Journal
PHYSICAL REVIEW A
Volume 101, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.101.062315
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Funding
- Nanyang Technological University
- National Research Foundation of Singapore Fellowship [NRF-NRFF2016-02]
- Templeton Religion Trust [TRT 0159]
- ARO [W911NF1910302]
- NSF
- ARO
- IARPA
- Takenaka Scholarship Foundation
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
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We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resource distillation applicable to all convex resource theories. We show that every convex quantum resource theory admits a meaningful notion of a pure maximally resourceful state, which maximizes several monotones of operational relevance and finds use in distillation. We endow the generalized robustness measure with an operational meaning as an exact quantifier of performance in distilling such maximal states in many classes of resources, including bi- and multipartite entanglement, multilevel coherence, as well as the whole family of affine resource theories, which encompasses important examples such as asymmetry, coherence, and thermodynamics.
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