Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation

Laurat, Julien; Keller, G.; Oliveira-Huguenin, José Augusto; Fabre, Claude; Coudreau, Thomas; Serafini, Alessio; Adesso, Gerardo; Illuminati, Fabrizio

doi:10.1088/1464-4266/7/12/021

Cited by 180 publications

(197 citation statements)

References 47 publications

(61 reference statements)

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“…In particular, we take a two-mode squeezed state as an input state, which is a typical Gaussian state produced in experiment. It is also known that every Gaussian pure state can be transformed to a two-mode squeezed state by local unitary Gaussian operations [22]. It has been previously found that the entanglement can be distilled by some non-Gaussian operations such as photon subtraction (addition) and addition-then-subtraction (subtraction-thenaddition) operations.…”

Section: Non-gaussian Two-mode Entangled States By a Coherent Supmentioning

confidence: 99%

Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition

et al. 2011

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We investigate how the entanglement properties of a two-mode state can be improved by performing a coherent superposition operation tâ + râ † of photon subtraction and addition, proposed by Lee and Nha [Phys. Rev. A 82, 053812 (2010)], on each mode. We show that the degree of entanglement, the EPR-type correlation, and the performance of quantum teleportation can be all enhanced for the output state when the coherent operation is applied to a two-mode squeezed state. The effects of the coherent operation are more prominent than those of the mere photon subtraction a and the additionâ † particularly in the small squeezing regime, whereas the optimal operation becomes the photon subtraction (case of r = 0) in the large-squeezing regime.

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Section: Non-gaussian Two-mode Entangled States By a Coherent Supmentioning

confidence: 99%

Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition

et al. 2011

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“…[24] to describe continuous Gaussian variables and has been evaluated in a number of examples [9,25,26,27]. The logarithmic negativity can be expressed in terms of the elements of the correlation matrix…”

Section: Entanglementmentioning

confidence: 99%

Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror

2008

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It has previously been shown theoretically that the exchange of linear momentum between the light field in an optical cavity and a vibrating end mirror can entangle the electromagnetic field with the vibrational motion of that mirror. In this paper we consider the rotational analog of this situation and show that radiation torque can similarly entangle a Laguerre-Gaussian cavity mode with a rotating end mirror. We examine the mirror-field entanglement as a function of ambient temperature, radiation detuning and orbital angular momentum carried by the cavity mode.

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“…One first needs a phase plate in order to rotate one copy of π/2, realizing the operation Σ 2 , as demonstrated e.g. in [22]. Thereafter, the evaluation of the overlap between the rotated copy and the unrotated one involves standard tools of linear optics, as routinely demonstrated in the determination of the fidelity F of teleportation experiments with continuous variables [23], or in the implementation of interferometric schemes [24] that can be realized even without homodyning [25].…”

Section: Experimental Remarks and Future Perspectivesmentioning

confidence: 99%

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

2007

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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 [arXiv:0706.1561]. In analogy with the finite-dimensional case, we demonstrate that the 1 × M bipartite entanglement 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 (unitary) operations. This minimum distance, corresponding to a, uniquely determined, extremal local operation, defines a novel entanglement monotone equivalent to the entropy of entanglement, and amenable to direct experimental measurement with linear optical schemes.

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Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation

Cited by 180 publications

References 47 publications

Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition

Enhancing quantum entanglement for continuous variables by a coherent superposition of photon subtraction and addition

Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror

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

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