词条 | No-broadcast theorem |
释义 |
The no-cloning theorem says that it is impossible to create two copies of an unknown state given a single copy of the state. The no-broadcast theorem says that, given a single copy of a state drawn from a restricted non-commuting set, it is impossible to create a state such that one part of it is the same as the original state and the other part is also the same as the original state. That is, given an initial state it is impossible to create a state in a Hilbert space such that the partial trace and . Remarkably, the theorem does not hold if more than one copy of the initial state are provided: for example, broadcasting six copies starting from four copies of the original state is allowed, even if the states are drawn from a non-commuting set. The purity of the state can even be increased in the process, a phenomenon known as superbroadcasting.[1] See also
References1. ^[https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.060503 Superbroadcasting of Mixed States], G. M. D'Ariano, C. Macchiavello, and P. Perinotti, Phys. Rev. Lett. 95, 060503 (2005). 2. ^Quantum no-hiding theorem experimentally confirmed for first time. Mar 07, 2011 by Lisa Zyga.
2 : Quantum information science|Physics theorems |
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