ensemble interpretation

E323046

The ensemble interpretation is a realist view of quantum mechanics that treats the wavefunction as describing statistical properties of large ensembles of similarly prepared systems rather than the state of an individual particle.

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ensemble interpretation canonical 1

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Statements (42)

Predicate Object
instanceOf interpretation of quantum mechanics ⓘ
realist interpretation of quantum mechanics ⓘ
accepts Born rule as a statistical law for ensembles ⓘ
violations of Bell inequalities as constraints on local hidden-variable models of ensembles ⓘ
addresses measurement problem in quantum mechanics as an apparent problem of single-system language ⓘ
aimsTo preserve classical logic for statements about individual systems by restricting quantum statements to ensembles ⓘ
alternativeName statistical interpretation ⓘ
appliesTo repeated experiments on similarly prepared quantum systems ⓘ
associatedWith Leslie E. Ballentine ⓘ
claims quantum probabilities are objective frequencies in ensembles ⓘ
compatibleWith Copenhagen interpretation on empirical predictions ⓘ
denies intrinsic indeterminism for individual systems at the level of the wavefunction ⓘ
necessity of hidden particle trajectories as in Bohmian mechanics ⓘ
necessity of many worlds to explain quantum statistics ⓘ
wavefunction as complete description of an individual system ⓘ
describes statistical properties of ensembles of similarly prepared quantum systems ⓘ
differsFrom Bohmian mechanics ⓘ
linked to: pilot-wave theory

Copenhagen interpretation on meaning of the wavefunction ⓘ
many-worlds interpretation ⓘ
objective collapse theories ⓘ
emphasizes measurement as selection of subensembles ⓘ
preparation procedures of quantum systems ⓘ
focusesOn frequentist interpretation of quantum probabilities ⓘ
holdsThat mixed states and pure states both have ensemble interpretations ⓘ
superposition describes ensemble statistics rather than physical coexistence of properties in a single system ⓘ
influenced later realist and statistical approaches to quantum theory ⓘ
influencedBy Albert Einstein ⓘ
interprets entangled states as correlations within ensembles ⓘ
isCompatibleWith standard quantum formalism ⓘ
isConsidered minimal realist interpretation of quantum mechanics ⓘ
isCriticizedFor ambiguity about ontology of individual systems ⓘ
not providing a detailed account of single measurement outcomes ⓘ
isDiscussedIn Leslie E. Ballentine’s book "Quantum Mechanics: A Modern Development" ⓘ
isNeutralOn underlying ontology of individual particles beyond ensemble statistics ⓘ
maintains quantum theory is fundamentally a theory of ensembles, not individuals ⓘ
regards wavefunction as a mathematical tool for computing ensemble statistics ⓘ
rejects wavefunction as a physical field in configuration space ⓘ
wavefunction collapse as a physical process for single systems ⓘ
respondsTo Einstein–Podolsky–Rosen (EPR) argument ⓘ
treats wavefunction as describing an ensemble ⓘ
views observables as statistical properties of ensembles ⓘ
wasDevelopedIn 20th century ⓘ

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Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.