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Mixed-state quantum transport in correlated spin networks

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Author(s)
Ajoy, Ashok
•
Cappellaro, Paola
Date Issued
April 2012
Journal
Physical Review A
Publisher
American Physical Society
Citation
Ajoy, Ashok, and Paola Cappellaro. “Mixed-state Quantum Transport in Correlated Spin Networks.” Physical Review A 85.4 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
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.
Persistent DSpace Link
http://hdl.handle.net/1721.1/71723
DOI of Published Version
https://doi.org/10.1103/PhysRevA.85.042305
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