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Generalized Discrimination Between Symmetric Coherent States for Eavesdropping in Quantum Cryptography

D. A. Kronberg

2020Lobachevskii Journal of Mathematics11 citationsDOI

Abstract

Symmetric coherent states are of interest in quantum cryptography, since for such states there is an upper bound for unambiguous state discrimination (USD) probability, which is used to resist USD attack. But it is not completely clear what an eavesdropper can do for shorter channel length, when USD attack in not available. We consider the task of generalized discrimination between symmetric coherent states and construct an operation which enlarges the information content of the states with fixed failure probability. We apply this transformation to develop a zero-error eavesdropping strategy for quantum cryptography on symmetric coherent states.

Topics & Concepts

EavesdroppingMathematicsQuantum cryptographyCryptographyCoherent statesState (computer science)Quantum stateTransformation (genetics)Upper and lower boundsQuantumQuantum informationQuantum mechanicsAlgorithmComputer securityComputer scienceMathematical analysisPhysicsChemistryBiochemistryGeneQuantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum Mechanics and Applications