Modified graph-state codes for single-node recovery in quantum distributed storage

Nadkarni, PJ and Raina, A and Garani, SS (2020) Modified graph-state codes for single-node recovery in quantum distributed storage. In: Physical Review A, 102 (6).

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Abstract

Distributed quantum information stored over nodes within a quantum network are prone to node failures, motivating the need for coded quantum networks. We encode k qubits of quantum information over an n-node network in a distributed fashion, with one qubit per node, using modified graph-state codes. We devise a procedure to recover the encoded quantum information in any given arbitrary network after a detected node fails. The recovery procedure is locally within four edges of the failed node. For a network with even number of nodes, we provide a class of scalable modified graph-state codes with rate (n-2)/n, saturating the quantum Singleton bound. This yields higher coding rates than Grassl et al.'s well-known erasure codes and has asymptotic rate 1. For odd node size n, we design the network links to obtain an (n-3)/n rate-optimal modified graph state code. © 2020 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review A
Publisher:	American Physical Society
Additional Information:	The copyright of this article belongs to American Physical Society
Keywords:	Codes (symbols); Computer system recovery; Optimal systems; Quantum optics; Qubits; Recovery, Arbitrary networks; Asymptotic rate; Distributed storage; Of quantum-information; Quantum Information; Quantum network; Recovery procedure; Singleton bound, Graph theory
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	28 Jan 2021 08:06
Last Modified:	28 Jan 2021 08:06
URI:	http://eprints.iisc.ac.in/id/eprint/67828

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