Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system

Details Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system Entanglement in general two-mode continuous-variable states: local approach and mapping to a two-qubit system

2006-08-15

arxiv.org/abs/quant-ph/0608121v4

Physics

Quantum Physics

4 pages, RevTeX 4, one figure. Further modifications in response to journal referees, correction to expression for negativity

Scientific paper

10.1103/PhysRevA.76.042320

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some region of space; we study the entanglement remaining after filtering. For small regions, a two-mode system can be approximated by a pair of qubits and its entanglement fully characterized, even for mixed states. Our approach may be extended to any smooth bipartite pure state or two-mode mixed state, leading to natural definitions of concurrence and negativity densities. For Gaussian states both these quantities are constant throughout configuration space.

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