Operationally Invariant Measure of the Distance between Quantum States by Complementary Measurements

Details Operationally Invariant Measure of the Distance between Quantum States by Complementary Measurements Operationally Invariant Measure of the Distance between Quantum States by Complementary Measurements

2003-03-18

arxiv.org/abs/quant-ph/0303111v2

Phys. Rev. Lett. 91, 087902 (2003)

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.91.087902

We propose an operational measure of distance of two quantum states, which conversely tells us their closeness. This is defined as a sum of differences in partial knowledge over a complete set of mutually complementary measurements for the two states. It is shown that the measure is operationally invariant and it is equivalent to the Hilbert-Schmidt distance. The operational measure of distance provides a remarkable interpretation of the information distance between quantum states.

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