Structural Physical Approximation make possible to realize the optimal singlet fraction with two measurements

Abstract

Structural physical approximation (SPA) has been exploited to approximate non-physical operation such as partial transpose. It has already been studied in the context of detection of entanglement and found that if the minimum eigenvalue of SPA to partial transpose is less than $\frac{2}{9}$ then the two-qubit state is entangled. We find application of SPA to partial transpose in the estimation of optimal singlet fraction. We show that optimal singlet fraction can be expressed in terms of minimum eigenvalue of SPA to partial transpose. We also show that optimal singlet fraction can be realized using Hong-Ou-Mandel interferometry with only two detectors. Further we have shown that the generated hybrid entangled state between a qubit and a binary coherent state can be used as a resource state in quantum teleportation.

7 pages, Accepted in Phys. Rev. A

References in corpus (5)

• All non-classical correlations can be activated into distillable entanglement
• Structural approximations to positive maps and entanglement breaking channels
• Designing Quantum Information Processing via Structural Physical Approximation
• Quantum Cloning of Binary Coherent States - Optimal Transformations and Practical Limits
• Entanglement Detection with Single Hong-Ou-Mandel Interferometry

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• Detection of mixed bipartite entangled state in arbitrary dimension via structural physical approximation of partial transposition
• Physical realization of realignment criteria using structural physical approximation
• Guaranteeing Completely Positive Quantum Evolution
• Structural physical approximation of partial transposition makes possible to distinguish SLOCC inequivalent classes of three-qubit system