Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909601621868544 |
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| author | Zhang, Yuxuan Hsieh, Timothy H. Kim, Yong Baek Zou, Yijian |
| author_facet | Zhang, Yuxuan Hsieh, Timothy H. Kim, Yong Baek Zou, Yijian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02900 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Zhang, Yuxuan Hsieh, Timothy H. Kim, Yong Baek Zou, Yijian Quantum Physics Strongly Correlated Electrons 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. |
| title | Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.02900 |