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Quantum operation

In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This was first discussed as a general stochastic transformation for a density matrix by George Sudarshan in 1961. The quantum…

Measurement, Quantum measurement & Background

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Overview

Background

Definition

Kraus operators

Dynamics

Quantum measurement

Advanced semantic analysis

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Map overview Semantic statistics

Quantum operation

Nodes61
Edges60
Triples45
Avg. degree1.97
Density0.032787
Components1

How this topic connects Entity context

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Quantum operation

Top relations

measured by · 14
Quantum operation → Consider, Each, ESE, Here, Hilbert, I-E, In, Measurement, POVM, Projection-valued, PVM, Quantum, The, This
related to Statement of the theorem · 11
Quantum operation → Conversely, Hilbert, Kraus, Let, Phi, Sometimes, The, The Stinespring, Then, Theorem, There
related to Unitary equivalence · 10
Quantum operation → Choi, Cholesky, For, Hilbert, Kraus, Let, Phi, The, Then, Theorem
related to Kraus operators · 4
Quantum operation → Informally, Karl Kraus, Kraus, Phi
related to Definition · 3
Quantum operation → Hilbert, Mathematically, Recall
is a · 2
Quantum operation → linear, linear map Φ between spaces of trace class operators on Hilbert spaces H and G such thatIf S is a density operator

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Important terminology

quantum operation displaystyle state system density positive operators operations completely measurement evolution kraus matrices operator map time theorem maps also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quantum operationis alinear0.90text
Quantum operationis alinear map Φ between spaces of trace class operators on Hilbert spaces H and G such thatIf S is a density operator0.90text
measurement as a mapping from density states to density statesinstance ofIt has the advantage that it expresses operations0.80text
Quantum operationmeasured byQuantum0.60section
Quantum operationmeasured byThe0.60section
Quantum operationmeasured byHilbert0.60section
Quantum operationmeasured byPVM0.60section
Quantum operationmeasured byProjection-valued0.60section
Quantum operationmeasured byIn0.60section
Quantum operationmeasured byPOVM0.60section
Quantum operationmeasured byThis0.60section
Quantum operationmeasured byConsider0.60section

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