Liouvillian Exceptional Points in Quantum Brickwork Circuits

• URL: http://arxiv.org/abs/2510.10629v2
• Date: Thu, 30 Oct 2025 15:35:25 GMT
• Title: Liouvillian Exceptional Points in Quantum Brickwork Circuits
• Abstract summary: We show that Liouvillian exceptional points emerge in discrete completely positive trace-preserving circuits.<n>These results establish a direct bridge between continuous non-Hermitian physics and discrete quantum-circuit architectures.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive trace-preserving (CPTP) circuits. By analytically solving a minimal two-qubit brickwork model, we identify the conditions under which discrete-time LEPs arise and show that they retain the hallmark square-root eigenvalue splitting and linear-in-time sensitivity enhancement. These results establish a direct bridge between continuous non-Hermitian physics and discrete quantum-circuit architectures, opening a path toward the realization of exceptional-point-based sensing on near-term quantum processors.

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