No-cloning theorem for a single POVM

Details No-cloning theorem for a single POVM No-cloning theorem for a single POVM

2009-07-27

arxiv.org/abs/0907.4598v3

Quantum Information and Computation, Vol. 10, 0971-0980 (2010)

Physics

Quantum Physics

7 pages, one figure. Typo errors are corrected. The bibliography is extended. Minor grammatical and explanatory changes

Scientific paper

Cloning of statistics of general quantum measurement is discussed. The presented approach is connected with the known concept of observable cloning, but differs in some essential respects. The reasons are illustrated within some variety of B92 protocol. As it is shown, there exist pairs of states such that the perfect cloning of given POVM is not possible. We discuss some properties of these intolerant sets. An example allowing the perfect cloning is presented as well.

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