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A probability measure over classical microstates or a density operator over a quantum state space, chosen to represent preparation constraints and calculate expectation values.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
probability_distribution_to_statistical_ensemble
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
classical ensemble measure
Authored explanation
A classical statistical ensemble is formulated as a probability measure on a specified microstate space. Quantum ensembles instead use density operators, so the probability-distribution formulation is not the whole target concept.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.