Quantum Mechanics and Imprecise Probability

Imprecise Probabilities in Quantum Mechanics

In his entry on “Quantum Logic and Probability Theory” in the Stanford Encyclopedia of Philosophy, Alexander Wilce (2012) writes that “it is uncontroversial (though remarkable) that the formal apparatus of quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean algebra of events in the latter is taken over by the ‘quantum logic’ of pro...

Time, Quantum Mechanics, and Probability

A variety of ideas arisiüg in decoherence theory, and in the ongoing debate over Everett’s relative-state theory, can be linked to issues in relativity theory and the philosophy of time, speci…cally the relational theory of tense and of identity over time. These have been systematically presented in companion papers (Saunders 1995, 1996a); in what follows we shall consider the same circle of id...

An introduction to quantum probability, quantum mechanics, and quantum computation

Quantum mechanics is one of the most surprising sides of modern physics. Its basic precepts require only undergraduate or early graduate mathematics; but because quantum mechanics is surprising, it is more difficult than these prerequisites suggest. Moreover, the rigorous and clear rules of quantum mechanics are sometimes confused with the more difficult and less rigorous rules of quantum field...

Imprecise Probability

1 Time , Quantum Mechanics , and Probability

A variety of ideas arisiüg in decoherence theory, and in the ongoing debate over Everett’s relative-state theory, can be linked to issues in relativity theory and the philosophy of time, specifically the relational theory of tense and of identity over time. These have been systematically presented in companion papers (Saunders 1995, 1996a); in what follows we shall consider the same circle of i...