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Sublinear Coherence distillation and a no-broadcasting theorem for coherence and asymmetry Marvian, Iman
Description
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.
Item Metadata
Title |
Sublinear Coherence distillation and a no-broadcasting theorem for coherence and asymmetry
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-07-26T11:00
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Description |
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.
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Extent |
55.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Duke University
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Series | |
Date Available |
2020-01-23
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0388353
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International