First-kind measurements, non-demolition measurements, and conservation laws

Details First-kind measurements, non-demolition measurements, and conservation laws First-kind measurements, non-demolition measurements, and conservation laws

1998-04-11

arxiv.org/abs/quant-ph/9804026v3

Quantum Control and Measurement, H. Ezawa and Y. Murayama, eds., North-Holland, Amsterdam (1993) pp. 191-196

Physics

Quantum Physics

7 pages including 1 figure. A typo (of the book version and the previous quant-ph version) in Eq. (9) has been fixed. Figure 1

Scientific paper

A general discussion is given for first-kind (FK) and quantum non-demolition (QND) measurements. The general conditions for these measurements are derived, including the most general one (called the weak condition), an intermediate one, and the strongest one. The weak condition indicates that we can realize a FK or QND measuring apparatus of wide classes of observables by allowing the apparatus to have a finite response range. A recently-proposed QND photodetector using an electron interferometer is an example of such apparatus.

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