Liouvillian Exceptional Points of Non-Hermitian Systems via Quantum Process Tomography

• URL: http://arxiv.org/abs/2401.14993v1
• Date: Fri, 26 Jan 2024 16:47:26 GMT
• Title: Liouvillian Exceptional Points of Non-Hermitian Systems via Quantum Process Tomography
• Authors: Shilan Abo, Patrycja Tulewicz, Karol Bartkiewicz, \c{S}ahin K. \"Ozdemir, and Adam Miranowicz
• Abstract summary: Hamiltonian exceptional points are spectral degeneracies of non-Hermitian Hamiltonians. quantum process tomography can be readily applied to reveal and characterize LEPs of non-Hermitian systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Hamiltonian exceptional points (HEPs) are spectral degeneracies of non-Hermitian Hamiltonians describing classical and semiclassical open systems with gain and/or loss. However, this definition overlooks the occurrence of quantum jumps in the evolution of open quantum systems. These quantum effects are properly accounted for by considering Liouvillians and their exceptional points (LEPs) [Minganti et al., Phys. Rev. A {\bf 100}, 062131 (2019)]. Here, we explicitly describe how standard quantum process tomography, which reveals the dynamics of a quantum system, can be readily applied to reveal and characterize LEPs of non-Hermitian systems. We conducted experiments on an IBM quantum processor to implement a prototype model simulating the decay of a single qubit through three competing channels. Subsequently, we performed tomographic reconstruction of the corresponding experimental Liouvillians and their LEPs using both single- and two-qubit operations. This example underscores the efficacy of process tomography in tuning and observing LEPs, despite the absence of HEPs in the model.

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