Contradiction of quantum mechanics with local hidden variables for quadrature phase measurements on pair-coherent states and squeezed macroscopic superpositions of coherent states

A. Gilchrist*, P. Deuar, M. D. Reid

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Citations (Scopus)

Abstract

We demonstrate a contradiction of quantum mechanics with local hidden variable theories for continuous quadrature phase amplitude ("position" and "momentum") measurements. A contradiction is shown possible for two quantum states: a pair-coherent state, and a superpositions of two coherent states, where the superposition state has been squeezed by the action of a two-mode squeezing operator. In one case a contradiction is still possible for states of increasing photon number, though the effect becomes smaller and more difficult to observe. The high efficiency of the homodyne method of measurement of quadrature phase amplitudes may open a way for a loophole-free test of local hidden variable theories, and the effect of detection loss on the contradiction with local hidden variables is calculated.

Original languageEnglish
Pages (from-to)4259-4271
Number of pages13
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume60
Issue number6
Publication statusPublished - Dec 1999
Externally publishedYes

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