Coexistence of Hilbert space effects and orthogonality

Anil Kumar Karn

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arXiv · 2411.08445

Coexistence of Hilbert space effects and orthogonality

Anil Kumar Karn

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Abstract

In this paper, we show that every pair of absolutely compatible Hilbert space effects are coexistent and exhibit a partial orthogonality property. We introduce the notion of partially ortho-coexistence. We generalize absolute compatibility to obtain more examples of partially ortho-coexistent pairs and introduce the notion of generalized compatibility. In the case of $\mathbb{M}_2$, we discuss a geometric behaviour of the generalized compatibility.

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Anil Kumar Karn. 2024-11-13. Coexistence of Hilbert space effects and orthogonality. https://arxiv.org/abs/2411.08445

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