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Quantum direct communication protocol using recurrence in k -cycle quantum walks

Panda, Sanjeet Swaroop and Yasir, P. A. Ameen and Chandrashekar, C.M. (2023) Quantum direct communication protocol using recurrence in k -cycle quantum walks. In: Physical Review A, 107 (2).

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Official URL: https://10.1103/PhysRevA.107.022611


The ability of quantum walks to evolve in a superposition of distinct quantum states has been used as a resource in quantum communication protocols. Under certain settings, the k-cycle discrete-time quantum walks (DTQW) are known to recur to its initial state after every tr steps. We first present a scheme to optically realize any k-cycle DTQW using J-plate, orbital angular momentum (OAM) sorters, optical switch, and optical delay line. This entangles the polarization and OAM degrees of freedom (DoF) of a single photon. Making use of this recurrence phenomena of k-cycle DTQW and the entanglement generated during the evolution, we present an alternate quantum direct communication protocol. The recurrence and entanglement in the k-cycle walk are effectively used to retrieve and secure the information, respectively, in the proposed protocol. We investigate the security of the protocol against intercept and the resend attack. We also quantify the effect of amplitude damping and depolarizing noises on recurrence and mutual information between polarization and the OAM DoF of a single photon. Finally, we indicated an optimal attack strategy by which an Eavesdropper can tamper part of the message without revealing her presence. However, when the quantum communication channel is less noisy, any attempt by the Eavesdropper to tamper the message would end up in exposing her to the receiver. © 2023 American Physical Society.

Item Type: Journal Article
Publication: Physical Review A
Publisher: American Physical Society
Additional Information: The copyright of this article belongs to the Authors.
Keywords: Depolarization; Optical communication; Particle beams; Photons; Quantum communication; Quantum cryptography; Quantum entanglement; Communications protocols; Direct communications; Discrete time; Eavesdroppe; K -cycle; Orbital angular momentum; Quantum state; Quantum walk; Single photons; Time quantum; Degrees of freedom (mechanics)
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited: 10 Mar 2023 09:52
Last Modified: 10 Mar 2023 09:52
URI: https://eprints.iisc.ac.in/id/eprint/80919

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