About: Fidelity of quantum states

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In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space.

Attributes	Values
rdf:type	software
rdfs:label	Fidelität (de) Fidelity of quantum states (en) Fidelidade dos estados quânticos (pt)
rdfs:comment	Die Fidelität (auch: Güte; englisch fidelity ‚Treue‘) ist in der Quanteninformatik ein Maß für die Ähnlichkeit von zwei Zuständen. Die Fidelität kann Werte zwischen 0 und 1 annehmen. Für sind die beiden Zustände identisch, für so verschieden, dass sie durch eine quantenmechanische Messung mit Sicherheit voneinander unterscheidbar sind. (de) Fidelidade dos estados quânticos, ou função de fidelidade, ou ainda função quântica de fidelidade, em Teoria de informação quântica, é u’a medida do "fechamento" (em inglês, closeness) de/entre dois estados quânticos. Não é medida no espaço de matrizes densidade. Costuma, quando não há possibilidade de confusão, ou se o assunto é tratado especifica e restritamente no domínio físico-químico quântico, ser reportada apenas por fidelidade, a bem da simplicidade. (pt) In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space. (en)
dcterms:subject	Quantum information science
Wikipage page ID	5698171 (xsd:integer)
Wikipage revision ID	1059082307 (xsd:integer)
Link from a Wikipage to another Wikipage	Probability distribution Quantum information theory Quantum mechanics Quantum state Qubit Definiteness of a matrix Unitary operator Unitary transformation (quantum mechanics) Commutator Matrix norm Measure (mathematics) Operator (mathematics) POVM Statistical distance Eigenvector Angle Singular value decomposition Completely positive map Density matrix Fubini–Study metric Orthonormal basis Projection-valued measure Cauchy–Schwarz inequality Triangle inequality Absolute value Euclidean space Hilbert–Schmidt operator Purification of quantum state Purity (quantum mechanics) Random variable Quantum information science Quantum operation Marginal distribution Bures metric Polar decomposition Positive-definite matrix Spectral theorem Classical physics Pure state Inner product Categorical variable Metric (mathematics) Hermitian operator Trace distance Simultaneously diagonalizable Bhattacharyya coefficient Joint distribution Mixed state (physics) Matrix factorization Matrix square root Singular values
Link from a Wikipage to an external page	https://quantiki.org/wiki/fidelity
sameAs	Fidelity of quantum states Fidelity of quantum states Fidelity of quantum states Fidelity of quantum states Fidelity of quantum states
dbp:wikiPageUsesTemplate	dbt:Frac dbt:Short_description
has abstract	Die Fidelität (auch: Güte; englisch fidelity ‚Treue‘) ist in der Quanteninformatik ein Maß für die Ähnlichkeit von zwei Zuständen. Die Fidelität kann Werte zwischen 0 und 1 annehmen. Für sind die beiden Zustände identisch, für so verschieden, dass sie durch eine quantenmechanische Messung mit Sicherheit voneinander unterscheidbar sind. (de) In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space. Given two density operators and , the fidelity is generally defined as the quantity .In the special case where and represent pure quantum states, namely, and , the definition reduces to the squared overlap between the states: .While not obvious from the general definition, the fidelity is symmetric: . (en) Fidelidade dos estados quânticos, ou função de fidelidade, ou ainda função quântica de fidelidade, em Teoria de informação quântica, é u’a medida do "fechamento" (em inglês, closeness) de/entre dois estados quânticos. Não é medida no espaço de matrizes densidade. Costuma, quando não há possibilidade de confusão, ou se o assunto é tratado especifica e restritamente no domínio físico-químico quântico, ser reportada apenas por fidelidade, a bem da simplicidade. (pt)
gold:hypernym	Measure
prov:wasDerivedFrom	wikipedia-en:Fidelity_of_quantum_states?oldid=1059082307&ns=0
page length (characters) of wiki page	20807 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fidelity_of_quantum_states
is Link from a Wikipage to another Wikipage of	Quantum logic gate Entanglement distillation Bhattacharyya distance Richard Jozsa Measurement in quantum mechanics Quantum Fisher information Quantum cloning Fuchs-van de Graaf inequalities Fuchs-van de Graaf inequality Glossary of quantum computing Min-entropy Spekkens toy model Cauchy–Schwarz inequality Quantum channel Quantum error correction Fidelity (disambiguation) Dicke model Bures metric Classical shadow Paweł Horodecki Trapped ion quantum computer Trace distance Randomized benchmarking Fuchs–van de Graaf inequalities

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