Uncertainty relation for indirect measurement
- URL: http://arxiv.org/abs/2208.03341v1
- Date: Fri, 5 Aug 2022 18:11:24 GMT
- Title: Uncertainty relation for indirect measurement
- Authors: Ryo Mihashi, Yoshihiko Hasegawa
- Abstract summary: Indirect measurement can be used to read out the outcome of a quantum system without resorting to a straightforward approach.
We derive a new measurement uncertainty with respect to indirect measurement in the light of quantum thermodynamics.
- Score: 4.111899441919164
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Indirect measurement can be used to read out the outcome of a quantum system
without resorting to a straightforward approach, and it is the foundation of
the measurement uncertainty relations that explain the incompatibility of
conjugate observables. While measurement uncertainty has been established for
the accuracy of quantum measurement, thermodynamic uncertainty is being
researched as a new perspective on the accuracy of fluctuating observables that
trades off a physical cost in the classical or quantum regime. Following these
ideas, we derive a new measurement uncertainty with respect to indirect
measurement in the light of quantum thermodynamics. The obtained result shows a
reciprocal relation between a survival activity, which is a frenetic
contribution to the thermodynamic system, and noise due to the measurement
approach. Moreover, this uncertainty can also affect the disturbance of an
incompatible counterpart through the universal noise-disturbance relation.
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