Bound on trace distance based on superfidelity

Abstract

We provide a bound for the trace distance between two quantum states. The lower bound is based on the superfidelity, which provides the upper bound on quantum fidelity. One of the advantages of the presented bound is that it can be estimated using a simple measurement procedure. We also compare this bound with the one provided in terms of fidelity.

4 pages, 3 figures

References in corpus (4)

• The Quantum Chernoff Bound
• Direct measurement of non-linear properties of bipartite quantum states
• Alternative fidelity measure for quantum states
• Quantum state discrimination: a geometric approach

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