Natural Metric for Quantum Information Theory

Natural Metric for Quantum Information Theory

We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are a...

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Veröffentlicht in:arXiv.org 2009-04
Hauptverfasser: Lamberti, P W, Portesi, M, Sparacino, J
Format: Artikel
Sprache:eng
Schlagworte:
Entropy
Information theory
Physics - Quantum Physics
Quantum phenomena
Quantum theory
Qubits (quantum computing)
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Beschreibung
Zusammenfassung:We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are analyzed and its relation with other distances is investigated. As an illustrative application, the proposed metric is evaluated for 1-qubit mixed states.
ISSN:2331-8422
DOI:10.48550/arxiv.0807.0583