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arxiv: 0812.3016 · v4 · submitted 2008-12-16 · 🪐 quant-ph

Metrics Of Quantum States

classification 🪐 quant-ph
keywords metricsquantumstatesmetricapplicationburescontractiveconvex
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In this paper, we study metrics of quantum states. These metrics are natural generalization of trace metric and Bures metric. We will prove that the metrics are joint convex and contractive under quantum operation. Our results can find important application in studying the geometry of quantum states and is useful to detect entanglement.

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