Explicit computation of the Bures distance for density matrices
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The Bures metric for two infinitesimally close density operators is given by the Braunstein-Caves expression.
“According to Braunstein and Caves, the Bures metric for two infinitesimally close density operators, ρ ′ = ρ + dρ , is [37] (see also Ref. [38]),”
From Energy–time uncertainty relation for driven quantum systems (2013) · cites this paper as [38]
Theorem 1 gives an explicit formula for the Bures metric for both singular and non-singular density matrices, generalizing the result of [18] by including singular matrices.
“Theorem 1 gives an explicit formula for the Bures metric for both singular and non-singular density matrices, and it generalizes the result of [18] by including singular matrices.”
From Discontinuities of the quantum Fisher information and the Bures metric (2017) · cites this paper as [18]
The quantum Fisher information and the Bures metric are the same when two infinitesimally close states being compared are pure, or when both are described by a full rank density matrix.
“It has been shown that these quantities are the same when two infinitesimally close states that are being compared are pure [17], or when they are both described by a full rank density matrix [1, 18].”
From Discontinuities of the quantum Fisher information and the Bures metric (2017) · cites this paper as [18]
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- Authors
- Hübner, M.
- Affiliations
- Leipzig University (DE)
- Corresponding author
- Hübner, Matthias
- ORCID
- Hübner, Matthias
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1992-03
- Volume
- 163
- Issue
- 4
- Pages
- 239-242
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2024974438
- Cited by
- 323
- References
- 6
- Citations by year
- 2026: 11 · 2025: 16 · 2024: 15 · 2023: 18 · 2022: 6 · 2021: 16 · 2020: 17 · 2019: 14 · 2018: 18 · 2017: 10 · 2016: 13 · 2015: 11 · 2014: 11 · 2013: 11 · 2012: 6
- FWCI
- 4.21
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Inequalities and Applications
- Keywords
- Bures metric, Bures distance, density matrix, quantum information geometry, explicit formula
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