Complementary properties of multiphoton quantum states in linear optics networks

Complementary properties of multiphoton quantum states in linear optics networks

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We have developed a theory for accessing quantum coherences in mutually unbiased bases associated with generalized Pauli operators bed linen in multiphoton multimode linear optics networks (LONs).We show a way to construct complementary Pauli measurements in multiphoton LONs and establish a theory for evaluation of their photonic measurement statistics without dealing with the computational complexity of Boson samplings.This theory extends characterization of complementary properties in single-photon LONs to multiphoton LONs employing convex-roof extension.

It allows us to detect quantum properties such as entanglement using complementary Accessories - Headgear Pauli measurements, which reveals the physical significance of entanglement between modes in bipartite multiphoton LONs.