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International Journal of Theoretical Physics

, Volume 55, Issue 3, pp 1897–1911 | Cite as

Quantum Measurement and Initial Conditions

  • Ovidiu Cristinel StoicaEmail author
Article

Abstract

Quantum measurement finds the observed system in a collapsed state, rather than in the state predicted by the Schrödinger equation. Yet there is a relatively spread opinion that the wavefunction collapse can be explained by unitary evolution (for instance in the decoherence approach, if we take into account the environment). In this article it is proven a mathematical result which severely restricts the initial conditions for which measurements have definite outcomes, if pure unitary evolution is assumed. This no-go theorem remains true even if we take the environment into account. The result does not forbid a unitary description of the measurement process, it only shows that such a description is possible only for very restricted initial conditions. The existence of such restrictions of the initial conditions can be understood in the four-dimensional block universe perspective, as a requirement of global self-consistency of the solutions of the Schrödinger equation.

Keywords

Foundations of quantum mechanics Measurement theory Contextuality Entanglement and quantum nonlocality EPR paradox Bell inequalities Quantum mechanics 

Notes

Acknowledgments

The author cordially thanks Eliahu Cohen, Hans-Thomas Elze, Florin Moldoveanu, and the referees, for very helpful comments and suggestions.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Horia Hulubei National Institute for Physics and Nuclear EngineeringBucharestRomania

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