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Unifying Decoherence and the Heisenberg Principle

Bas Janssens
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Abstract

We exhibit three inequalities involving quantum measurement, all of which are sharp and state independent. The first inequality bounds the performance of joint measurement. The second quantifies the trade-off between the measurement quality and the disturbance caused on the measured system. Finally, the third inequality provides a sharp lower bound on the amount of decoherence in terms of the measurement quality. This gives a unified discription of both the Heisenberg principle and the collapse of the wave function.

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Bas Janssens. 2006-06-10. Unifying Decoherence and the Heisenberg Principle. https://doi.org/10.1007/s11005-017-0953-z

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