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Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
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abstract
We find a simple spin Hamiltonian to describe physical states of $2+1$ dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at $j_{\rm max}=\frac{1}{2}$. The simple spin Hamiltonian only contains local products of Pauli matrices, even though Gauss's law has been completely integrated out.
Forward citations
Cited by 4 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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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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Dynamical Local Tadpole-Improvement in Quantum Simulations of Gauge Theories
Tadpole improvement factors in real-time lattice gauge theory simulations are state- and time-dependent and should be updated self-consistently at each time step.
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Hamiltonian Lattice Gauge Theories: emergent properties from Tensor Network methods
A dressed-site rishon formalism enables bosonic, gauge-invariant tensor network simulations of SU(2) lattice gauge theory in two dimensions, yielding finite-density phase diagrams and quantum many-body scarring dynamics.
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