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Thermodynamic Limits, Non-commutative Probability, and Quantum Entanglement

Joseph F. Johnson
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Abstract

We construct a rigourous model of quantum measurement. A two-state model of a negative temperature amplifier, such as a laser, is taken to a classical thermodynamic limit. In the limit, it becomes a classical measurement apparatus obeying the stochastic axioms of quantum mechanics. Thus we derive the probabilities from a deterministic Schroedinger's equation by procedures analogous to those of classical statistical mechanics. This requires making precise the notion of `macroscopic.'

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Joseph F. Johnson. 2005-07-02. Thermodynamic Limits, Non-commutative Probability, and Quantum Entanglement. https://arxiv.org/abs/quant-ph/0507017

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