Fidelity induced distance measures for quantum states

Details Fidelity induced distance measures for quantum states Fidelity induced distance measures for quantum states

2008-08-07

arxiv.org/abs/0808.0984v3

Physics

Quantum Physics

8 pages

Scientific paper

Fidelity plays an important role in quantum information theory. In this letter, we introduce new metric of quantum states induced by fidelity, and connect it with the well-known trace metric, Sine metric and Bures metric for the qubit case. The metric character is also presented for the qudit (i.e., $d$-dimensional system) case. The CPT contractive property and joint convex property of the metric are also studied.

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