No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC

Details No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC No-Flipping as a consequence of No-Signalling and Non-increase of Entanglement under LOCC

2005-06-18

arxiv.org/abs/quant-ph/0506154v3

Phys. Lett. A, 351, 384-387 (2006)

Physics

Quantum Physics

8 pages, published version

Scientific paper

10.1016/j.physleta.2005.11.030

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.

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