Recovery from an eavesdropping attack on a qubit of a graph state

Raina, Ankur and Garani, Shayan Srinivasa (2019) Recovery from an eavesdropping attack on a qubit of a graph state. In: QUANTUM INFORMATION PROCESSING, 18 (9).

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Abstract

Graph states are multipartite entangled pure states that can describe distributed quantum information in a formal setting via the notion of nodes and edges. One qubit is present at each node, and the entangling interactions are represented via the edges. We investigate eavesdropping on one of the qubits of the graph state. The eavesdropper uses an ancilla qubit to unitarily interact with one of the qubits followed by a measurement on the ancilla qubit. We study the effect of eavesdropping on the graph state and its connections to the graph topology. We propose the use of a modified graph state by performing certain controlled unitary operations on the existing graph state. This improves the error correcting ability of the graph state, and the modified graph state can correct any error on one qubit.

Item Type:	Journal Article
Publication:	QUANTUM INFORMATION PROCESSING
Publisher:	SPRINGER
Additional Information:	copyright for this article belongs to SPRINGER
Keywords:	Modified graph state; Probe qubit; Schmidt decomposition; Quantum error correction; Target qubit
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	16 Sep 2019 11:45
Last Modified:	16 Sep 2019 11:45
URI:	http://eprints.iisc.ac.in/id/eprint/63532

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