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Coexistence of qubit effects

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JournalQuantum Information Processing
DatePublished - Apr 2010
Issue number2
Volume9
Number of pages26
Pages (from-to)143-169
Original languageEnglish

Abstract

Two quantum events, represented by positive operators (effects), are coexistent if they can occur as possible outcomes in a single measurement scheme. Equivalently, the corresponding effects are coexistent if and only if they are contained in the ranges of a single (joint) observable. Here we give several equivalent characterizations of coexistent pairs of qubit effects. We also establish the equivalence between our results and those obtained independently by other authors. Our approach makes explicit use of the Minkowski space geometry inherent in the four-dimensional real vector space of selfadjoint operators in a two-dimensional complex Hilbert space.

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© Springer Science+Business Media, LLC 2009. This is an author produced version of a paper published in 'Quantum Information Processing'. Uploaded in accordance with the publisher's self-archiving policy.

    Research areas

  • quantum observables, joint measurability, coexistence, qubit

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