TITLE:
Simultaneous Measurability of Error and Disturbance
AUTHORS:
Riuji Mochizuki
KEYWORDS:
Quantum Logic; Uncertainty; Inequality
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.2,
February
27,
2013
ABSTRACT: 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 error and disturbance should be measurable in the identical state 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 error and disturbance in the identical state. A testable example of this inequality is also suggested.