Quantum state reduction of general initial states through spontaneous unitarity violation
Aritro Mukherjee, Srinivas Gotur, Jelle Aalberts, Rosa van den Ende,, Lotte Mertens, Jasper van Wezel

TL;DR
This paper proposes models where spontaneous unitarity violation explains quantum measurement, showing that Born's rule naturally emerges, thus addressing a foundational problem in quantum mechanics.
Contribution
It introduces a family of models for spontaneous unitarity violation applicable to general initial states, demonstrating the emergence of Born's rule.
Findings
Born's rule emerges spontaneously in the models
Models apply to arbitrary initial superpositions
Unitarity violation leads to measurement phenomena
Abstract
The inability of Schrodinger's unitary time evolution to describe measurement of a quantum state remains a central foundational problem. It was recently suggested that the unitarity of Schrodinger dynamics can be spontaneously broken, resulting in measurement as an emergent phenomenon in the thermodynamic limit. Here, we introduce a family of models for spontaneous unitarity violation that apply to generic initial superpositions over arbitrarily many states, using either single or multiple state-independent stochastic components. Crucially, we show that Born's probability rule emerges spontaneously in all cases.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Advanced Thermodynamics and Statistical Mechanics
