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Digital quantum simulation and Pseudoquantum Simulation of mathbb{Z}₂ Gauge Higgs Model
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Digital quantum simulation and Pseudoquantum Simulation of mathbb{Z}₂ Gauge Higgs Model
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We present a quantum algorithm for digital quantum simulation of the $\mathbb{Z}_2$ gauge-Higgs model on a $3\times 3$ lattice, which is based on Trotter decomposition, the quantum adiabatic algorithm and its circuit realization. Then we perform a classical demonstration, dubbed a pseudoquantum simulation, on a GPU simulator. We obtain useful results on this model, which suggest the topological properties of the deconfined phase and help to clarify the phase diagram. It is suggested that the tricitical point, where the second-order critical lines of deconfinement-confinement transition and of deconfinement-Higgs transition meet, seems to be on the the first-order critical line of confinement-Higgs transition, at a point other than the end of this critical line.
Forward citations
Cited by 2 Pith papers
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution
Deterministic QITE made gauge-invariant via commuting Pauli operators achieves relative error below 0.1 percent for ground-state preparation in 2+1D Z2 LGT on systems up to twelve plaquettes, as shown by tensor-networ...
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Ground state preparation in $(2+1)$-dimensional pure $\mathbb{Z}_2$ lattice gauge theory via deterministic quantum imaginary time evolution
Deterministic QITE with a Gauss-law-reduced Pauli pool reproduces DMRG ground-state energies of (2+1)-D pure Z2 lattice gauge theory to within 0.1% for ladders of up to 32 qubits and coupling λ ∈ [0.5, 5].
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