# Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement

@article{Ozawa2003UniversallyVR, title={Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement}, author={M. Ozawa}, journal={Physical Review A}, year={2003}, volume={67}, pages={042105} }

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by Planck’s constant \/2 as demonstrated by Heisenberg’s thought experiment using a g-ray microscope. Here it is shown that this common assumption is not universally true: a universally valid trade-off relation between the noise and the disturbance has an additional correlation term, which is redundant… Expand

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- 2013

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#### References

SHOWING 1-10 OF 28 REFERENCES

Quantum-mechanical limitations in macroscopic experiments and modern experimental technique

- Physics
- 1975

Conservation laws, uncertainty relations, and quantum limits of measurements.

- Physics, Medicine
- Physical review letters
- 2002