Fidelity for Mixed Quantum States

1994/12/01 by Richard Jozsa · 44 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications

paper · doi:10.1080/09500349414552171

openalex publication_date 1994/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We propose a definition of fidelity for mixed quantum states in terms of Uhlmann's ‘transition probability’ formula F(ϱ1, ϱ2) = trace [(√ϱ1ϱ2 × √ϱ1)1/2]2 and give new elementary proofs of its essential properties.

Citations

• Explicit computation of the Bures distance for density matrices

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• On the reversible extraction of classical information from a quantum source
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• Room-Temperature Quantum Bit Storage Exceeding 39 Minutes Using Ionized Donors in Silicon-28
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• Fidelity of quantum states [wikipedia]