Quantum extension of conditional probability
- 1 August 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 60 (2) , 893-897
- https://doi.org/10.1103/physreva.60.893
Abstract
We analyze properties of the quantum conditional amplitude operator [Phys. Rev. Lett. 79, 5194 (1997)], which plays a role similar to that of the conditional probability in classical information theory. The spectrum of the conditional operator that characterizes a quantum bipartite system is shown to be invariant under local unitary transformations and reflects its inseparability. More specifically, it is proven that the conditional amplitude operator of a separable state cannot have an eigenvalue exceeding 1, which results in a necessary condition for separability. A related separability criterion based on the non-negativity of the von Neumann conditional entropy is also exhibited.Keywords
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