Measuring non-linear functionals of quantum harmonic oscillator states

Details Measuring non-linear functionals of quantum harmonic oscillator states Measuring non-linear functionals of quantum harmonic oscillator states

2005-07-08

arxiv.org/abs/quant-ph/0507076v2

Physics

Quantum Physics

5 pages, 2 figures. Minor corrections and some new references added

Scientific paper

10.1103/PhysRevLett.96.060501

Using only linear interactions and a local parity measurement we show how entanglement can be detected between two harmonic oscillators. The scheme generalizes to measure both linear and non-linear functionals of an arbitrary oscillator state. This leads to many applications including purity tests, eigenvalue estimation, entropy and distance measures - all without the need for non-linear interactions or complete state reconstruction. Remarkably, experimental realization of the proposed scheme is already within the reach of current technology with linear optics.

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