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25 April 2024

» arxiv » quant-ph/0506154

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No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC
Indrani Chattopadhyay ; Sujit K. Choudhary ; Guruprasad Kar ; Samir Kunkri ; Debasis Sarkar ;
Date:	18 Jun 2005
Subject:	quant-ph
Abstract:	Non existence of Universal NOT gate for arbitrary quantum mechanical states is a fundamental constraint on the allowed operations performed on physical systems. The largest set of states that can be flipped by using a single NOT gate is the set of states lying on a great circle of the Bloch-sphere. In this paper, we show the impossibility of universal exact-flipping operation, first by using the fact that no faster than light communication is possible and then by using the principle of "non-increase of entanglement under LOCC". Interestingly, exact flipping of the states of any great circle does not violate these two principles, as expected.
Source:	arXiv, quant-ph/0506154
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