Naslov
Geometric characterization of separability and entanglement in pure Gaussian states by single-mode unitary operations

Autori
Adesso, Gerardo ; Giampaolo, Salvatore M. ; Illuminati, Fabrizio

Izvornik
Physical review, A, Atomic, molecular, and optical physics (1050-2947) 76 (2007), 4; 042334, 6

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo

Ključne riječi
entanglement

Sažetak
We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single subsystem unitary transformations that has been recently introduced to characterize separability and entanglement in pure states of qubits and qutrits 关S. M. Giampaolo and F. Illuminati, Phys. Rev. A 76, 042301 共2007兲兴. In analogy with the finite- dimensional case, we demonstrate that the 1 ⫻ M bipartite entangle- ment of a multimode pure Gaussian state can be quantified by the minimum squared Euclidean distance between the state itself and the set of states obtained by transforming it via suitable local symplectic 共unitary兲 operations. This minimum distance, corresponding to a, uniquely determined, extremal local operation, defines an entanglement monotone equivalent to the entropy of entanglement, and amenable to direct experimental measurement with linear optical schemes.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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