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Purification Protocol for Superposed Coherent States via Homodyne Detection : An Example of Quantum State Controlling Based on Entanglement and Measurement(Current Topics)

Shigenari Suzuki, Masahiro Takeoka, Masahide Sasaki, Ulrik L. Andersen, Fumihiko Kannari

Published Nov 5, 2007• 0 citations
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We present a simple protocol to purify a coherent state superposition from a statistical mixture of a superposed states and coherent states. The scheme constitutes only a single beam splitter and a homodyne detector, and thus experimentally feasible. In practice, a superposition of coherent states is transformed into such a mixture by linear loss, which is usually the dominant decoherence mechanism in optical systems. We also address the possibility of producing a larger amplitude superposition state from decohered states, and show that in most cases the decoherence of the states are amplified along with the amplitude.
We present an entanglement purification protocol and an entanglement concentration protocol in this paper, resorting to cross-Kerr nonlinearities and interference of two coherent beams. Our purification protocol can be used to purify photon pairs not only from an ideal entangled source but also from a parametric down-conversion source by the measurement on the interference of two coherent beams without giant cross-Kerr media. Our quantum nondemolition detection can also used to concentrate photon pairs in less entangled pure states efficiently. Our protocols are more flexibilities in distinguishing the phases of the coherent states during homodyne detection.