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Partial trace

In linear algebra and functional analysis, the partial trace is a generalization of the trace. Whereas the trace is a scalar-valued function on operators, the partial trace is an operator-valued function. The partial trace has applications in quantum information and decoherence which is relevant for quantum measurement and thereby to the decoherent…

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Details

Partial trace for operators on Hilbert spaces

Partial trace and invariant integration

Partial trace as a quantum operation

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Partial trace

Nodes41
Edges40
Triples57
Avg. degree1.95
Density0.04878
Components1

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Partial trace

Top relations

related to References · 15
Partial trace → Advanced Linear, Daniel, Electronic Journal, Erika, Filipiak, ISBN, Johnston, Katarzyna, Klein, Linear Algebra, Matrix Algebra, Nathaniel, Springer, The, Vojtková
related to Partial trace as a quantum operation · 8
Partial trace → Consider, Hilbert, However, In, Let, The, To, Tr
related to Comparison with classical case · 7
Partial trace → Borel, Markov, Riesz, Suppose, The, These, Thus
related to Partial trace and invariant integration · 7
Partial trace → Haar, Hilbert, In, Suitably, Suppose, Then, Theorem
related to Category theoretic notion · 6
Partial trace → Hom-sets, It, Joyal, Street, Traced, Verity's
related to Details · 6
Partial trace → For, It, Suppose, Tensor Product, The, Tr
related to Partial trace for operators on Hilbert spaces · 4
Partial trace → Hilbert, Now, Suppose, The
is a · 3
Partial trace → generalization of the trace, operator-valued function, quantum mechanical equivalent of this operation
related to Invariant definition · 1
Partial trace → The

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Important terminology

trace partial displaystyle operators otimes operator state spaces hilbert quantum matrix linear operatorname system rho suppose basis space tr defined

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Partial traceis ageneralization of the trace0.90text
Partial traceis aoperator-valued function0.90text
Partial traceis aquantum mechanical equivalent of this operation0.90text
Partial tracerelated to Category theoretic notionIt0.60section
Partial tracerelated to Category theoretic notionJoyal0.60section
Partial tracerelated to Category theoretic notionStreet0.60section
Partial tracerelated to Category theoretic notionVerity's0.60section
Partial tracerelated to Category theoretic notionTraced0.60section
Partial tracerelated to Category theoretic notionHom-sets0.60section
Partial tracerelated to Comparison with classical caseSuppose0.60section
Partial tracerelated to Comparison with classical caseThe0.60section
Partial tracerelated to Comparison with classical caseThese0.60section

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