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Measuring Quantum Coherence with Entanglement

Open access
Streltsov, Alexander, Singh, Uttam, Dhar, Himadri Shekhar, Bera, Manabendra Nath, Adesso, Gerardo·2015·Physical Review Letters

Abstract

Quantum coherence is an essential ingredient in quantum information processing and plays a central role in emergent fields such as nanoscale thermodynamics and quantum biology. However, our understanding and quantitative characterization of coherence as an operational resource are still very limited. Here we show that any degree of coherence with respect to some reference basis can be converted to entanglement via incoherent operations. This finding allows us to define a novel general class of measures of coherence for a quantum system of arbitrary dimension, in terms of the maximum bipartite entanglement that can be generated via incoherent operations applied to the system and an incoherent ancilla. The resulting measures are proven to be valid coherence monotones satisfying all the requirements dictated by the resource theory of quantum coherence. We demonstrate the usefulness of our approach by proving that the fidelity-based geometric measure of coherence is a full convex coherence monotone, and deriving a closed formula for it on arbitrary single-qubit states. Our work provides a clear quantitative and operational connection between coherence and entanglement, two landmark manifestations of quantum theory and both key enablers for quantum technologies.

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Metadata

Authors
Streltsov, A., Singh, U., Dhar, H. S., Bera, M. N., & Adesso, G.
Venue
Physical Review Letters
Published
2015-07-08
Volume
115
Issue
2
Pages
020403-020403
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2106837901
Cited by
905
References
16
FWCI
86.02
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Measuring Quantum Coherence with Entanglement. https://app.cochat.ai/papers/10.1103/physrevlett.115.020403
The paper
Streltsov, A., Singh, U., Dhar, H. S., Bera, M. N., & Adesso, G. (2015). Measuring Quantum Coherence with Entanglement. Physical Review Letters. https://doi.org/10.1103/physrevlett.115.020403

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