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• Quantum_operation abstract "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. The quantum operation formalism describes not only unitary time evolution or symmetry transformations of isolated systems, but also the effects of measurement and transient interactions with an environment. In the context of quantum computation, a quantum operation is called a quantum channel. Note that some authors use the term "quantum operation" to refer specifically to completely positive (CP) and non-trace-increasing maps on the space of density matricies, and the term "quantum channel" to refer to the subset of those that are strictly trace-preserving.Quantum operations are formulated in terms of the density operator description of a quantum mechanical system. Rigorously, a quantum operation is a linear, completely positive map from the set of density operators into itself. Some quantum processes cannot be captured within the quantum operation formalism; in principle, the density matrix of a quantum system can undergo completely arbitrary time evolution. Quantum operations are generalized by quantum instruments, which capture the classical information obtained during measurements, in addition to the quantum information.".
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• Quantum_operation wikiPageRevisionID "672525726".
• Quantum_operation wikiPageWikiLink Ancilla_(quantum_computing).
• Quantum_operation wikiPageWikiLink Ancilla_bit.
• Quantum_operation wikiPageWikiLink C*-algebra.
• Quantum_operation wikiPageWikiLink Category:Quantum_mechanics.
• Quantum_operation wikiPageWikiLink Choi_matrix.
• Quantum_operation wikiPageWikiLink Chois_theorem_on_completely_positive_maps.
• Quantum_operation wikiPageWikiLink Cholesky_decomposition.
• Quantum_operation wikiPageWikiLink Cholesky_factorization.
• Quantum_operation wikiPageWikiLink Complemented_lattice.
• Quantum_operation wikiPageWikiLink Completely_positive.
• Quantum_operation wikiPageWikiLink Decoherence.
• Quantum_operation wikiPageWikiLink Density_matrix.
• Quantum_operation wikiPageWikiLink Density_operator.
• Quantum_operation wikiPageWikiLink Derivative.
• Quantum_operation wikiPageWikiLink Discrete_probability_distribution.
• Quantum_operation wikiPageWikiLink E._C._George_Sudarshan.
• Quantum_operation wikiPageWikiLink George_Sudarshan.
• Quantum_operation wikiPageWikiLink Group_action.
• Quantum_operation wikiPageWikiLink Hilbert_space.
• Quantum_operation wikiPageWikiLink Karl_Kraus_(physicist).
• Quantum_operation wikiPageWikiLink Lie_group.
• Quantum_operation wikiPageWikiLink Linear.
• Quantum_operation wikiPageWikiLink Linear_map.
• Quantum_operation wikiPageWikiLink Linearity.
• Quantum_operation wikiPageWikiLink Man-Duen_Choi.
• Quantum_operation wikiPageWikiLink Measurement_in_quantum_mechanics.
• Quantum_operation wikiPageWikiLink Mixed_state_(physics).
• Quantum_operation wikiPageWikiLink One-parameter_group.
• Quantum_operation wikiPageWikiLink Operational_definition.
• Quantum_operation wikiPageWikiLink Orthocomplemented_lattice.
• Quantum_operation wikiPageWikiLink Orthographic_projection.
• Quantum_operation wikiPageWikiLink Orthonormal.
• Quantum_operation wikiPageWikiLink Orthonormality.
• Quantum_operation wikiPageWikiLink POVM.
• Quantum_operation wikiPageWikiLink Probability_distribution.
• Quantum_operation wikiPageWikiLink Projection-valued_measure.
• Quantum_operation wikiPageWikiLink Projection_(linear_algebra).
• Quantum_operation wikiPageWikiLink Projection_operator.
• Quantum_operation wikiPageWikiLink Projective_representation.
• Quantum_operation wikiPageWikiLink Quantum_channel.
• Quantum_operation wikiPageWikiLink Quantum_computation.
• Quantum_operation wikiPageWikiLink Quantum_computing.
• Quantum_operation wikiPageWikiLink Quantum_decoherence.
• Quantum_operation wikiPageWikiLink Quantum_dynamical_semigroup.
• Quantum_operation wikiPageWikiLink Quantum_information.
• Quantum_operation wikiPageWikiLink Quantum_information_processing.
• Quantum_operation wikiPageWikiLink Quantum_information_science.
• Quantum_operation wikiPageWikiLink Quantum_instrument.
• Quantum_operation wikiPageWikiLink Quantum_logic.
• Quantum_operation wikiPageWikiLink Quantum_measurement.
• Quantum_operation wikiPageWikiLink Quantum_mechanics.
• Quantum_operation wikiPageWikiLink Quantum_process.
• Quantum_operation wikiPageWikiLink Quantum_state.
• Quantum_operation wikiPageWikiLink Schrödinger_equation.
• Quantum_operation wikiPageWikiLink Schrödinger_picture.
• Quantum_operation wikiPageWikiLink Self-adjoint_operator.
• Quantum_operation wikiPageWikiLink Special_relativity.
• Quantum_operation wikiPageWikiLink Statistical_ensemble.
• Quantum_operation wikiPageWikiLink Statistical_ensemble_(mathematical_physics).
• Quantum_operation wikiPageWikiLink Stinespring_factorization_theorem.
• Quantum_operation wikiPageWikiLink Sub-Markovian.
• Quantum_operation wikiPageWikiLink Time_evolution.
• Quantum_operation wikiPageWikiLink Trace_class.
• Quantum_operation wikiPageWikiLinkText "Quantum operation".
• Quantum_operation wikiPageWikiLinkText "Quantum operation#Kraus operators".
• Quantum_operation wikiPageWikiLinkText "quantum operation".
• Quantum_operation wikiPageWikiLinkText "trace-preserving CP maps".
• Quantum_operation hasPhotoCollection Quantum_operation.
• Quantum_operation subject Category:Quantum_mechanics.
• Quantum_operation hypernym Formalism.
• Quantum_operation type Article.
• Quantum_operation type ProgrammingLanguage.
• Quantum_operation type Article.
• Quantum_operation type Mechanic.
• Quantum_operation type Physic.
• Quantum_operation comment "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.".
• Quantum_operation label "Quantum operation".
• Quantum_operation sameAs m.0313l9.
• Quantum_operation sameAs Q7269080.
• Quantum_operation sameAs Q7269080.
• Quantum_operation wasDerivedFrom Quantum_operation?oldid=672525726.
• Quantum_operation isPrimaryTopicOf Quantum_operation.