An alternative quantum fidelity for mixed states of qudits

2008/07/11 by Xiaoguang Wang, Chang‐shui Yu, Chang-Shui Yu +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Axiom #Computer science #Fidelity #Hilbert space #Mathematical physics #Mathematics #Normalization (sociology) #Operator (biology) #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Theoretical physics #quant-ph

paper · pdf · doi:10.1016/j.physleta.2008.10.083

3 pages, no figs

arxiv created 2008/07/11 · openalex publication_date 2008/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give an alternative definition of quantum fidelity for two density operators on qudits in terms of the Hilbert-Schmidt inner product between them and their purity. It can be regarded as the well-defined operator fidelity for the two operators and satisfies all Jozsa's four axioms up to a normalization factor. One desire property is that it is not computationally demanding.

Citations

• Fidelity for Mixed Quantum States
• Explicit computation of the Bures distance for density matrices
• Dynamics of Loschmidt echoes and fidelity decay
• A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity
• Quantum coding

Cited by

• Entanglement-enhanced quantum metrology in a noisy environment
• Temporal mode transformations by sequential time and frequency phase modulation for applications in quantum information science