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Conditions for coherence transformations under incoherent operations
Open accessAbstract
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.
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Cites
Entanglement measures and purification procedures
Vedral, V., & Plenio, M. B. (1998) · Physical Review A · doi:10.1103/physreva.57.1619 · Cited by 1,419
Observable Measure of Quantum Coherence in Finite Dimensional Systems
Girolami, D. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.170401 · Cited by 537
Metadata
- Authors
- Du, S., Bai, Z., & Guo, Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2015-05-27
- Volume
- 91
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W776058192
- Cited by
- 206
- References
- 2
- FWCI
- 23.46
- Type
- journal article
- Language
- en
- Open access
- green
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- Du, S., Bai, Z., & Guo, Y. (2015). Conditions for coherence transformations under incoherent operations. Physical Review A. https://doi.org/10.1103/physreva.91.052120
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