On the fidelity of mixed states of two qubits

Physics – Quantum Physics

Scientific paper

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Details

4 pages; part I of quant-ph/0203073v2; see quant-ph/0303007 for part II

Scientific paper

10.1103/PhysRevA.66.022307

We consider a single copy of a mixed state of two qubits and show how its
fidelity or maximal singlet fraction is related to the entanglement measures
concurrence and negativity. We characterize the extreme points of the convex
set of states with constant fidelity, and use this to prove tight lower and
upper bounds on the fidelity for a given amount of entanglement.

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