Impossibility of Exact Flipping of Three Arbitrary Quantum States Via Incomparability

Abstract

We present here a scheme that relates seemingly two different kinds of physical impossibilities of quantum information processing. We derive, exact flipping of three arbitrary states not lying in one great circle is not possible with certainty, by using the existence of incomparable states which are not interconvertible deterministically by local operations and classical communications. In contrast, considering the non-existence of exact universal flipper, the incomparability of a pair of bipartite pure entangled states can be established.

arXiv comment9 pages, no figures, replaced with accepted version, Phys. Rev. A

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Cited by in corpus (5)

• No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC
• Character of Locally Inequivalent Classes of States and Entropy of Entanglement
• No-Cloning and No-Deleting theorems through the existence of Incomparable states under LOCC
• Character of superposed states under deterministic LOCC
• Entanglement - A Queer In The World Of Quantum : Some Perspectives