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Purity (quantum mechanics) : ウィキペディア英語版
Purity (quantum mechanics)

In quantum mechanics, and especially quantum information theory, the purity of a quantum state is a scalar defined as
:\gamma \, \equiv \, \mbox(\rho^2) \,
where \rho \, is the density matrix of the state. The purity can range between unity, corresponding to a completely pure state, and 1/d \,, corresponding to a completely mixed state. (Here, d \, is the dimension of the density matrix.)
Purity is trivially related to the Linear entropy S_L \, of a state by
:\gamma = 1-S_L \, .
== Projectivity of a measurement ==

For a quantum measurement, the projectivity〔Taoufik Amri, Quantum behavior of measurement apparatus, (

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