Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/POVM> ?p ?o }
- POVM abstract "In functional analysis and quantum measurement theory, a positive-operator valued measure (POVM) is a measure whose values are non-negative self-adjoint operators on a Hilbert space, and whose integral is the identity operator. It is the most general formulation of a measurement in the theory of quantum physics. The need for the POVM formalism arises from the fact that projective measurements on a larger system, by which we mean measurements that are performed mathematically by a projection-valued measure (PVM), will act on a subsystem in ways that cannot be described by a PVM on the subsystem alone. POVMs are used in the field of quantum information.In rough analogy, a POVM is to a PVM what a density matrix is to a pure state. Density matrices are needed to specify the state of a subsystem of a larger system, even when the larger system is in a pure state (see purification of quantum state); analogously, POVMs on a physical system are used to describe the effect of a projective measurement performed on a larger system.Historically, the term probability-operator measure (POM) has been used as a synonym for POVM, although this usage is now rare.".
- POVM wikiPageExternalLink 0010114v1.
- POVM wikiPageExternalLink lecture.
- POVM wikiPageID "3793084".
- POVM wikiPageLength "21032".
- POVM wikiPageOutDegree "58".
- POVM wikiPageRevisionID "660642371".
- POVM wikiPageWikiLink Alexander_Holevo.
- POVM wikiPageWikiLink Ancilla_(quantum_computing).
- POVM wikiPageWikiLink Ancilla_bit.
- POVM wikiPageWikiLink Born_rule.
- POVM wikiPageWikiLink Category:Quantum_information_theory.
- POVM wikiPageWikiLink Category:Quantum_measurement.
- POVM wikiPageWikiLink Countably_additive.
- POVM wikiPageWikiLink Density_matrix.
- POVM wikiPageWikiLink Direct_sum_of_modules.
- POVM wikiPageWikiLink File:State_discrimination_POVM.png.
- POVM wikiPageWikiLink File:State_discrimination_proj.png.
- POVM wikiPageWikiLink Functional_analysis.
- POVM wikiPageWikiLink Hermitian_operator.
- POVM wikiPageWikiLink Hilbert_space.
- POVM wikiPageWikiLink Mathematical_formulation_of_quantum_mechanics.
- POVM wikiPageWikiLink Measurable_space.
- POVM wikiPageWikiLink Measure_(mathematics).
- POVM wikiPageWikiLink Measurement_in_quantum_mechanics.
- POVM wikiPageWikiLink Naimarks_dilation_theorem.
- POVM wikiPageWikiLink Operator_(mathematics).
- POVM wikiPageWikiLink Photon.
- POVM wikiPageWikiLink Photon_polarization.
- POVM wikiPageWikiLink Positive-definite_function.
- POVM wikiPageWikiLink Projection-valued_measure.
- POVM wikiPageWikiLink Pure_state.
- POVM wikiPageWikiLink Purification_of_quantum_state.
- POVM wikiPageWikiLink Purity_(quantum_mechanics).
- POVM wikiPageWikiLink Quantum_Zeno_effect.
- POVM wikiPageWikiLink Quantum_coin-flipping.
- POVM wikiPageWikiLink Quantum_cryptography.
- POVM wikiPageWikiLink Quantum_indeterminacy.
- POVM wikiPageWikiLink Quantum_information.
- POVM wikiPageWikiLink Quantum_logic.
- POVM wikiPageWikiLink Quantum_measurement.
- POVM wikiPageWikiLink Quantum_money.
- POVM wikiPageWikiLink Quantum_operation.
- POVM wikiPageWikiLink Quantum_state.
- POVM wikiPageWikiLink Quantum_t-design.
- POVM wikiPageWikiLink Quantum_t-designs.
- POVM wikiPageWikiLink Quantum_tomography.
- POVM wikiPageWikiLink SIC-POVM.
- POVM wikiPageWikiLink Self-adjoint_operator.
- POVM wikiPageWikiLink Sigma-algebra.
- POVM wikiPageWikiLink Sigma_additivity.
- POVM wikiPageWikiLink Sigma_algebra.
- POVM wikiPageWikiLink Spin_(physics).
- POVM wikiPageWikiLink Transverse_mode.
- POVM wikiPageWikiLink Uncertainty_principle.
- POVM wikiPageWikiLink Unitary_transformation.
- POVM wikiPageWikiLink Vector_measure.
