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SAO/NASA ADS arXiv e-prints Abstract Service Title: Entanglement A Queer In The World Of Quantum : Some Perspectives Authors: Chattopadhyay, Indrani Publication: eprint arXiv: Publication Date: Origin: ARXIV Keywords: Quantum Physics Comment:. Thesis, Latex Bibliographic Code: Ladies looking nsa Waucoma Iowa 52171 Abstract The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of bipartite incomparable pair of states. We have found some schemes for local rmation of one pure bipartite state to another, incomparable in nature, by exploiting free unpreserved entanglement. Also, we observed that different incomparable pair of states in $3\times 3$ co-operate with each other to cross the barrier of incomparability. Our next goal was to probe critiy the roots of the existence of incomparable states. We have succeeded in connecting incomparability with some famous no-go theorems of quantum mechanics. We have established it with no-flipping principle, general anti-unitary operators and lastly with inner product preserving operations. Thus we are able to pose incomparability as a good detector of some non-physical operations. In the next part, we provide a new class of multipartite bound entanglement in mixed state level. The class of states are activable bound entangled. There are exactly orthogonal activable bound entangled states in any even number of qubit system. They have some interesting features like correlation, permutation symmetry, local Pauli connection, non-compatibility, etc. Apart from those properties, the class of bound entangled states have the remarkable feature of local indistinguishability in quantum systems.
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