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Trapped Ion Quantum Computing

Liouvillian Exceptional Points in Quantum Brickwork Circuits

arXiv

Authors: Vladislav Popkov, Mario Salerno

Year

2025

Paper ID

51339

Status

Preprint

Abstract Read

~2 min

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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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We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.10629 [2] arXiv https://arxiv.org/abs/2510.10629 [3] Publisher https://arxiv.org/abs/2510.10629

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