Quantum Simulation of SU(3) Lattice Yang-Mills Theory at Leading Order in Large-N_{c} Expansion.

Quantum simulations of the dynamics of QCD have been limited by the complexities of mapping the continuous gauge fields onto quantum computers. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we show how the Hilbert space and interactions can be expanded in inverse powers of N_{c}. At leading order in this expansion, the Hamiltonian simplifies dramatically, both in the required size of the Hilbert space as well as the type of interactions involved. Adding a truncation of the resulting Hilbert space in terms of local energy states we give explicit constructions that allow simple representations of SU(3) gauge fields on qubits and qutrits. This formulation allows a simulation of the real time dynamics of a SU(3) lattice gauge theory on a 5×5 and 8×8 lattice on ibm_torino with a CNOT depth of 113.

• Publication year

  2024

• Venue

  Physical Review Letters

• Publication date

  2024-02-15

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/physrevlett.133.111901arXiv 2402.10265PMID 39331962
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Quantum error mitigation for Fourier moment computation

  2024cited by this paper
• From square plaquettes to triamond lattices for SU(2) gauge theory

  2024cited by this paper
• Quantum simulations of hadron dynamics in the Schwinger model using 112 qubits

  2024cited by this paper
• Testing eigenstate thermalization hypothesis for non-Abelian gauge theories

  2023cited by this paper
• Strategies for simulating time evolution of Hamiltonian lattice field theories

  2023cited by this paper
• Logical quantum processor based on reconfigurable atom arrays

  2023cited by this paper
• Sachdev-Ye-Kitaev model on a noisy quantum computer

  2023cited by this paper
• Quantum simulations for strong-field QED

  2023cited by this paper
• Nearly optimal state preparation for quantum simulations of lattice gauge theories

  2023cited by this paper
• Integrable Spin Chains from large-$N$ QCD at strong coupling

  2023cited by this paper
• Scalable Circuits for Preparing Ground States on Digital Quantum Computers: The Schwinger Model Vacuum on 100 Qubits

  2023cited by this paper
• Hadrons in (1+1)D Hamiltonian hardcore lattice QCD

  2023cited by this paper
• Reconstructing thermal quantum quench dynamics from pure states

  2023cited by this paper
• A new basis for Hamiltonian SU(2) simulations

  2023cited by this paper
• Quantum simulation of lattice QCD with improved Hamiltonians

  2023cited by this paper
• Quantum Computing for High-Energy Physics: State of the Art and Challenges

  2023cited by this paper
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED.

  2023cited by this paper
• Observation of microscopic confinement dynamics by a tunable topological θ-angle

  2023cited by this paper
• q deformed formulation of Hamiltonian SU(3) Yang-Mills theory

  2023cited by this paper
• Spin Exchange-Enabled Quantum Simulator for Large-Scale Non-Abelian Gauge Theories

  2023cited by this paper
• Simulating Z_{2} lattice gauge theory on a quantum computer.

  2023cited by this paper
• Quantum and Classical Spin-Network Algorithms for q-Deformed Kogut-Susskind Gauge Theories.

  2023cited by this paper
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter

  2023cited by this paper
• SU(2) gauge theory in 2+1 dimensions on a plaquette chain obeys the eigenstate thermalization hypothesis

  2023cited by this paper
• Quantum Information Science and Technology for Nuclear Physics. Input into U.S. Long-Range Planning, 2023

  2023cited by this paper
• Phases of 2D massless QCD with qubit regularization

  2023cited by this paper
• Overcoming exponential scaling with system size in Trotter-Suzuki implementations of constrained Hamiltonians: 2+1 U(1) lattice gauge theories

  2022cited by this paper
• Observation of many-body scarring in a Bose-Hubbard quantum simulator

  2022cited by this paper
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory

  2022cited by this paper
• Real time evolution and a traveling excitation in SU(2) pure gauge theory on a quantum computer.

