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Average entanglement of spin 1 and 1/2 pair

100%
Zhu G.-Q.
Open Physics
|
2009
|
vol. 7
|
issue 1
135-140
EN
We study the entanglement features of the ground state of a system composed of spin 1 and 1/2 parts. In the light of the ground state degeneracy, the notion of average entanglement is used to measure the entanglement of the Hilbert subspace. The entanglement properties of both a general superposition as well as the mixture of the degenerate ground states are discussed by means of average entanglement and the negativity respectively.
2
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Entanglement conditions for four-mode states via the uncertainty relations in conjunction with partial transposition

100%
Song L., Wang X., Yan D., Li Y.
Open Physics
|
2008
|
vol. 6
|
issue 2
199-204
EN
From the Heisenberg uncertainty relation in conjunction with partial transposition, we derive a class of inequalities for detecting entanglements in four-mode states. The sufficient conditions for bipartite entangled states are presented. We also discuss the generalization of the entanglement conditions via the Schrödinger-Robertson indeterminacy relation, which are in general stronger than those based on the Heisenberg uncertainty relation.
3
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Entanglement Conditions Involving Intensity Correlations of Optical Fields: the Case of Multi-Port Interferometry

84%
Ryu J., Marciniak M., Wieśniak M., Kaszlikowski D., Żukowski M.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 6
1713-1718
EN
Normalized quantum Stokes operators introduced in Phys. Rev. A 95, 042113 (2017) enable one to better observe non-classical correlations of entangled states of optical fields with undefined photon numbers. For a given run of an experiment the new quantum Stokes operators are defined by the differences of the measured intensities (or photon numbers) at the exits of a polarizer divided by their sum. It is this ratio that is to be averaged, and not the numerator and the denominator separately, as it is in the conventional approach. The new approach allows to construct more robust entanglement indicators against photon-loss noise, which can detect entangled optical states in situations in which witnesses using standard Stokes operators fail. Here we show an extension of this approach beyond phenomena linked with polarization. We discuss EPR-like experiments involving correlations produced by optical beams in a multi-mode bright squeezed vacuum state. EPR-inspired entanglement conditions for all prime numbers of modes are presented. The conditions are much more resistant to noise due to photon loss than similar ones which employ standard Glauber-like intensity, correlations.
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