1203.2440 (Riuji Mochizuki)

Simultaneous measurability of error and disturbance    [PDF]

Riuji Mochizuki

The uncertainty relation, which displays an elementary property of quantum theory, was originally described by Heisenberg as the relation between error and disturbance. Ozawa presented a more rigorous expression of the uncertainty relation which was later verified experimentally. Nevertheless, the operators corresponding to the error and the disturbance should be simultaneously measurable if we follow the presupposition of Heisenberg's thought experiment. In this letter, we discuss simultaneous measurability of error and disturbance and present a new inequality using the error and disturbance in the identical state.

View original: http://arxiv.org/abs/1203.2440