Year: 2015
Type: article
Abstract: We build in this paper the counterpart of the celebrated Nielsen theorem for coherence manipulation. This offers an affirmative answer to the open question: whether, given two states $\ensuremath{\rho}$ and $\ensuremath{\sigma}$, either $\ensuremath{\rho}$ can be transformed into $\ensuremath{\sigma}$ or vice versa under incoherent operations [Baumgratz et al., Phys. Rev. Lett. 113, 140401 (2014)]. As a consequence, we find that there exist essentially different types of coherence. Moreover, incoherent operations can be enhanced in the presence of certain coherent states. These extra states are coherent catalysts: they allow uncertain incoherent operations to be realized without being consumed in any way. Our main result also sheds light on the construction of coherence measures.
Source: Physical Review A
Authors: Shuanping Du, Zhaofang Bai, Yu Guo
Institutions: Xiamen University, Shanxi Datong University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W776058192