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Journal of Experimental and Theoretical Physics

Quantum Key Distribution with Nonbinary Phase–Time Encoding That Admits an Exact Proof of Secrecy

S. N. Molotkov

Published May 1, 2019• 1 citation
Publisher

Abstract

Abstract A quantum key distribution (QKD) protocol with nonbinary encoding is proposed that admits an exact proof of secrecy. The protocol provides higher rate of key generation compared with the BB84 protocol and, moreover, has a simple experimental implementation without active elements on the receiver side, that does not require polarization matching at the output of the communication line.

DOI
10.1134/s1063776119040101

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Abstract The Quantum Key Distribution protocol can encode a single quantum state and implements an information-theoretically secure key distribution protocol in communication. In the actual QKD experimental system, there are usually two encoding methods which are phase encoding and polarization encoding. Ma et al (Phase-Matching Quantum Key Distribution, Phys. Rev. X., 2018, 83) proposed the phase-matching QKD protocol, which has high transmission and it is an extension of the measurement device independent QKD. This paper successfully gives the polarization scheme of this PM-QKD protocol, the bases in the polarization scheme are arbitrary, and eliminates detector side channel attacks. Furthermore, we give the security analysis and simulation results of the polarization scheme, and compare it with the BB84 protocol. The simulation results show that our protocol is superior to the BB84 protocol in terms of transmission distance under the fixed key rate.
Security proof of practical quantum key distribution (QKD) has attracted a lot of attentions in recent years. Most of real-life QKD implementations are based on phase-coding BB84 protocol, which usually use Unbalanced Mach-Zehnder Interferometer (UMZI) as the information encoder and decoder. However, the long arm and short arm of UMZI will introduce different loss in practical experimental realizations, the state emitted by Alice's side is nolonger perfect BB84 states correspondingly. In this paper, we will give the security analysis in this situation. Counterintuitively, active compensation for this different loss will only lower the secret key bit rate.
Abstract A simple and effective fiber implementation of the BB84 protocol is proposed, which does not use phase modulators at the receiving side and do not require adjustment of the polarization state at the output of the communication channel. The implementation of the protocol permits to prove of the secrecy of keys based on the fundamental entropic uncertainty relations. The secret key length is expressed only in terms of the values observed on the reception side, with various detector parameters, such as quantum efficiency and the probability of dark counts, are taken into account automatically for the secret key length, but implicitly in terms of the observed parameters.
Quantum key distribution is considered as one of the safe ways of distributing keys among the frames employed in communication. In 1984, BB84 appeared first as a protocol for QKD. In the present study paper, we proposed a new way of encoding a stream of bits into polarized photons using Legendre Symbol (a/p), where both of the sender and the receiver negotiate of using the function of Legendre symbol. Hence, in this case the proposed protocol uses only quantum channel instead of the classical channel, this leads to less time spent and less quantum error rate occurring comparing with the previous BB84 protocol. The experimental outcome confirms that the proposed protocol delivers efficient results comparing with the original BB84 protocol.
The security of quantum key distribution (QKD) has been proven for different protocols, in particular for the BB84 protocol. It has been shown that this scheme is robust against eventual imperfections in the state preparation, and sending only three different states delivers the same secret key rate achievable with four states. In this work, we prove in a finite-key scenario that the security of this protocol can be maintained even with fewer measurement operators on the receiver. This allows us to implement a time-bin encoding scheme with a minimum amount of resources.