Mixed State Entanglement: Manipulating Polarisation-Entangled Photons

Abstract

There has been much discussion recently regarding entanglement transformations in terms of local filtering operations and whether the optimal entanglement for an arbitrary two-qubit state could be realised. We introduce an experimentally realisable scheme for manipulating the entanglement of an arbitrary state of two polarisation entangled qubits. This scheme is then used to provide some perspective to the mathematical concepts inherent in this field with respect to a laboratory environment. Specifically, we look at how to extract enhanced entanglement from systems with a fixed rank and in the case where the rank of the density operator for the state can be reduced, show how the state can be made arbitrarily close to a maximally entangled pure state. In this context we also discuss bounds on entanglement in mixed states.

12 pages, 10 figures

References in corpus (1)

• Entanglement Manipulation and Concentration

Cited by in corpus (11)

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• Experimental preparation of Werner state via spontaneous parametric down-conversion
• Experimental Entanglement Distillation of Two-qubit Mixed States Under Local filtering Operations
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• Experimental hierarchy and optimal robustness of quantum correlations of two-qubit states with controllable white noise
• Dependence of the decoherence of polarization states in phase-damping channels on the frequency spectrum envelope of photons
• Exploring classical correlations in noise to recover quantum information using local filtering
• Preparation of polarization entangled mixed states of two photons
• Exploring quantum properties of bipartite mixed states under coherent and incoherent basis
• Quantum entropy and polarization measurements of the two-photon system
• Generation and Manipulation of Entanglement in Quantum Optical Systems