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Phys. Rev. A 71, 060302(R) (2005) [4 pages]

Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities

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S. D. Barrett1,*, Pieter Kok1, Kae Nemoto2, R. G. Beausoleil3, W. J. Munro1,2, and T. P. Spiller1
1Hewlett-Packard Laboratories, Filton Road Stoke Gifford, Bristol BS34 8QZ, United Kingdom
2National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan
3Hewlett-Packard Laboratories, 13837 175th Pl. NE, Redmond, Washington 98052-2180, USA

Received 20 August 2004; published 7 June 2005

We describe a method to project photonic two-qubit states onto the symmetric and antisymmetric subspaces of their Hilbert space. This device utilizes an ancillary coherent state, together with a weak cross-Kerr nonlinearity, generated, for example, by electromagnetically induced transparency. The symmetry analyzer is nondestructive, and works for small values of the cross-Kerr coupling. Furthermore, this device can be used to construct a nondestructive Bell-state detector.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.060302
DOI:
10.1103/PhysRevA.71.060302
PACS:
03.67.Hk, 32.80.−t, 42.50.Gy, 42.65.−k

*Electronic address: sean.barrett@hp.com