Encryption via Entangled states belonging to Mutually Unbiased Bases

TL;DR

This paper explores a quantum encryption protocol utilizing entangled states in mutually unbiased bases (MUB), establishing a link between entanglement and MUB for secure key distribution.

Contribution

It introduces a novel encryption method based on entangled states in MUB, connecting entanglement properties with MUB labels for quantum security.

Findings

Proposes a secure key distribution protocol using entangled MUB states.

Establishes a correspondence between entangled states and MUB labels.

Highlights the maximum incompatibility of MUB in quantum encryption.

Abstract

We consider particular entanglement of two particles whose state vectors are in bases that are mutually unbiased (MUB), i.e. "that exhibit maximum degree of incompatibility" (J.Schwinger,Nat. Ac. Sci. (USA), 1960)). We use this link between entanglement and MUB to outline a protocol for secure key distribution among the parties that share these entangled states. The analysis leads to an association of entangled states and states in an MUB set: both carry the same labels.