Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.
Exact nonequilibrium steady states of boundary driven circuit with XYZ gates
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abstract
We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product Ansatz. The Ansatz has formally infinite bond-dimension and generalizes authors' previous construction \cite{2025XXZcircuit} for the XXZ interactions. The boundary qubits are coupled to reset quantum channels that project them toward arbitrary pure target states. We find and describe a family of relatively robust separable chiral nonequilibrium steady states (NESS), which are elliptic analogs of spin helices for the circuit, and which are particularly attractive from an experimental perspective.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Defines influence-solvability for (1+1)D circuits via finite-χ uniform MPS influence matrices, derives local necessary and sufficient conditions from the MPS fundamental theorem, and classifies new solvable brickwork circuits for small local dimensions.
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Open-boundary integrable quantum circuits with different geometries
Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.
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Influence-solvability: a systematic theory of $(1+1)D$ solvability and its application to brickwork circuits
Defines influence-solvability for (1+1)D circuits via finite-χ uniform MPS influence matrices, derives local necessary and sufficient conditions from the MPS fundamental theorem, and classifies new solvable brickwork circuits for small local dimensions.