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8 papers · 1 filter
Multipartite entanglement in qudit hypergraph states
Daniele Malpetti, Alfredo Bellisario, Chiara Macchiavello
We study entanglement properties of hypergraph states in arbitrary finite dimension. We compute multipartite entanglement of elementary qudit hypergraph states, namely those endowe…
Quantum indistinguishability through exchangeable desirable gambles
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
Two particles are identical if all their intrinsic properties, such as spin and charge, are the same, meaning that no quantum experiment can distinguish them. In addition to the we…
Bernstein's socks and polynomial-time provable coherence
Alessio Benavoli, Alessandro Facchini, Marco Zaffalon
We recently introduced a bounded rationality approach for the theory of desirable gambles. It is based on the unique requirement that being non-negative for a gamble has to be defi…
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…
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…
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…