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Showing 2016 · quant-phShow all
3 papers · 2 filters
quant-ph2016
Quantum rational preferences and desirability
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We develop a theory of quantum rational decision making in the tradition of Anscombe and Aumann's axiomatisation of preferences on horse lotteries. It is essentially the Bayesian d…
quant-ph2016★ 12 cited
A Gleason-type theorem for any dimension based on a gambling formulation of Quantum Mechanics
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
Based on a gambling formulation of quantum mechanics, we derive a Gleason-type theorem that holds for any dimension n of a quantum system, and in particular for n = 2. The theorem…
quant-ph2016★ 22 cited
Quantum mechanics: The Bayesian theory generalised to the space of Hermitian matrices
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We consider the problem of gambling on a quantum experiment and enforce rational behaviour by a few rules. These rules yield, in the classical case, the Bayesian theory of probabil…