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Quantum Information Processing
Erschienen in: Quantum Information Processing 3/2017

01.03.2017

Teleportation-based continuous variable quantum cryptography

verfasst von: F. S. Luiz, Gustavo Rigolin

Erschienen in: Quantum Information Processing | Ausgabe 3/2017

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Abstract

We present a continuous variable (CV) quantum key distribution (QKD) scheme based on the CV quantum teleportation of coherent states that yields a raw secret key made up of discrete variables for both Alice and Bob. This protocol preserves the efficient detection schemes of current CV technology (no single-photon detection techniques) and, at the same time, has efficient error correction and privacy amplification schemes due to the binary modulation of the key. We show that for a certain type of incoherent attack, it is secure for almost any value of the transmittance of the optical line used by Alice to share entangled two-mode squeezed states with Bob (no 3 dB or 50% loss limitation characteristic of beam splitting attacks). The present CVQKD protocol works deterministically (no postselection needed) with efficient direct reconciliation techniques (no reverse reconciliation) in order to generate a secure key and beyond the 50% loss case at the incoherent attack level.
Vorheriger Artikel An improved arbitrated quantum signature protocol based on the key-controlled chained CNOT encryption
Nächster Artikel Teleportation of a qubit using entangled non-orthogonal states: a comparative study

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Fußnoten
1
Extensive reviews of the discrete variable protocols in [1‐4] and their descendants can be found in [5, 6].
 
2
A discrete variable QKD scheme is based on the use of qubits or qudits (finite-dimensional Hilbert spaces) while a CVQKD scheme employs physical systems described by infinite-dimensional Hilbert spaces (such as coherent and squeezed states). Note, however, that in CVQKD protocols, the key can be modulated using either discrete or continuous alphabets/variables [36, 37]. In the present protocol, we use a discrete alphabet of coherent states to modulate the key and a two-mode squeezed state to teleport the coherent state from Alice to Bob. This is why we call our protocol a teleportation-based CVQKD scheme.
 
3
Note that the goals of the standard CV teleportation protocol [51‐53] as well as the one of Ref. [57] are not a secure transmission of quantum states. The generalized CV teleportation protocol of Ref. [57] is used here as a tool to the development of the present CVQKD scheme. Without the present modifications, the protocols given in Refs. [51‐53, 57] are not able to achieve a secure transmission of quantum states.
 
4
In other words, as we approach the value of \(50\%\) loss, either from above or below, the states reaching Bob and Eve become more and more equal and the key rate must necessary decrease, being exactly zero when we reach the \(50\%\) loss threshold since in this situation Bob and Eve have exactly the same state.
 
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Metadaten
Titel
Teleportation-based continuous variable quantum cryptography
verfasst von
F. S. Luiz
Gustavo Rigolin
Publikationsdatum
01.03.2017
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 3/2017
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1504-8

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