Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
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Quantum-classical computation of Schwinger model dynamics using quantum computers
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abstract
We present a quantum-classical algorithm to study the dynamics of the two-spatial-site Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge, and parity, the number of qubits needed to perform computation is reduced by a factor of $\sim 5$, removing exponentially-large unphysical sectors from the Hilbert space. Our work opens an avenue for exploration of other lattice quantum field theories, such as quantum chromodynamics, where classical computation is used to find symmetry sectors in which the quantum computer evaluates the dynamics of quantum fluctuations.
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Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
Quantum complexity measures applied to the Schwinger model reveal nonlocal correlations along the string and show that entanglement and magic give complementary views of string formation and breaking.
A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.
Curvature in AdS2 generates effective fields causing asymmetric chiral fermion propagation confined in Lieb-Robinson cones, with entanglement entropy growing then saturating and peaking in dipole collisions.
Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.
A minimal implementation of SU(N) pure Yang-Mills theory on digital quantum computers is presented with simplified Hamiltonians, improved infinite-mass convergence, and SU(2) embedding into R^4, benchmarked by Monte Carlo simulations.
citing papers explorer
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Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
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Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
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The Quantum Complexity of String Breaking in the Schwinger Model
Quantum complexity measures applied to the Schwinger model reveal nonlocal correlations along the string and show that entanglement and magic give complementary views of string formation and breaking.
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A Framework for Quantum Simulations of Energy-Loss and Hadronization in Non-Abelian Gauge Theories: SU(2) Lattice Gauge Theory in 1+1D
A quantum simulation framework is developed and demonstrated for energy loss and hadronization of a heavy quark in 1+1D SU(2) lattice gauge theory on 18 qubits of IBM hardware, with results matching classical simulations.
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Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background
Curvature in AdS2 generates effective fields causing asymmetric chiral fermion propagation confined in Lieb-Robinson cones, with entanglement entropy growing then saturating and peaking in dipole collisions.
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A collider as a quantum computer
Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.
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A minimal implementation of Yang-Mills theory on a digital quantum computer
A minimal implementation of SU(N) pure Yang-Mills theory on digital quantum computers is presented with simplified Hamiltonians, improved infinite-mass convergence, and SU(2) embedding into R^4, benchmarked by Monte Carlo simulations.