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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 9 Pith papers
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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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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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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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Probing Hadron Scattering in Lattice Gauge Theories on Qudit Quantum Computers
Proposed qudit circuits simulate meson-antimeson scattering in a spin-1 U(1) lattice gauge theory and remain accurate under realistic dephasing and depolarization noise.
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Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics
A matter-integrated-out reformulation of 2+1D U(1) quantum link electrodynamics is translated into explicit qudit circuits, with Trotterized simulations matching exact dynamics on small lattices.
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String Breaking Dynamics and Glueball Formation in a $2+1$D Lattice Gauge Theory
In a 2+1D Z2 lattice gauge theory, string breaking happens only at specific resonances set by field strength and matter mass, while long strings can dynamically form closed electric loops analogous to glueballs.
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Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
The Kogut-Susskind Hamiltonian is recovered from the orbifold lattice Hamiltonian in the infinite scalar mass limit, with numerical confirmation for SU(2) and SU(3) Yang-Mills theory in 2+1 dimensions.
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Quantum computation of hadron scattering in a lattice gauge theory
On a trapped-ion quantum computer, the authors prepared multiple meson wave packets and simulated their early-time collisions in a 1+1D Z2 lattice gauge theory.
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Observation of hadron scattering in a lattice gauge theory on a quantum computer
The authors observe elastic and confined scattering, plus mass-quench-induced inelastic dynamics, in a 1+1D U(1) lattice gauge theory on IBM quantum hardware.
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