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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First tensor-network simulation of real-time hadronic scattering in (1+1)D SU(2) lattice gauge theory reveals entanglement and spatial delocalization in the baryon-number-one sector at strong coupling.
Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.
A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
A lattice discretization of constant modes in 2+1D Maxwell-Chern-Simons theory on a torus maps to a generalized Harper-Hofstadter model, reproducing continuum topological degeneracy under specific commensurability conditions with truncation convergence analyzed.
Quantum algorithm for GPDs in Schwinger model using Wilson fermions, with polynomial resource scaling and exact-diagonalization benchmarks matching theory.
Introduces and tests a finite-volume scheme enabling stable continuum extrapolation of the step-scaling function in (2+1)D Hamiltonian U(1) gauge theory via matrix product states.
Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.
Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plus equivalent Hilbert space scaling with factor 0.2563(5).
Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
Diagonalizing field operators before Pauli-string decomposition exponentially cuts circuit depth and Trotter errors in 2+1D scalar QFT simulations, with faster local-truncation convergence for Lorentzian energy-energy correlators than the Jordan-Lee-Preskill amplitude-basis method.
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.
New simplified Hamiltonians, compact qubit encoding for SU(2), and an added Hamiltonian term reduce quantum resources while still reaching the Kogut-Susskind limit in (2+1)D SU(2) lattice gauge theory.
A TRG-based spectroscopy scheme identifies multi-particle states in the 1+1d Ising model and extracts consistent two-particle scattering phase shifts via Lüscher's formula.
Quantum simulation on IBM Nighthawk extracts attractive kink-antikink potential in large-N QCD2 mapped to XXZ chain, agreeing with exact diagonalization benchmarks.
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.
-
Hadronic scattering in (1+1)D SU(2) lattice gauge theory from tensor networks
First tensor-network simulation of real-time hadronic scattering in (1+1)D SU(2) lattice gauge theory reveals entanglement and spatial delocalization in the baryon-number-one sector at strong coupling.
-
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.
-
Infinite matrix product states for $(1+1)$-dimensional gauge theories
A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.
-
Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation
A lattice discretization of constant modes in 2+1D Maxwell-Chern-Simons theory on a torus maps to a generalized Harper-Hofstadter model, reproducing continuum topological degeneracy under specific commensurability conditions with truncation convergence analyzed.
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Quantum Simulation of Generalized Parton Distributions in the Schwinger Model
Quantum algorithm for GPDs in Schwinger model using Wilson fermions, with polynomial resource scaling and exact-diagonalization benchmarks matching theory.
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A Finite-Volume Scheme for the Continuum Extrapolation of Lattice Step-Scaling in (2+1)D Hamiltonian U(1) Gauge Theory
Introduces and tests a finite-volume scheme enabling stable continuum extrapolation of the step-scaling function in (2+1)D Hamiltonian U(1) gauge theory via matrix product states.
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String dynamics of a (2+1)D U(1) quantum link model on a digital quantum computer
Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.
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Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory
Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plus equivalent Hilbert space scaling with factor 0.2563(5).
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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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Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
For diagonal quadratic evolutions, qubit encodings are asymptotically cheaper than qudit encodings in both Trotter and LCU settings, but small-dimension qudits can win under favorable synthesis or code-switching assumptions.
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Exponentially improved quantum simulation of scalar QFT
Diagonalizing field operators before Pauli-string decomposition exponentially cuts circuit depth and Trotter errors in 2+1D scalar QFT simulations, with faster local-truncation convergence for Lorentzian energy-energy correlators than the Jordan-Lee-Preskill amplitude-basis method.
-
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.
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Toward Quantum Simulation of SU(2) Gauge Theory using Non-Compact Variables
New simplified Hamiltonians, compact qubit encoding for SU(2), and an added Hamiltonian term reduce quantum resources while still reaching the Kogut-Susskind limit in (2+1)D SU(2) lattice gauge theory.
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Multi-particle states investigation with tensor renormalization group method
A TRG-based spectroscopy scheme identifies multi-particle states in the 1+1d Ising model and extracts consistent two-particle scattering phase shifts via Lüscher's formula.
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Quantum Simulation of Nucleon-Antinucleon Interaction in Large-$N$ QCD$_2$ on an IBM Quantum Nighthawk Processor
Quantum simulation on IBM Nighthawk extracts attractive kink-antikink potential in large-N QCD2 mapped to XXZ chain, agreeing with exact diagonalization benchmarks.
- Flavoured Lattice Schwinger Model with Chiral Anomaly