Abstract

In this article, protocols for quantum key distribution based on encoding in higher dimensional systems in N-dimensional Hilbert space are proposed. We extend the original Bennett-Brassard protocol using two complementary bases and two-dimensional states to M mutually complementary bases and N orthogonal vectors in each base. We study the mutual information between the legitimate parties and the eavesdropper and the error rate by considering various incoherent eavesdropping attacks as a function of the dimension of the Hilbert space.

Keywords

EavesdroppingPhysicsQuantum key distributionHilbert spaceMutually unbiased basesEncoding (memory)Dimension (graph theory)Key (lock)Protocol (science)Space (punctuation)QuantumDistribution (mathematics)Quantum cryptographyFunction (biology)Quantum information scienceStatistical physicsTheoretical computer scienceQuantum informationTopology (electrical circuits)Quantum mechanicsPure mathematicsComputer scienceComputer securityMathematical analysisCombinatoricsMathematicsQuantum entanglementArtificial intelligenceGenetics

Affiliated Institutions

Related Publications

Quantum cryptography based on Bell’s theorem

Artur Ekert

Practical application of the generalized Bell's theorem in the so-called key distribution process in cryptography is reported. The proposed scheme is based on the Bohm's version...

1991 Physical Review Letters 10250 citations

Publication Info

Year
2001
Type
article
Volume
64
Issue
1
Citations
276
Access
Closed

External Links

View on DOI.org

Social Impact

Altmetric
PlumX Metrics

Social media, news, blog, policy document mentions

Citation Metrics

276
OpenAlex

Cite This

Mohamed Bourennane, Anders Karlsson, Gunnar Björk (2001). Quantum key distribution using multilevel encoding. Physical Review A , 64 (1) . https://doi.org/10.1103/physreva.64.012306

Identifiers

DOI
10.1103/physreva.64.012306