Sequentially independent effects (Q2781260)
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scientific article; zbMATH DE number 1721007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequentially independent effects |
scientific article; zbMATH DE number 1721007 |
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Sequentially independent effects (English)
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19 March 2002
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sequential independence
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measurements
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effects
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positive operators
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quantum mechanics
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In quantum mechanic, an effect is represented by an operator \(E\) on Hilbert space such that \(0\leq E\leq I\). The effects \(E_1,\dots,E_n\) are called sequentially independent if the results of any sequential measurement of \(E_1, \dots,E_n\) does not depend on the order, in which they are measured. The authors show that two effects are sequentially independent if and only if the operators commute. The authors also characterize the sequentially independent three effects.
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