Towards Quantum Simulating QCD

Abstract

Quantum link models provide an alternative non-perturbative formulation of Abelian and non-Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example, using ultracold atoms in an optical lattice. This holds the promise to address currently unsolvable problems, such as the real-time and high-density dynamics of strongly interacting matter, first in toy-model gauge theories, and ultimately in QCD.

8 pages, 4 figures, plenary talk at Quark Matter 2014, submitted as a proceedings contribution to Nuclear Physics A

References in corpus (38)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• A Rydberg Quantum Simulator
• Quantum annealing with more than one hundred qubits
• Quantum Algorithms for Quantum Field Theories
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• Meron-Cluster Solution of Fermion Sign Problems
• Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
• Suppression of the critical temperature for superfluidity near the Mott transition: validating a quantum simulator
• QCD as a Quantum Link Model
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Optical Abelian Lattice Gauge Theories
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Cold atom simulation of interacting relativistic quantum field theories
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• Hawking Radiation from an Acoustic Black Hole on an Ion Ring
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Detection of vacuum entanglement in a linear ion trap
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• The fermion bag approach to lattice field theories
• Solution to sign problems in half-filled spin-polarized electronic systems
• Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
• Solution of the Complex Action Problem in the Potts Model for Dense QCD
• D-Theory: Field Quantization by Dimensional Reduction of Discrete Variables
• Fermion bags, duality and the three dimensional massless lattice Thirring model
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice

Cited by in corpus (84)

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• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Lattice gauge theories simulations in the quantum information era
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• Digitization of Scalar Fields for Quantum Computing
• Digital Quantum Simulation of Minimal AdS/CFT
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Digital lattice gauge theories
• Quantum Algorithms for Simulating the Lattice Schwinger Model
• Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
• Towards analog quantum simulations of lattice gauge theories with trapped ions
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Non-Abelian string breaking phenomena with Matrix Product States
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
• Gauss's Law, Duality, and the Hamiltonian Formulation of U(1) Lattice Gauge Theory
• Hamiltonian simulation of the Schwinger model at finite temperature
• Oracles for Gauss's law on digital quantum computers
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
• Real-time chiral dynamics from a digital quantum simulation
• Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Building Projected Entangled Pair States with a Local Gauge Symmetry
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
• Primitive Quantum Gates for Dihedral Gauge Theories
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• Improved Hamiltonians for Quantum Simulations
• From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
• Quantum simulation of quantum field theories as quantum chemistry
• SO(3) "Nuclear Physics" with ultracold Gases
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Quantum Simulation of Light-Front Parton Correlators
• Lattice Renormalization of Quantum Simulations
• The spectrum of qubitized QCD: glueballs in a $S(1080)$ gauge theory
• Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing
• Quantum Simulation of Chiral Phase Transitions
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model
• How many quantum gates do gauge theories require?
• Loops and Strings in a Superconducting Lattice Gauge Simulator
• Real-time dynamics of Chern-Simons fluctuations near a critical point
• Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination
• Neutrino Oscillations in a Quantum Processor
• Quench dynamics of the Schwinger model via variational quantum algorithms
• Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Gauge Theory Couplings on Anisotropic Lattices
• Hidden order and symmetry protected topological states in quantum link ladders
• Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
• Gluon Digitization via Character Expansion for Quantum Computers
• Detecting the critical point through entanglement in Schwinger model
• Protecting local and global symmetries in simulating 1+1-D non-abelian gauge theories
• Sublattice scars and beyond in two-dimensional $U(1)$ quantum link lattice gauge theories
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation
• Robustness of quantum correlation in quantum energy teleportation
• Interference dynamics of matter-waves of SU($N$) fermions
• Quantum mean estimation for lattice field theory
• Quantum Simulation of non-Abelian Lattice Gauge Theories: a variational approach to ${\mathbb{D}}_8$
• Approximately-symmetric neural networks for quantum spin liquids
• Topological phase and lattice structures in spin chain models
• 3+1 Dimension Schwinger Pair Production with Quantum Computers
• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
• Negative string tension of higher-charge Schwinger model via digital quantum simulation
• Persistent Current of SU(N) Fermions
• String breaking dynamics in Ising chain with local vibrations
• Lattice Gauge Theory for a Quantum Computer
• Density-and-phase domain walls in a condensate with dynamical gauge potentials
• Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
• Digital Quantum Simulation of Hadronization in Yang-Mills Theory
• Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors
• Shearing approach to gauge-invariant Trotterization
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Superselection-Resolved Entanglement in Lattice Gauge Theories: A Tensor Network Approach
• Roundtable: What can we learn about confinement and anomalous effects in QCD using analog systems?