Proof of the Standard Quantum Limit for Monitoring Free-Mass Position

Details Proof of the Standard Quantum Limit for Monitoring Free-Mass Position Proof of the Standard Quantum Limit for Monitoring Free-Mass Position

2010-05-28

arxiv.org/abs/1005.5328v2

Physics

Quantum Physics

4 pages, no figure

Scientific paper

The measurement result of the moved distance for a free mass m during the time t between two position measurements cannot be predicted with uncertainty smaller than sqrt{hbar t/2m}. This is formulated as a standard quantum limit (SQL) and it has been proven to always hold for the following position measurement: a probe is set in a prescribed position before the measurement. Just after the interaction of the mass with the probe, the probe position is measured, and using this value, the measurement results of the pre-measurement and post-measurement positions are estimated.

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