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Information transfer fidelity in spin networks and ring-based quantum

Jonckheere, E., Langbein, Frank Curd and Schirmer, S. G. 2015. Information transfer fidelity in spin networks and ring-based quantum. Quantum Information Processing 14 (12) , pp. 4751-4785. 10.1007/s11128-015-1136-4

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Abstract

Spin networks are endowed with an Information Transfer Fidelity (ITF), which defines an absolute upper bound on the probability of transmission of an excitation from one spin to another. The ITF is easily computable but the bound can be reached asymptotically in time only under certain conditions. General conditions for attainability of the bound are established and the process of achieving the maximum transfer probability is given a dynamical model, the translation on the torus. The time to reach the maximum probability is estimated using the simultaneous Diophantine approximation, implemented using a variant of the Lenstra-Lenstra-Lov\'asz (LLL) algorithm. For a ring with uniform couplings, the network can be made a metric space by defining a distance (satisfying the triangle inequality) that quantifies the lack of transmission fidelity between two nodes. It is shown that transfer fidelities and transfer times can be improved significantly by means of simple controls taking the form of non-dynamic, spatially localized bias fields, opening up the possibility for intelligent design of spin networks and dynamic routing of information encoded in them, while being more flexible than engineering fixed couplings to favor some transfers, and less demanding than control schemes requiring fast dynamic controls.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Additional Information: First online: 08 October 2015 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License
Publisher: Springer Verlag
ISSN: 1570-0755
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 27 September 2015
Last Modified: 12 Mar 2019 15:58
URI: http://orca.cf.ac.uk/id/eprint/77046

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