Algebra for generalised quantum observables

Physics – Quantum Physics

Scientific paper

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Latex, 13 pages (notation improved, refs added to recent applications)

Scientific paper

Generalised observables (POM observables) are necessary for representing all
possible measurements on a quantum system. Useful algebraic operations such as
addition and multiplication are defined for these observables, recovering many
advantages of the more restrictive Hermitian operator formalism. Examples
include new uncertainty relations and metrics, and optical phase applications.

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