positive-operator-valued measure
measure whose values are positive semi-definite operators on a Hilbert space
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positive-operator-valued measure
Summary
positive-operator-valued measure ranks in the top 2% of general entities by monthly Wikipedia readership (185 views/month).[1]
Key Facts
- positive-operator-valued measure's subclass of is recorded as function[2].
- positive-operator-valued measure's Freebase ID is recorded as /m/0b08ct[3].
- positive-operator-valued measure's short name is recorded as {'lang': 'en', 'text': 'POVM'}[4].
- positive-operator-valued measure's defining formula is recorded as \begin{aligned}&\pi\colon M\to B(H)\&\forall E\in M\colon\pi(E)=\pi(E)^\dagger\&\pi(X)=\operatorname{id}H\&\pi(\varnothing)=0_H\&\forall E\in M^{\mathbb N},x\in H\colon\left(\forall i\ne j\colon E_i\cap E_j=\varnothing\right)\implies\left\lang\pi\left(\bigcup{i=0}^\infty E_i\right)x,x\right\rang=\sum_{i=0}^\infty\lang\pi(E_i)x,x\rang\ge0\end{aligned}[5].
- positive-operator-valued measure's nLab ID is recorded as positive-operator-valued measure[6].
- positive-operator-valued measure's maintained by WikiProject is recorded as WikiProject Mathematics[7].
- positive-operator-valued measure's Microsoft Academic ID is recorded as 179957908[8].
- positive-operator-valued measure's in defining formula is recorded as (X,M)[9].
- positive-operator-valued measure's in defining formula is recorded as X[10].
- positive-operator-valued measure's in defining formula is recorded as M[11].
- positive-operator-valued measure's in defining formula is recorded as H[12].
- positive-operator-valued measure's in defining formula is recorded as B(H)[13].
- positive-operator-valued measure's in defining formula is recorded as \pi[14].
- positive-operator-valued measure's in defining formula is recorded as ^\dagger[15].
- positive-operator-valued measure's in defining formula is recorded as \operatorname{id}_H[16].
- positive-operator-valued measure's in defining formula is recorded as 0_H[17].
- positive-operator-valued measure's in defining formula is recorded as \lang,\rang[18].
- positive-operator-valued measure's in defining formula is recorded as \varnothing[19].
- positive-operator-valued measure's OpenAlex ID is recorded as C179957908[20].
Why It Matters
positive-operator-valued measure ranks in the top 2% of general entities by monthly Wikipedia readership (185 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[21] It is known by 18 alternative names across languages and contexts.[22]