Geometric interpretation for A-fidelity and its relation with Bures fidelity

Abstract

A geometric interpretation for the A-fidelity between two states of a qubit system is presented, which leads to an upper bound of the Bures fidelity. The metrics defined based on the A-fidelity are studied by numerical method. An alternative generalization of the A-fidelity, which has the same geometric picture, to a $N$-state quantum system is also discussed.

4 pages, 1 figure. Phys. Rev. A

References in corpus (6)

• Quantifying Entanglement
• Distance measures to compare real and ideal quantum processes
• Noncommuting mixed states cannot be broadcast
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• Some geometric interpretations of quantum fidelity
• Fidelity between a bipartite state and another one undergoing local unitary dynamics
• Quantum noise generated by local random Hamiltonians
• A fidelity measure for quantum states based on the matrix geometric mean
• Quantum computation at the edge of a disordered Kitaev honeycomb lattice