Mixed-state quantum transport in correlated spin networks
Quantum spin networks can be used to transport information between separated registers in a quantum-information processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be relaxed, allowing for complex coupling topologies and general i...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/71723 https://orcid.org/0000-0003-0544-5263 https://orcid.org/0000-0003-3207-594X |
| _version_ | 1811084814086832128 |
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| author | Ajoy, Ashok Cappellaro, Paola |
| author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Ajoy, Ashok Cappellaro, Paola |
| author_sort | Ajoy, Ashok |
| collection | MIT |
| description | Quantum spin networks can be used to transport information between separated registers in a quantum-information processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be relaxed, allowing for complex coupling topologies and general initial states. Here we analyze transport in complex quantum spin networks in the maximally mixed state and derive explicit conditions that should be satisfied by propagators for perfect state transport. Using a description of the transport process as a quantum walk over the network, we show that it is necessary to phase-correlate the transport processes occurring along all the possible paths in the network. We provide a Hamiltonian that achieves this correlation and use it in a constructive method to derive engineered couplings for perfect transport in complicated network topologies. |
| first_indexed | 2024-09-23T12:58:00Z |
| format | Article |
| id | mit-1721.1/71723 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:58:00Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/717232022-10-01T12:12:08Z Mixed-state quantum transport in correlated spin networks Ajoy, Ashok Cappellaro, Paola Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Cappellaro, Paola Ajoy, Ashok Cappellaro, Paola Quantum spin networks can be used to transport information between separated registers in a quantum-information processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be relaxed, allowing for complex coupling topologies and general initial states. Here we analyze transport in complex quantum spin networks in the maximally mixed state and derive explicit conditions that should be satisfied by propagators for perfect state transport. Using a description of the transport process as a quantum walk over the network, we show that it is necessary to phase-correlate the transport processes occurring along all the possible paths in the network. We provide a Hamiltonian that achieves this correlation and use it in a constructive method to derive engineered couplings for perfect transport in complicated network topologies. National Science Foundation (U.S.) (Grant No. DMG-1005926) 2012-07-20T13:44:43Z 2012-07-20T13:44:43Z 2012-04 2012-02 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/71723 Ajoy, Ashok, and Paola Cappellaro. “Mixed-state Quantum Transport in Correlated Spin Networks.” Physical Review A 85.4 (2012). ©2012 American Physical Society https://orcid.org/0000-0003-0544-5263 https://orcid.org/0000-0003-3207-594X en_US http://dx.doi.org/10.1103/PhysRevA.85.042305 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Ajoy, Ashok Cappellaro, Paola Mixed-state quantum transport in correlated spin networks |
| title | Mixed-state quantum transport in correlated spin networks |
| title_full | Mixed-state quantum transport in correlated spin networks |
| title_fullStr | Mixed-state quantum transport in correlated spin networks |
| title_full_unstemmed | Mixed-state quantum transport in correlated spin networks |
| title_short | Mixed-state quantum transport in correlated spin networks |
| title_sort | mixed state quantum transport in correlated spin networks |
| url | http://hdl.handle.net/1721.1/71723 https://orcid.org/0000-0003-0544-5263 https://orcid.org/0000-0003-3207-594X |
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