Information vs. Disturbance in Dimension D

Abstract

We show that for Eve to get information in one basis about a state, she must cause errors in all bases that are mutually unbiased to that basis. Our result holds in any dimension. We also show that this result holds for all functions of messages that are encrypted with a key.

18 pages, 1 figure

References in corpus (4)

• Optimal eavesdropping in cryptography with three-dimensional quantum states
• Unconditional Security of Three State Quantum Key Distribution Protocols
• Unconditionally Secure Key Distribution In Higher Dimensions By Depolarization
• The Universal Composable Security of Quantum Key Distribution

Cited by in corpus (2)

• The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography
• Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras