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Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
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Quantum computers offer the possibility to implement lattice gauge theory in Minkowski rather than Euclidean spacetime, thus allowing calculations of processes that evolve in real time. In this work, calculations within SU(2) pure gauge theory are able to show the motion of an excitation traveling across a spatial lattice in real time. This is accomplished by using a simple yet powerful method for error mitigation, where the original circuit is used both forward and backward in time. For a two-plaquette lattice, meaningful results are obtained from a circuit containing hundreds of CNOT gates. The same method is used for a five-plaquette lattice, where calculations show that residual systematic effects can be reduced through follow-up mitigation.
Forward citations
Cited by 15 Pith papers
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Unified resonant-manifold framework for dynamical quantum phase transitions
A resonant-manifold framework unifies manifold and branch DQPTs by attributing them to resonances within the initial manifold and with a transitional manifold connected by low-order processes, shown in Z2 LGT quenches.
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Observation of genuine $2+1$D string dynamics in a U$(1)$ lattice gauge theory with a tunable plaquette term on a trapped-ion quantum computer
Quantum simulation on trapped ions shows that a plaquette term in a 2+1D U(1) gauge theory enables string propagation in the plane and extended matter creation, realizing genuine two-dimensional dynamics.
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Observation of glueball excitations and string breaking in a $2+1$D $\mathbb{Z}_2$ lattice gauge theory on a trapped-ion quantum computer
A trapped-ion quantum computer simulates 2+1D Z2 lattice gauge theory dynamics, revealing glueball excitations and multi-order string breaking.
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.
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Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
A (1+1)D SU(2) lattice gauge theory with dynamical matter exhibits ergodic, fragmented, and disorder-free many-body localized phases under non-Abelian gauge constraints, with the localized regime preserving spatial in...
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Realizing Error Suppression in Partially Fault-Tolerant Quantum Simulations with IBM Quantum Computers
Partially fault-tolerant [[4,2,2]] Iceberg-code simulations on ibm_boston improve local Ising observables over unencoded baselines by a few percent in 1D and over 200% in 2D at late times via Observable-Ranked Postselection.
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Multi-Qubit Dyadic Phase Fixing for Fault-Tolerant Quantum Compilation
Dyadic Phase Fixing reduces T-count by up to 70% versus gridsynth in quantum circuit compilation for fault-tolerant computing via numerical synthesis and automatic phase register sizing.
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Preparing thermal states of frustrated quantum spin systems using 139 qubits
Dissipative preparation of thermal states for kagome antiferromagnets demonstrated on IBM hardware up to 79 spins, with simulations showing scalable circuit depths.
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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 C...
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Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.
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Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions
A multi-part truncation for lattice QCD with fermions enables explicit Hamiltonians in 1+1D and 2+1D and string-breaking simulations by capping basis states, electric energy, fermions per site, and using large-Nc matr...
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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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Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories
Gauss's law constraints in jmax=1/2 SU(2) lattice gauge theory are converted into stabilizer codes that correct single-qubit errors using about 9N or 12N physical qubits per N plaquettes.
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Preparing thermal states of frustrated quantum spin systems using 139 qubits
Dissipative protocols on quantum hardware prepare approximate thermal states for kagome AFIM up to 79 sites and AFHM via simulation, with circuit depth independent of size and linear in inverse temperature.
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Unified resonant-manifold framework for dynamical quantum phase transitions
A resonant-manifold framework unifies manifold and branch DQPTs by linking them to resonances within the initial manifold or a transitional manifold, with regularity tied to manifold multiplicity, shown in Z2 LGT quenches.
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