Simple criteria for the implementation of projective measurements with linear 
optics

van Loock, P; Lutkenhaus, N

doi:10.1103/PhysRevA.69.012302

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Simple criteria for the implementation of projective measurements with linear optics

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Lutkenhaus, N
Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

van Loock, P., & Lutkenhaus, N. (2004). Simple criteria for the implementation of projective measurements with linear optics. PHYSICAL REVIEW A, 69(1): 012302. doi:10.1103/PhysRevA.69.012302.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6DEE-9

Abstract

We derive a set of criteria to decide whether a given projection measurement can be, in principle, exactly implemented solely by means of linear optics. The derivation can be adapted to various detection methods, including photon counting and homodyne detection. These criteria enable one to obtain no-go theorems easily for the exact distinguishability of orthogonal quantum states with linear optics, including the use of auxiliary photons and conditional dynamics.