Conservation laws, uncertainty relations, and quantum limits of measurements

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

2001-12-24

arxiv.org/abs/quant-ph/0112154v1

Phys. Rev. Lett. 88, 050402(1--4) (2002).

Physics

Quantum Physics

4 pages, RevTex, to appear in PRL

Scientific paper

10.1103/PhysRevLett.88.050402

The uncertainty relation between the noise operator and the conserved quantity leads to a bound for the accuracy of general measurements. The bound extends the assertion by Wigner, Araki, and Yanase that conservation laws limit the accuracy of ``repeatable'', or ``nondisturbing'', measurements to general measurements, and improves the one previously obtained by Yanase for spin measurements. The bound also sets an obstacle to making a small quantum computer.

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