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Erschienen in:
01.03.2021
Witness operator provides better estimate of the lower bound of concurrence of bipartite bound entangled states in \(d_{1}\otimes d_{2}\)-dimensional system
Erschienen in: Quantum Information Processing | Ausgabe 3/2021
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Abstract
It is known that the witness operator is useful in the detection and quantification of entangled states. This motivated us for the construction of the family of witness operators that can detect many mixed entangled states. This family of witness operators is then used to estimate the lower bound of concurrence of the detected mixed entangled states. Our method of construction of witness operator is important in the sense that it will estimate a better lower bound of concurrence of the entangled states in arbitrary \(d_{1}\otimes d_{2} (d_{1}\le d_{2})\)-dimensional system compared to the lower bound of the concurrence given in Chen et al. (Phys Rev Lett 95:040504, 2005). We have shown the significance of our constructed witness operator by detecting many bound entangled states that are not detected by the earlier methods, and then, we use the expectation value of the witness operator to estimate the lower bound of the concurrence of those bound entangled states.