter steps performed, employing 13,858 two-qubit gates (with CNOT depth 370). propagation hadrons clearly identified, results compare favorably Matrix Product State simulations. Prospects near-term advantage scattering discussed.

Language: Английский

Citations

51
Quantum Computing for High-Energy Physics: State of the Art and Challenges DOI Creative Commons
Alberto Di Meglio, Karl Jansen, Ivano Tavernelli

et al.

PRX Quantum, Journal Year: 2024, Volume and Issue: 5(3)

Published: Aug. 5, 2024

Quantum computers offer an intriguing path for a paradigmatic change of computing in the natural sciences and beyond, with potential achieving so-called quantum advantage—namely, significant (in some cases exponential) speedup numerical simulations. The rapid development hardware devices various realizations qubits enables execution small-scale but representative applications on computers. In particular, high-energy physics community plays pivotal role accessing power computing, since field is driving source challenging computational problems. This concerns, theoretical side, exploration models that are very hard or even impossible to address classical techniques and, experimental enormous data challenge newly emerging experiments, such as upgrade Large Hadron Collider. this Roadmap paper, led by CERN, DESY, IBM, we provide status computations give examples target benchmark applications, which can be addressed near future. Having mind about 100 capable executing several thousand two-qubit gates, where possible, also resource estimates given using error-mitigated computing. ultimate declared goal task force therefore trigger further research develop interesting use demonstrations near-term Published American Physical Society 2024

Language: Английский

Citations

51
High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED DOI
Ron Belyansky,

Seth Whitsitt,

Niklas Mueller

et al.

Physical Review Letters, Journal Year: 2024, Volume and Issue: 132(9)

Published: Feb. 28, 2024

With the aim of studying nonperturbative out-of-equilibrium dynamics high-energy particle collisions on quantum simulators, we investigate scattering lattice electrodynamics in $1+1$ dimensions. Working bosonized formulation model and thermodynamic limit, use uniform-matrix-product-state tensor networks to construct multiparticle wave-packet states, evolve them time, detect outgoing particles post collision. This facilitates numerical simulation experiments both confined deconfined regimes at different energies, giving rise rich phenomenology, including inelastic production quark meson disintegration, dynamical string formation breaking. We obtain elastic cross sections, together with time-resolved momentum position distributions particles. Furthermore, propose an analog circuit-QED implementation process that is native platform, requires minimal ingredients approximations, enables practical schemes for preparation evolution. study highlights role classical enhancing our understanding processes field theories real time.

Language: Английский

Citations

26
Simulating Z2 lattice gauge theory on a quantum computer DOI
Clement Charles, Erik Gustafson,

Elizabeth Hardt

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 109(1)

Published: Jan. 26, 2024

The utility of quantum computers for simulating lattice gauge theories is currently limited by the noisiness physical hardware. Various error mitigation strategies exist to reduce statistical and systematic uncertainties in simulations via improved algorithms analysis strategies. We perform ${\mathbb{Z}}_{2}$ theory with matter study efficacy interplay different methods: readout mitigation, randomized compiling, rescaling, dynamical decoupling. compute Minkowski correlation functions this confining extract mass lightest spin-1 state from fits their time dependence. Quantum extends range times over which our function calculations are accurate a factor 6 therefore essential obtaining reliable masses.

Language: Английский

Citations

24
Quantum entanglement and Bell inequality violation at colliders DOI Creative Commons
A. J. Barr, M. Fabbrichesi, Roberto Floreanini

et al.

Progress in Particle and Nuclear Physics, Journal Year: 2024, Volume and Issue: 139, P. 104134 - 104134

Published: July 19, 2024

The study of entanglement in particle physics has been gathering pace the past few years. It is a new field that providing important results about possibility detecting and testing Bell inequality at colliders for final states as diverse top-quark, τ-lepton pairs Λ-baryons, massive gauge bosons vector mesons. In this review, after presenting definitions, tools basic are necessary understanding these developments, we summarize main findings—as published by beginning year 2024—including analyses experimental data B meson decays top-quark pair production. We include detailed discussion both qubit qutrits systems, is, containing spin one-half one particles. Entanglement also proposed tool to constrain particles fields beyond Standard Model introduce reader promising feature well.

Language: Английский

Citations

20
New basis for Hamiltonian SU(2) simulations DOI Creative Commons

Irian D’Andrea,

C. Bauer, Dorota M. Grabowska

et al.

Physical review. D/Physical review. D., Journal Year: 2024, Volume and Issue: 109(7)

Published: April 2, 2024

Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence attention. This computational tool requires turning the formally infinite-dimensional Hilbert space full theory into finite-dimensional one. For gauge theories, widely used basis for relies on representations induced by underlying group, with truncation that keeps only set lowest dimensional representations. works well at large bare coupling, but becomes less efficient small which is required continuum limit theory. In this work, we develop new suitable simulation an SU(2) in maximal tree gauge. particular, show how perform so eigenvalues both magnetic and electric gauge-fixed are mostly preserved, allows be all values coupling. Little prior knowledge assumed, may also as introduction subject formulations theories. Published American Physical Society 2024

Language: Английский

Citations

19
Cold-atom quantum simulators of gauge theories DOI
Jad C. Halimeh, Monika Aidelsburger, Fabian Grusdt

et al.

Nature Physics, Journal Year: 2025, Volume and Issue: 21(1), P. 25 - 36

Published: Jan. 1, 2025

Language: Английский

Citations

8