Recovery of quantum information from a node failure in a graph

Raina, A and Nadkarni, P J and Garani, S S (2020) Recovery of quantum information from a node failure in a graph. In: Quantum Information Processing, 19 (2).

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Abstract

Quantum entanglement is a well-known quantum way of introducing redundancy in quantum error correcting codes. The unitary interactions when modeled using edges of a graph with qubits as nodes give rise to a quantum graph state. Quantum graph states are highly entangled quantum states created using specific unitary interactions between qubits. We consider the problem of failure of a node of the graph. The node failure leads to the loss of one of the qubits of the graph state, resulting in a mixed state. In order to restore the quantum information originally stored in the graph state, we devise a mechanism to purify the mixed state via a unitary operation, followed by measurement. We propose a modification to the existing graph state and call it a modified graph state. This improves the error correction ability of the graph state, and it is able to correct single bit flip errors ensuing after the measurement stage. Using this modified graph state code, our procedure recovers the quantum information in the graph in the event of one node failure.

Item Type:	Journal Article
Publication:	Quantum Information Processing
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer
Keywords:	Error correction; Graph theory; Quantum noise; Quantum optics; Qubits, Correction ability; Graph; Graph state; Node failure; Of quantum-information; Quantum error correcting codes; Quantum Information; Schmidt decomposition, Quantum entanglement
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	23 Jan 2020 06:29
Last Modified:	23 Jan 2020 06:29
URI:	http://eprints.iisc.ac.in/id/eprint/64354

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