A meme indicating how various objects in quantum information (pretty good measurement, Petz recovery map, Leifer-Spekkens state over time, and others) are shown to be fidelity/Bures projections in our article.
New preprint out with @marcotomamichel.bsky.social !
Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications
scirate.com/arxiv/2602.1...
We derive simple closed-form solutions for fidelity / Bures/purified distance projections to various sets of interest.
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Quantum Toolbox (15): Relating Relative Entropy and Fidelity (1/6):
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15. Relating Relative Entropy and Fidelity: bsky.app/profile/qit-...
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Quantum Toolbox (15): Relating Relative Entropy and Fidelity (1/6):
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14. Quantum Pinsker Inequality: bsky.app/profile/qit-...
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Quantum Toolbox (14): Quantum Pinsker Inequality (1/6)
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Quantum Toolbox (13): Matrix Geometric Mean (1/7)
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13. Matrix Geometric Mean: bsky.app/profile/qit-...
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Quantum Toolbox (13): Matrix Geometric Mean (1/7)
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Indeed, or the (exponential of the) Rényi divergence of order 1/2, as we also like to call it.
05.11.2025 12:41
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12. Bretagnolle-Huber Inequality: bsky.app/profile/qit-...
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