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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Ba˜ nuls et al.,Simulating Lattice Gauge Theories within Quantum Technologies , Eur
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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.
A new flavoured lattice Schwinger model preserves exact axial symmetry and realizes the chiral anomaly on the lattice for a single flavour via helical edge states in a topological insulator.
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.
Collider scattering processes such as electron-positron annihilation to muon pairs can be represented as quantum circuits with unitary and non-unitary components.
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.
The paper derives explicit finite-d break-even synthesis costs for qudit vs. qubit encodings of diagonal quadratic operators in product-formula and LCU simulations, identifying low-d regions where qudits yield savings.
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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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.
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Flavoured Lattice Schwinger Model with Chiral Anomaly
A new flavoured lattice Schwinger model preserves exact axial symmetry and realizes the chiral anomaly on the lattice for a single flavour via helical edge states in a topological insulator.
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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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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.
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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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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.
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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.
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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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Fault-Tolerant Resource Comparison of Qudit and Qubit Encodings for Diagonal Quadratic Operators
The paper derives explicit finite-d break-even synthesis costs for qudit vs. qubit encodings of diagonal quadratic operators in product-formula and LCU simulations, identifying low-d regions where qudits yield savings.