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arXiv:0907.3393 · Journal of the Physical Society of Japan

Quantum Key Distribution Using Vacuum-One-Photon Qubits: Maximum Number of Transferable Bits per Particle

Su-Yong Lee, Se-Wan Ji, Hai-Woong Lee, Jae Weon Lee, János A. Bergou

Published Aug 28, 2009• 10 citations
arXivHTMLPDF

Abstract

Quantum key distribution schemes which employ encoding on vacuum-one-photon qubits are capable of transferring more information bits per particle than the standard schemes employing polarization or phase coding. We calculate the maximum number of classical bits per particle that can be securely transferred when the key distribution is performed with the BB84 and B92 protocols, respectively, using the vacuum-one-photon qubits. In particular, we show that for a generalized B92 protocol with the vacuum-one-photon qubits, a maximum of two bits per particle can be securely transferred. We also demonstrate the advantage brought about by performing a generalized measurement that is optimized for unambiguous discrimination of the encoded states: the parameter range where the transfer of two bits per particle can be achieved is dramatically enhanced as compared to the corresponding parameter range of projective measurements.

DOI
10.1143/jpsj.78.094001

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Quantum cryptography is a science that exploits quantum mechanical properties to perform cryptographic tasks.The best-known example of quantum cryptography is quantum key distribution, which offers an information-theoretically secure solution to the key exchange problem.I try to generalize the first quantum key distribution protocol called BB84 and implement the protocol in different steps.The implementation is performed in a fully theoretical manner with a general mathematical base.I propose here an algorithm that can make this protocol more secure.After implementation of the protocol, I tried to find out the result, which I illustrated with figures and tables and also proposed here as a suitable polarizer diagram model that helped me find the outcome of this concept.My proposed polarizer diagram only works to encode and decode the valuable secret key that is transferred from sender to receiver, and the secret key will not be transferred as binary bit data but as a photon particle by the photon polarizer converter.Though the protocol BB84 is the most secure of all quantum key distribution protocols, I tried to make it more secure from any third-party access.
Quantum Key Distribution (QKD) provides a secure way of generating shared cryptographic keys between a sender (Alice) and a receiver (Bob). The original BB84 protocol uses a two-dimensional polarization basis, limiting the information content of a single photon to 1 bit. Using the transverse position of single photons as one basis and the Fourier space as a second basis, one can construct a pair of mutually unbiased higher-dimensional bases. This improves not only the security of the protocol, but also the key generation rate. We present experimental results with a Spatial-Light-Modulator-based encoding scheme employing two nearly orthogonal alphabets with on the order of 103symbols each and an information content of about 10 bit.
We propose a scheme for quantum key distribution, in which single photons are encoded with polarization states and then divided and delayed to encode phase differences between two sequential pulses. In an example, the BB84 and DPS (differential phase shift) protocols are combined to achieve single-photon two-qubit quantum key distribution. This scheme can increase the key generation efficiency up to 7/6, higher than that of the conventional single-photon one-qubit quantum key distribution scheme.