Structural Characterization And Condition For Measurement Statistics Preservation Of A Unital Quantum Operation

Details Structural Characterization And Condition For Measurement Statistics Preservation Of A Unital Quantum Operation Structural Characterization And Condition For Measurement Statistics Preservation Of A Unital Quantum Operation

2011-12-06

arxiv.org/abs/1112.1137v1

Physics

Quantum Physics

6 pages in revtex 4.1

Scientific paper

We prove that the problem of structurally characterizing a unital quantum operation $\phi$ that acts on finite-dimensional quantum states can be reduced to the problem of finding certain irreducible invariant subspaces of $\phi$. And the latter can be further reduced to the problem of simultaneous diagonalization of the Kraus operators associated with $\phi$. Our result can be used to completely characterize the kind of quantum states that are fixed by $\phi$. Besides, it enables us to determine what kind of measurement statistics is preserved by a unital quantum operation.

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