# nLab positive-operator-valued measure

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## Surveys, textbooks and lecture notes

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• Axiomatizations

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• Tools

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• Structural phenomena

• Types of quantum field thories

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# Contents

## Idea

Given a measurable space $X$ and a Hilbert space $H$, then a positive-operator–valued measure (POVM) is essentially a probability measure on $X$ with values in the positive operators on $H$.

Any such induces a quantum operation and these are precisely the quantum operations which encode quantum measurement.

## References

Last revised on October 1, 2014 at 06:35:38. See the history of this page for a list of all contributions to it.