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Controlling entropic uncertainty bound through memory effects | | Göktuğ Karpat
; Jyrki Piilo
; Sabrina Maniscalco
; | | Date: |
9 Apr 2015 | | Abstract: | One of the defining traits of quantum mechanics is the uncertainty principle
which was originally expressed in terms of the standard deviation of two
observables. Alternatively, it can be formulated using entropic measures, and
can also be generalized by including a memory particle that is entangled with
the particle to be measured. Here we consider a realistic scenario where the
memory particle is an open system interacting with an external environment.
Through the relation of conditional entropy to mutual information, we provide a
link between memory effects and the rate of change of conditional entropy
controlling the lower bound of the entropic uncertainty relation. Our treatment
reveals that the memory effects stemming from the non-Markovian nature of
quantum dynamical maps directly control the lower bound of the entropic
uncertainty relation in a general way, independently of the specific type of
interaction between the memory particle and its environment. | | Source: | arXiv, 1504.2391 | | Services: | Forum | Review | PDF | Favorites | |
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