  2022cited by this paper
• Toward a quantum simulation of nonlinear sigma models with a topological term

  2022cited by this paper
• Quantum Computation of Dynamical Quantum Phase Transitions and Entanglement Tomography in a Lattice Gauge Theory

  2022cited by this paper
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time

  2022cited by this paper
• Qubitization strategies for bosonic field theories

  2022cited by this paper
• Real-time evolution of SU(3) hadrons on a quantum computer

  2022cited by this paper
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge

  2022cited by this paper
• High-efficiency microwave-optical quantum transduction based on a cavity electro-optic superconducting system with long coherence time

  2022cited by this paper
• Strategies for the determination of the running coupling of ( 2+1 )-dimensional QED with quantum computing

  2022cited by this paper
• Quantum Many-Body Scars: A Quasiparticle Perspective

  2022cited by this paper
• Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer

  2022cited by this paper
• Quantum Simulation for High-Energy Physics

  2022cited by this paper
• Hardware Efficient Quantum Simulation of Non-Abelian Gauge Theories with Qudits on Rydberg Platforms.

  2022cited by this paper
• Some Conceptual Aspects of Operator Design for Quantum Simulations of Non-Abelian Lattice Gauge Theories

  2022cited by this paper
• Basic elements for simulations of standard-model physics with quantum annealers: Multigrid and clock states

  2022cited by this paper
• Loop-string-hadron formulation of an SU(3) gauge theory with dynamical quarks

  2022cited by this paper
• Efficient quantum implementation of 2+1 U(1) lattice gauge theories with Gauss law constraints

  2022cited by this paper
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model

  2021cited by this paper
• Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods

  2021cited by this paper
• Probing topological spin liquids on a programmable quantum simulator

  2021cited by this paper
• Mitigating Depolarizing Noise on Quantum Computers with Noise-Estimation Circuits.

  2021cited by this paper
• SU(2) hadrons on a quantum computer via a variational approach

  2021cited by this paper
• Trailhead for quantum simulation of SU(3) Yang-Mills lattice gauge theory in the local multiplet basis

  2021influential reference
• Preparation of the SU(3) lattice Yang-Mills vacuum with variational quantum methods

  2021cited by this paper
• A quantum processor based on coherent transport of entangled atom arrays

  2021cited by this paper
• Toward quantum simulations of Z2 gauge theory without state preparation

  2021cited by this paper
• Efficient representation for simulating U(1) gauge theories on digital quantum computers at all values of the coupling

  2021cited by this paper
• Computationally efficient zero-noise extrapolation for quantum-gate-error mitigation

  2021cited by this paper
• Quantum many-body scars and Hilbert space fragmentation: a review of exact results

  2021cited by this paper
• Thermalization dynamics of a gauge theory on a quantum simulator

  2021cited by this paper
• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model

  2021cited by this paper
• Primitive quantum gates for dihedral gauge theories

  2021cited by this paper
• Simulating 2D Effects in Lattice Gauge Theories on a Quantum Computer

  2020cited by this paper
• Quantum Simulation of Field Theories Without State Preparation

  2020cited by this paper
• Many-body physics with individually controlled Rydberg atoms

  2020cited by this paper
• Quantum Algorithms for Simulating the Lattice Schwinger Model

  2020cited by this paper
• Gluon field digitization via group space decimation for quantum computers

  2020cited by this paper
• Superconducting quantum computing: a review

  2020cited by this paper
• Quantum computing with neutral atoms

  2020cited by this paper
• A resource efficient approach for quantum and classical simulations of gauge theories in particle physics

  2020cited by this paper
• Efficient 2D Tensor Network Simulation of Quantum Systems

  2020cited by this paper
• Observation of gauge invariance in a 71-site Bose–Hubbard quantum simulator

  2020cited by this paper
• Search for efficient formulations for Hamiltonian simulation of non-Abelian lattice gauge theories

  2020cited by this paper
• Shear Viscosity in QCD and Why It Is Hard to Calculate

  2020cited by this paper
• РЕШЕНИЕ СИСТЕМ ЛИНЕЙНЫХ УРАВНЕНИЙ НА КВАНТОВОМ ПРОЦЕССОРЕ IBM QUANTUM EXPERIENCE

  2020cited by this paper
• Thermalization of Yang-Mills theory in a ( 3+1 )-dimensional small lattice system

  2020cited by this paper
• Model-free readout-error mitigation for quantum expectation values

  2020cited by this paper
• Quantum phases of matter on a 256-atom programmable quantum simulator

