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

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Publication details

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


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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    Research areas

  • quant-ph

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