Quantum-mechanical measurement apparatus as a black box

A. V. Nenashev

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arXiv · 1402.2919

Quantum-mechanical measurement apparatus as a black box

A. V. Nenashev

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Abstract

It is commonly believed that the most general type of a quantum-mechanical measurement is one described by a positive-operator valued measure (POVM). In the present paper, this statement is proven for any measurements on quantum systems with a finite-dimensional state space. The proof of POVM nature of an arbitrary measurement is carried out using a purely operational approach, which is fully ignorant about what is inside a measurement apparatus. The suggested approach gives also an opportunity to derive the Born rule.

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A. V. Nenashev. 2014-02-12. Quantum-mechanical measurement apparatus as a black box. https://arxiv.org/abs/1402.2919

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