No-cloning theorem for a single POVM

Authors:
Alexey E. Rastegin
Affiliations:
Department of Theoretical Physics, Irkutsk State University, Irkutsk, Russia
Venue:
Quantum Information & Computation
Year:
2010

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Abstract

Cloning of statistics of general quantum measurement is discussed. The presented ap-proach is connected with the known concept of observable cloning, but differs in someessential respects. The reasons are illustrated within some variety of the B92 protocol.As it is shown, there exist pairs of states such that the perfect cloning of given POVM isnot possible. We discuss some properties of these intolerant sets. An example allowingthe perfect cloning is presented as well.