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24 April 2024 |
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Erasing Quantum Coherence: An Operational Approach | | Uttam Singh
; Manabendra Nath Bera
; Avijit Misra
; Arun Kumar Pati
; | | Date: |
26 Jun 2015 | | Abstract: | Despite being one of the hallmarks of quantum physics, there is a lack of
operational interpretations of quantum coherence. Here we provide an
operational interpretation of coherence of a quantum system, in terms of the
amount of noise that is to be injected in order to fully decohere it. In
particular, we show that in the asymptotic limit, the minimum amount of noise
that is required to fully decohere a quantum system, is equal to the relative
entropy of coherence. This quantifies the erasure cost of quantum coherence. We
employ the entropy exchanged between system and environment during the
decohering operation and the memory required to store the information about the
decohering operation as the quantifiers of noise. We show that both the
quantifiers yield the same cost of erasing coherence in the asymptotic limit.
The relative entropy of coherence, hence, is endowed with a thermodynamical and
operational interpretation. | | Source: | arXiv, 1506.8186 | | Services: | Forum | Review | PDF | Favorites | |
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