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The separability of tripartite Gaussian states with amplification and amplitude damping

Xiao-Yu Chen

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The most general evolution solution of multi-mode continuous variable states is given when it undergoes amplification, amplitude damping and thermal noise. In the case of some kind of initial Gaussian state totally symmetrically interacting with the environment, the conditions for full separability and full entanglement of the final tripartite three-mode Gaussian state are worked out.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

42.50.Dv Quantum state engineering and measurements

42.65.Yj Optical parametric oscillators and amplifiers

03.65.Yz Decoherence; open systems; quantum statistical methods

MSC

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

81V80 Quantum optics

Subjects

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 15 (18 April 2008)

Received 12 January 2008, in final form 27 February 2008

Published 2 April 2008



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