Fidelity induced distance measures for quantum states |
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| Authors: | Zhihao Ma Fu-Lin Zhang Jing-Ling Chen |
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| Institution: | aDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200240, PR China;bTheoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, PR China |
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| Abstract: | 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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| Keywords: | Fidelity Metric Quantum state |
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