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}
}
  • M. Ozawa
  • Published 2003
  • Physics
  • Physical Review A
  • 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… CONTINUE READING
    Colloquium: Quantum root-mean-square error and measurement uncertainty relations
    • 102
    • PDF
    Error-tradeoff and error-disturbance relations for incompatible quantum measurements
    • 82
    • PDF
    Noise and disturbance in quantum measurements and operations
    • 4
    Soundness and completeness of quantum root-mean-square errors
    • 20
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 30 REFERENCES
    Position measuring interactions and the Heisenberg uncertainty principle
    • 37
    • PDF
    Quantum limits of measurements and uncertainty principle
    • 25
    • PDF
    The physical principles of the quantum theory
    • 289
    • PDF
    The statistical interpretation of quantum mechanics
    • 677