Abstract
The Wigner formalism in the Heisenberg picture constitutes a bridge that connects Quantum Optics to Stochastic Optics. The vacuum field appears explicitly in the formalism, and the wavelike aspects of light are emphasised. In addition, the zeropoint intensity as a threshold for detection is a common denominator in both theories. In this paper, after summarising the basic rules of the Wigner approach and its application to parametric down-conversion, some new results are presented that delve into the physical meaning of the zeropoint field in optical quantum communication. Specifically, the relationship between Bell-state distinguishability and the number of sets of zeropoint modes that take part in the experiment is analysed in terms of the coupling between the phases of the different fields involved and the subtraction of the zeropoint intensity at the detectors. Additionally, the connection between the compatibility theorem in quantum cryptography and zeropoint field is stressed.
Highlights
Stochastic Electrodynamics (SED) was independently developed by T
New results are presented that enhance the physical meaning of the vacuum field in optical quantum communication
These results have been obtained with the WRHP approach of Quantum Optics (QO), being consistent with the theory of Stochastic Optics (SO) based on the existence of a zeropoint field
Summary
Stochastic Electrodynamics (SED) was independently developed by T. We investigate the role of the ZPF amplitudes as hidden variables in optical quantum communication This step is given without having solved the problem of detection in SO, new insights are achieved that reinforce the role of the zeropoint field in the experiments. This relation has been previously demonstrated by a heuristic approach, and it has been applied to BSM of two photons hyperentangled in momentum and polarisation [35].
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