Detecting the inseparability and distillability of continuous variable states in Fock space

Details Detecting the inseparability and distillability of continuous variable states in Fock space Detecting the inseparability and distillability of continuous variable states in Fock space

2001-03-30

arxiv.org/abs/quant-ph/0103170v6

Phys. Rev. Lett., 87, 137903(2001)

Physics

Quantum Physics

8 pages, no figure, some typing errors corrected

Scientific paper

The partial transposition(PT) operation is an effecient tool in detecting the inseparability of a mixed state. We give an explicit formula for the PT operation for the continuous variable states in Fock space. We then give the necessary and sufficient condition for the positivity of Gaussian operators. Based on this, a number of creterions on the inseparability and distillability for the multimode Gaussian states are naturally drawn. We finally give an explicit formula for the state in a subspace of a global Gaussian state. This formula, together with the known results for Gaussian states, gives the criterions for the inseparability and distillability in a subspace of the global Gaussian state.

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