Physics – Quantum Physics
Scientific paper
2009-10-14
Found. of Phys. 41, 3 (2011) p 564
Physics
Quantum Physics
17 pages, 5 figures, a few additions in v2 on QBism ideas
Scientific paper
Every quantum state can be represented as a probability distribution over the outcomes of an informationally complete measurement. But not all probability distributions correspond to quantum states. Quantum state space may thus be thought of as a restricted subset of all potentially available probabilities. A recent publication [1] advocates such a representation using symmetric informationally complete (SIC) measurements. Building upon this work we study how this subset--quantum-state space--might be characterized. Our leading characteristic is that the inner products of the probabilities are bounded, a simple condition with nontrivial consequences. To get quantum-state space something more detailed about the extreme points is needed. No definitive characterization is reached, but we see several new interesting features over those in [1], and all in conformity with quantum theory.
Appleby D. M.
Ericsson Asa
Fuchs Christopher A.
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