- POVM wikiPageWikiLinkText "Generalized Statistical Model of Quantum Mechanics".
- POVM wikiPageWikiLinkText "Generalized measurement".
- POVM wikiPageWikiLinkText "POVM".
- POVM wikiPageWikiLinkText "positive operator valued measures".
- POVM wikiPageWikiLinkText "positive-operator valued measure (POVM)".
- POVM date "May 2015".
- POVM date "November 2013".
- POVM hasPhotoCollection POVM.
- POVM reason "An expectation value of an observable can be interpreted as a probability that an event "occurs" only for a projection. Is F_i a projection? If so, please say so.".
- POVM reason "Context tells us that this term means "measurement done by PVM", but it needs a link.".
- POVM reason "How is H-perp chosen? What's its dimension? I assume its perp to H but please say that explicitly.".
- POVM reason "I guess that pi_i span the lifted space, but can we say this explicitly?".
- POVM reason "Is this a technical term or an assessment of the quality of the measurement?".
- POVM reason "It would be nice to see this spelled out explicitly. Are there 2 or 4 optical modes in total? Do we have to use a circular polarizer or 1/4 wave plate?".
- POVM reason "Leap of logic: in previous paragraph, M arises because we intentionally use it to entangle -- i.e. the suggestion is that M is known and consciously chosen by experimenter. But this sentence suggests that M is being solved-for. So is M known or unknown?".
- POVM reason "Not immediately obviious, needs elucidation. Its sort-of-obvious if the measurement is Tr which hints why both M and M-daggger are needed. But unless one makes this leap, its just not obvious.".
- POVM reason "OK, the person doing the measurement cannot infer how the state was prepared. Makes sense. Is that what the previous paragraph is trying to say?".
- POVM reason "Per talk page, its suggested that naimark's thm is not needed for the finite-dimensional case, , that its really a deeper result about inf dim spaces. Can we clarify the differences between finite and infinite-dim spaces?".
- POVM reason "The definition given here is consistent with the PVM article, i.e. taking X to be a space fibered with Hilbert spaces as fibers. Fine, great. But the rest of the article seems to assume that X is a single point only; there is no further mention of the space X, or the sigma algebra. Its almost like two different concepts: one for operator-valued QM measurements on a single Hilbert space, and another dealing with fibrations. That's schizophrenic, and needs clarification. Also, the rest of article seems to assume finite-dim Hilbert space.".
- POVM reason "What's M_i? I guess its an operator acting on the subspace A only?".
- POVM reason "last paragraph talked about pure states, now I guess rho is a mixed state? Can we use uniform notation throughout?".
- POVM reason "lifting should link to some article about fibered spaces, but I can't find anything appropriate. The article on projection-valued measures has a more precise treatment of these issues.".
- POVM reason "oh, OK, cart-before-horse. anyway, its not an infinite number of measurement aparati, right? Its an infinite number of choices that can be made for M i.e. for entangling with ancilla, and not for measuring...!?".
- POVM reason "the mathematics is introduced in a haphazard way, with many variables being undefined or unquantified. The problems are documented by copious in-line notes. The dimension vacillates between finite and infinite".
- POVM reason "what is Pi-hat? what does subscript n mean? Why the hat? Notation used here is not consistent with rest of article. See talk page for more.".
- POVM reason "what is Theta-hat? what does subscript m mean? Why the hat? See talk page for more,".
- POVM wikiPageUsesTemplate Template:Clarify.
- POVM wikiPageUsesTemplate Template:Confusing_section.
- POVM wikiPageUsesTemplate Template:Main.
- POVM wikiPageUsesTemplate Template:Reflist.
- POVM wikiPageUsesTemplate Template:What.
- POVM subject Category:Quantum_information_theory.
- POVM subject Category:Quantum_measurement.
- POVM hypernym Measure.
- POVM type Article.
- POVM type Work.
- POVM type Article.
- POVM type Mechanic.
- POVM comment "In functional analysis and quantum measurement theory, a positive-operator valued measure (POVM) is a measure whose values are non-negative self-adjoint operators on a Hilbert space, and whose integral is the identity operator. It is the most general formulation of a measurement in the theory of quantum physics.".
- POVM label "POVM".
- POVM sameAs Positive_Operator_Valued_Probability_Measure.
- POVM sameAs Misura_a_valori_operatoriali_positivi.
- POVM sameAs m.0b08ct.