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A Gleason-type theorem for qubits based on mixtures of projective measurements

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JournalJournal of Physics A: Mathematical and Theoretical
DateSubmitted - 24 Aug 2018
DateAccepted/In press - 12 Dec 2018
DateE-pub ahead of print (current) - 18 Dec 2018
Number of pages19
Early online date18/12/18
Original languageEnglish

Abstract

We derive Born's rule and the density-operator formalism for quantum systems with Hilbert spaces of dimension two or larger. Our extension of Gleason's theorem only relies upon the consistent assignment of probabilities to the outcomes of projective measurements and their classical mixtures. This assumption is significantly weaker than those required for existing Gleason-type theorems valid in dimension two.

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© 2019 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

    Research areas

  • quant-ph

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