  2020cited by this paper
• Zero-noise extrapolation for quantum-gate error mitigation with identity insertions

  2020cited by this paper
• Trapped-ion quantum computing: Progress and challenges

  2019cited by this paper
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers

  2019cited by this paper
• Loop, string, and hadron dynamics in SU(2) Hamiltonian lattice gauge theories

  2019cited by this paper
• Towards analog quantum simulations of lattice gauge theories with trapped ions

  2019cited by this paper
• General methods for digital quantum simulation of gauge theories

  2019cited by this paper
• Three-Dimensional Trapping of Individual Rydberg Atoms in Ponderomotive Bottle Beam Traps.

  2019cited by this paper
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays

  2019cited by this paper
• Minimally entangled state preparation of localized wave functions on quantum computers

  2019cited by this paper
• Lattice Gauge Theories and String Dynamics in Rydberg Atom Quantum Simulators

  2019cited by this paper
• Simulation of Nonequilibrium Dynamics on a Quantum Computer.

  2018cited by this paper
• Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars.

  2018cited by this paper
• Solving Gauss's law on digital quantum computers with loop-string-hadron digitization

  2018cited by this paper
• O(3) nonlinear sigma model in 1+1 dimensions with matrix product states

  2018cited by this paper
• Nonthermal States Arising from Confinement in One and Two Dimensions.

  2018cited by this paper
• Signatures of rare states and thermalization in a theory with confinement

  2018cited by this paper
• Efficient basis formulation for 1+1 dimensional SU(2) lattice gauge theory: Spectral calculations with matrix product states

  2017cited by this paper
• Real-time confinement following a quantum quench to a non-integrable model

  2016cited by this paper
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer

  2016cited by this paper
• Proton-Proton Fusion and Tritium β Decay from Lattice Quantum Chromodynamics.

  2016cited by this paper
• Ab initio Calculation of the np→dγ Radiative Capture Process.

  2015cited by this paper
• Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices

  2015cited by this paper
• Formulation of lattice gauge theories for quantum simulations

  2014cited by this paper

• Phases of the $q$-deformed $\mathrm{SU}(N)$ Yang-Mills theory at large $N$

  2026cites this paper
• Spin Chains from large-$N$ QCD at strong coupling

  2026cites this paper
• Simulating Lattice Gauge Theories with Virtual Rishons

  2026cites this paper
• Coherent Quantum Evaluation of Collider Amplitudes for Effective Field Theory Constraints

  2026cites this paper
• Finite-Temperature Dynamical Phase Diagram of the $2+1$D Quantum Ising Model

  2026cites this paper
• Towards $2+1$D quantum electrodynamics on a cold-atom quantum simulator

  2026cites this paper
• Quantum Simulation with Fluxonium Qutrit Arrays

  2026cites this paper
• String Breaking and Glueball Dynamics in $2+1$D Quantum Link Electrodynamics

  2026cites this paper
• Onset of thermalization of q-deformed SU(2) Yang-Mills theory on a trapped-ion quantum computer

  2026cites this paper
• Microscopic Dynamics of False Vacuum Decay in the $2+1$D Quantum Ising Model

  2026cites this paper
• Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers

  2025cites this paper
• Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice

  2025cites this paper
• Quantum computers tackle unexplored particle physics.

  2025cites this paper
• Pathfinding quantum simulations of neutrinoless double-β decay

  2025cites this paper
• Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations

  2025cites this paper
• Quantum simulation of QED in Coulomb gauge

  2025cites this paper
• String Breaking Dynamics and Glueball Formation in a $2+1$D Lattice Gauge Theory

  2025cites this paper
• Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics

  2025cites this paper
• Real-Time Dynamics in a (2+1)-D Gauge Theory: The Stringy Nature on a Superconducting Quantum Simulator

  2025cites this paper
• Universal framework with exponential speedup for the quantum simulation of quantum field theories including QCD

  2025cites this paper
• Truncation uncertainties for accurate quantum simulations of lattice gauge theories

  2025cites this paper
• Role of Plaquette Term in Genuine $2+1$D String Dynamics on Quantum Simulators

