SIC-POVMs and Compatibility among Quantum States
AbstractAn unexpected connection exists between compatibility criteria for quantum states and Symmetric Informationally Complete quantum measurements (SIC-POVMs). Beginning with Caves, Fuchs and Schack’s "Conditions for compatibility of quantum state assignments", I show that a qutrit SIC-POVM studied in other contexts enjoys additional interesting properties. Compatibility criteria provide a new way to understand the relationship between SIC-POVMs and mutually unbiased bases, as calculations in the SIC representation of quantum states make clear. This, in turn, illuminates the resources necessary for magic-state quantum computation, and why hidden-variable models fail to capture the vitality of quantum mechanics. View Full-Text
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Stacey, B.C. SIC-POVMs and Compatibility among Quantum States. Mathematics 2016, 4, 36.
Stacey BC. SIC-POVMs and Compatibility among Quantum States. Mathematics. 2016; 4(2):36.Chicago/Turabian Style
Stacey, Blake C. 2016. "SIC-POVMs and Compatibility among Quantum States." Mathematics 4, no. 2: 36.
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