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Erschienen in: Quantum Information Processing 5/2017

01.05.2017

Quantum cryptography over non-Markovian channels

verfasst von: Kishore Thapliyal, Anirban Pathak, Subhashish Banerjee

Erschienen in: Quantum Information Processing | Ausgabe 5/2017

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Abstract

A three-party scheme for secure quantum communication, namely controlled quantum dialogue (CQD), is analyzed under the influence of non-Markovian channels. By comparing with the corresponding Markovian cases, it is seen that the average fidelity can be maintained for relatively longer periods of time. Interestingly, a number of facets of quantum cryptography, such as quantum secure direct communication, deterministic secure quantum communication and their controlled counterparts, quantum dialogue, quantum key distribution, quantum key agreement, can be reduced from the CQD scheme. Therefore, the CQD scheme is analyzed under the influence of damping, dephasing and depolarizing non-Markovian channels, and subsequently, the effect of these non-Markovian channels on the other schemes of secure quantum communication is deduced from the results obtained for CQD. The damped non-Markovian channel causes a periodic revival in the fidelity, while fidelity is observed to be sustained under the influence of the dephasing non-Markovian channel.

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Fußnoten
1
Here, and in what follows, all the qubits traveling from one party to another are sent in a secure manner, i.e., to send a sequence of n travel qubits, an equal number of decoy qubits are inserted randomly in the original sequence of the travel qubits, and subsequently, these decoy qubits are measured to check the existence of eavesdropper(s). Various choices of decoy qubits and the corresponding principles of security are discussed in [63].
 
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Metadaten
Titel
Quantum cryptography over non-Markovian channels
verfasst von
Kishore Thapliyal
Anirban Pathak
Subhashish Banerjee
Publikationsdatum
01.05.2017
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 5/2017
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1567-1

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