Chinese Physics B

A scheme for demonstration of four-photon de Broglie wavelength

Xiaoqi Zhou, Yang Tao

Published Oct 1, 2008• 1 citation

Abstract

We propose a scheme to effectively generate a four-photon path-entangled number state [the NOON state i.e. for the demonstration of four-photon de Broglie wavelength. Our scheme requires only linear optical elements, photon detectors and post-selections which are all within the reach of current technology.

DOI: 10.1088/1674-1056/17/10/004

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Chinese Physics B

A scheme for demonstration of four-photon de Broglie wavelength

Xiaoqi Zhou, Yang Tao

Published Oct 1, 2008• 1 citation

Publisher

Abstract

DOI: 10.1088/1674-1056/17/10/004

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We construct a projection measurement process for the maximally entangled

N

-photon state [the NOON state $(\ensuremath{\mid}N,0⟩+\ensuremath{\mid}0,N⟩)∕\sqrt{2}$] with only linear optical elements and photodetectors. This measurement process will give null result for any

N

-photon state that is orthogonal to the NOON state. We examine the projection process in more detail for

N=4

by applying it to a four-photon state from type-II parametric down-conversion. This demonstrates an orthogonal projection measurement with a null result. This null result corresponds to a dip in a generalized Hong-Ou-Mandel interferometer for four photons. We find that the depth of the dip in this arrangement can be used to distinguish a genuine entangled four-photon state from two separate pairs of photons. We next apply the NOON state projection measurement to a four-photon superposition state from two perpendicularly oriented type-I parametric down-conversion processes. A successful NOON state projection is demonstrated with the appearance of the four-photon de Broglie wavelength in the interference fringe pattern.

An experimental scheme for producing a four-photon entangled

W

state directly from the parametric down-conversion of a two-crystal geometry is proposed. In our scheme, only linear optical elements and photon detectors are required. Sophisticated and fragile interferometric setups are unnecessary.