Squashing Models for Optical Measurements in Quantum Communication

Details Squashing Models for Optical Measurements in Quantum Communication Squashing Models for Optical Measurements in Quantum Communication

2008-04-18

arxiv.org/abs/0804.3082v4

Phys. Rev. Lett. 101, 093601 (2008)

Physics

Quantum Physics

4 pages, 2 figures. Fixed a typographical error. Replaced the six-state protocol counter-example. Conclusions of the paper are

Scientific paper

10.1103/PhysRevLett.101.093601

Measurements with photodetectors necessarily need to be described in the infinite dimensional Fock space of one or several modes. For some measurements a model has been postulated which describes the full mode measurement as a composition of a mapping (squashing) of the signal into a small dimensional Hilbert space followed by a specified target measurement. We present a formalism to investigate whether a given measurement pair of mode and target measurements can be connected by a squashing model. We show that the measurements used in the BB84 protocol do allow a squashing description, although the six-state protocol does not. As a result, security proofs for the BB84 protocol can be based on the assumption that the eavesdropper forwards at most one photon, while the same does not hold for the six-state protocol.

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