An objective collapse model without state dependent stochasticity

Abstract

The impossibility of describing measurement in quantum mechanics while using a quantum mechanical model for the measurement machine, remains one of its central problems. Objective collapse theories attempt to resolve this problem by proposing alterations to Schroedinger's equation. Here, we present a minimal model for an objective collapse theory that, in contrast to previous proposals, does not employ state dependent stochastic terms in its construction. It is an explicit proof of principle that it is possible for Born's rule to emerge from a stochastic evolution in which no properties of the stochastic process depend on the state being evolved. We propose the presented model as a basis from which more realistic objective collapse theories can be constructed.

References in corpus (6)

• Testing the limits of quantum mechanical superpositions
• Underground test of gravity-related wave function collapse
• Present status and future challenges of non-interferometric tests of collapse models
• Testing Gravity-Driven Collapse of the Wavefunction via Cosmogenic Neutrinos
• Superfluid rotation sensor with helical laser trap
• Environment-assisted invariance does not necessitate Born's rule for quantum measurement

Cited by in corpus (6)

• Quantum state reduction of general initial states through spontaneous unitarity violation
• Colored noise driven unitarity violation causing dynamical quantum state reduction
• Superluminal signalling witness for quantum state reduction
• Continuous spontaneous localization as the white-noise limit of spontaneous unitarity violation
• Classifying deviation from standard quantum behavior using Kullback Leibler divergence
• New insights on the quantum-classical division in light of Collapse Models