Toward QCD on Quantum Computer: Orbifold Lattice Approach

Abstract

We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in the coordinate basis. We show that SU(3) gauge group variables and quarks in the fundamental representation can be implemented straightforwardly on qubits, for arbitrary truncation of the gauge manifold.

24 pages. v2: Some types were fixed. v3: to appear in JHEP. v4: one footnote was added, grant information was updated. v5. eq.(12) was corrected

References in corpus (26)

• Comments on the Sachdev-Ye-Kitaev model
• Quantum Algorithms for Quantum Field Theories
• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Quantum Simulation for High Energy Physics
• Lattice gauge theories simulations in the quantum information era
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Digitization of Scalar Fields for Quantum Computing
• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• Quantum Simulating Nature's Fundamental Fields
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Phase Gadget Synthesis for Shallow Circuits
• Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Qubit regularization of asymptotic freedom
• Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo
• Primitive Quantum Gates for Dihedral Gauge Theories
• Quantum simulation of gauge theory via orbifold lattice
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• Toward simulating Superstring/M-theory on a quantum computer
• Color Confinement and Bose-Einstein Condensation
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Optimal, hardware native decomposition of parameterized multi-qubit Pauli gates
• Estimating truncation effects of quantum bosonic systems using sampling algorithms

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• Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$
• Field digitization scaling in a ${\mathbb{Z}}_N\subset U(1)$ symmetric model
• Quantum Simulation of QED in Coulomb Gauge
• Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density
• Jet evolution in a quantum computer: quark and gluon dynamics