Measuring Quantum Coherence with Entanglement.
By Alexander Streltsov, Uttam Singh, H. Dhar, M. N. Bera, Gerardo Adesso. Physical Review Letters, 2015
787 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/a22fbbe80258a55110294403c51e016545c1910d
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Citations in the corpus
- Quantum processes which do not use coherence (2015, background): “(This is also true for the geometric measure of coherence [10] where F (ρ, σ) is replaced by F (ρ, σ)2.”
- Quantum-enhanced measurements without entanglement (2017, background): “…systems can be converted to entanglement within a well-defined resource-theoretic framework (Asbóth et al., 2005; Killoran et al., 2016; Streltsov et al., 2015; Vogel and Sperling, 2014), and can be thought-of as equivalent resources to entanglement for certain practical purposes, as…”
- Quantum coherence and geometric quantum discord (2017, methodology): “Streltsov et al. (2015) made a first step toward the above problem.”
- Operational one-to-one mapping between coherence and entanglement measures (2017, background): “(8) is also saturated by maximally correlated states [28,47,72] according to Theorem 4 below.”