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Marvian, Iman [Verfasser:in] ; Gour, Gilad (Organisation) [Sonstige Person, Familie und Körperschaft]; Buscemi, Francesco (Organisation) [Sonstige Person, Familie und Körperschaft]; Chitambar, Eric (Organisation) [Sonstige Person, Familie und Körperschaft]

Sublinear Coherence Distillation (using Time-Translation Invariant Operations)

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  • Medientyp: E-Book; Video
  • Titel: Sublinear Coherence Distillation (using Time-Translation Invariant Operations)
  • Beteiligte: Marvian, Iman [Verfasser:in]; Gour, Gilad (Organisation) [Sonstige Person, Familie und Körperschaft]; Buscemi, Francesco (Organisation) [Sonstige Person, Familie und Körperschaft]; Chitambar, Eric (Organisation) [Sonstige Person, Familie und Körperschaft]
  • Erschienen: [Erscheinungsort nicht ermittelbar]: Banff International Research Station (BIRS) for Mathematical Innovation and Discovery, 2019
  • Erschienen in: Algebraic and Statistical ways into Quantum Resource Theories (19w5120) ; (Jan. 2019)
  • Umfang: 1 Online-Ressource (366 MB, 00:54:11:05)
  • Sprache: Englisch
  • DOI: 10.5446/57665
  • Identifikator:
  • Entstehung:
  • Anmerkungen: Audiovisuelles Material
  • Beschreibung: In this talk I discuss coherence distillation under Time translation Invariant operations. I show that although for a generic mixed state the distillation rate is zero, it is still possible to distill a sub-linear number of a pure coherent state, with fidelity approaching one, provided that we can consume asymptotically many copies of the mixed state. Furthermore, for a generic mixed input state, there is a tradeoff between the maximum achievable yield and the fidelity with pure coherent states. Interestingly, it turns out that Petz-Renyi relative entropy for alpha=2 gives a tight bound on the maximum achievable fidelity. Furthermore, coherence distillation provides an operational explanation for the violation of the monotonicity of Petz-Renyi relative entropy for the parameter range alpha>2. Finally, I talk about the limitations of measure-and-prepare (entanglement-breaking) processes for coherence distillation. If time allows, I also briefly discuss a new no-broadcasting theorem for coherence and asymmetry. The no-go theorem states that if two initially uncorrelated systems interact by symmetric dynamics and asymmetry is created at one subsystem, then the asymmetry of the other subsystem must be reduced. I also present a quantitative relation describing the tradeoff between the subsystems
  • Zugangsstatus: Freier Zugang
  • Rechte-/Nutzungshinweise: Namensnennung - Nicht kommerziell (CC BY-NC)