Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding

• URL: http://arxiv.org/abs/2505.02900v1
• Date: Mon, 05 May 2025 18:00:01 GMT
• Title: Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
• Authors: Yuxuan Zhang, Timothy H. Hsieh, Yong Baek Kim, Yijian Zou,
• Abstract summary: We experimentally probe and characterize mixed-state phases on Quantinuum's H1 quantum computer.<n>Our work is a proof of concept for the quantum simulation and characterization of mixed-state phases.
• Score: 6.267386954898001
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Recent advances have defined nontrivial phases of matter in open quantum systems, such as many-body quantum states subject to environmental noise. In this work, we experimentally probe and characterize mixed-state phases on Quantinuum's H1 quantum computer using two measures: Renyi correlators and the coding performance of a quantum error-correcting code associated with the phase. As a concrete example, we probe the low-energy states of the critical transverse field Ising model under different dephasing noise channels. First, we employ shadow tomography to observe a newly proposed Renyi correlator in two distinct phases: one exhibiting power-law decay and the other long-ranged. Second, we investigate the decoding fidelity of the associated quantum error-correcting code using a variational quantum circuit, and we find that a shallow circuit is sufficient to distinguish the above-mentioned two mixed-state phases through the decoding performance quantified by entanglement fidelity. Our work is a proof of concept for the quantum simulation and characterization of mixed-state phases.

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