  2025cites this paper
• Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

  2025cites this paper
• Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory

  2025cites this paper
• Quantum Resources in Non-Abelian Lattice Gauge Theories: Nonstabilizerness, Multipartite Entanglement, and Fermionic Non-Gaussianity

  2025cites this paper
• Repulsively Bound Hadrons in a $\mathbb{Z}_2$ Lattice Gauge Theory

  2025cites this paper
• When the center matters: color screening and gluelumps in dihedral lattice gauge theories

  2025cites this paper
• A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D

  2025cites this paper
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory, II: Operator representation for the trivalent vertex

  2025cites this paper
• Asymptotic-freedom and massive glueballs in a qubit-regularized SU(2) gauge theory

  2025cites this paper
• Physicality oracle for SU(3) Loop-String-Hadron dynamics: a digital quantum circuit

  2025cites this paper
• Lie algebra-assisted quantum simulation and quantum optimal control via high-order Magnus expansions

  2025cites this paper
• Dissipation-Stabilized Quantum Revivals in a Non-Hermitian Lattice Gauge Theory

  2025cites this paper
• Jet evolution in a quantum computer: quark and gluon dynamics

  2025cites this paper
• Monomer-dimer tensor-network basis for qubit-regularized lattice gauge theories

  2025cites this paper
• False vacuum decay in triamond lattice gauge theory

  2025cites this paper
• Quantum circuits for SU(3) lattice gauge theory

  2025cites this paper
• Improved honeycomb and hyperhoneycomb lattice Hamiltonians for quantum simulations of non-Abelian gauge theories

  2025cites this paper
• Efficient Truncations of SU($N_c$) Lattice Gauge Theory for Quantum Simulation

  2025influential citation
• Efficient use of quantum computers for collider physics

  2025cites this paper
• Meet ‘qudits’: more complex cousins of qubits boost quantum computing

  2025cites this paper
• Quantum Simulations of Fundamental Physics

  2025cites this paper
• Bosonic vs. Fermionic Matter in Quantum Simulations of $2+1$D Gauge Theories

  2025cites this paper
• Exponential improvement in quantum simulations of bosons

  2025cites this paper
• Digital quantum simulations of scattering in quantum field theories using W states

  2025cites this paper
• Observation of hadron scattering in a lattice gauge theory on a quantum computer

  2025cites this paper
• Qu8its for quantum simulations of lattice quantum chromodynamics

  2024cites this paper
• Efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension

  2024cites this paper
• Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories

  2024cites this paper
• Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D

  2024cites this paper
• Scalable quantum simulations of scattering in scalar field theory on 120 qubits

  2024cites this paper
• A universal framework for the quantum simulation of Yang–Mills theory

  2024cites this paper
• Real-time scattering in Ising field theory using matrix product states

  2024cites this paper
• Quantum Simulation of Large N Lattice Gauge Theories

  2024cites this paper
• Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules

  2024cites this paper
• String breaking dynamics in Ising chain with local vibrations

  2024cites this paper
• Systematic input scheme of many-boson Hamiltonians with applications to the two-dimensional $\phi ^4$ theory

  2024cites this paper
• Block encodings of discrete subgroups on a quantum computer

  2024cites this paper
• Digitization and subduction of $SU(N)$ gauge theories

  2024cites this paper
• Primitive quantum gates for an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> discrete subgroup: <mml:math xmlns:mml="http://www.w3.or

  2024cites this paper
• Digital Quantum Simulation of a (1+1)D SU(2) Lattice Gauge Theory with Ion Qudits

  2024cites this paper
• The last Dance : Robust backdoor attack via diffusion models and bayesian approach

  2024cites this paper
• Surrogate Constructed Scalable Circuits ADAPT-VQE in the Schwinger model

  2024cites this paper
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: Hilbert space of a trivalent vertex

  2024cites this paper
• Real-space blocking of qubit variables on parallel lattice gauge theory links for quantum simulation

  2023cites this paper
• Suppressing nonperturbative gauge errors in the thermodynamic limit using local pseudogenerators

  2021cites this paper
• Shearing approach to gauge-invariant Trotterization

  2021cites this paper
• Systematic input scheme for many-boson Hamiltonians via quantum walk

  year unknowncites this paper