Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909196920815616 |
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| author | Zhang, Zhehao Agrawal, Utkarsh Vijay, Sagar |
| author_facet | Zhang, Zhehao Agrawal, Utkarsh Vijay, Sagar |
| contents | Certain pure-state symmetry-protected topological orders (SPT) can be used as a resource for transmitting quantum information. Here, we investigate the ability to transmit quantum information using decohered SPT states, and relate this property to the "strange correlation functions" which diagnose quantum many-body orders in these mixed-states. This perspective leads to the identification of a class of quantum channels -- termed symmetry-decoupling channels -- which do not necessarily preserve any weak or strong symmetries of the SPT state, but nevertheless protect quantum many-body order in the decohered mixed-state. We quantify the ability to transmit quantum information in decohered SPT states through the coherent quantum information, whose behavior is generally related to a decoding problem, whereby local measurements in the system are used to attempt to "learn" the symmetry charge of the SPT state before decoherence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States Zhang, Zhehao Agrawal, Utkarsh Vijay, Sagar Quantum Physics Strongly Correlated Electrons Certain pure-state symmetry-protected topological orders (SPT) can be used as a resource for transmitting quantum information. Here, we investigate the ability to transmit quantum information using decohered SPT states, and relate this property to the "strange correlation functions" which diagnose quantum many-body orders in these mixed-states. This perspective leads to the identification of a class of quantum channels -- termed symmetry-decoupling channels -- which do not necessarily preserve any weak or strong symmetries of the SPT state, but nevertheless protect quantum many-body order in the decohered mixed-state. We quantify the ability to transmit quantum information in decohered SPT states through the coherent quantum information, whose behavior is generally related to a decoding problem, whereby local measurements in the system are used to attempt to "learn" the symmetry charge of the SPT state before decoherence. |
| title | Quantum Communication and Mixed-State Order in Decohered Symmetry-Protected Topological States |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2405.05965 |