Measuring Quantum Coherence with Entanglement
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
A Deficiency-Based Approach for the Operational Interpretation of Quantum Resources with Applications
Defines resource deficiency relative to maximal sets to extend operational interpretations of quantum resources and link them to experimental gate noise estimation.
-
Unitary dynamics and resource trade-offs in a four-qubit isotropic Heisenberg XXX chain with tunable next-nearest-neighbor coupling
In a four-qubit isotropic Heisenberg XXX chain with tunable next-nearest-neighbor coupling α, fidelity, l1 coherence, and pairwise entanglement of formation are all exact functions of φ = (α + 1)t and freeze identical...
-
Quantum average correlations and complementarity relations via metric-adjusted skew information
Averaging quantum correlations over mutually unbiased bases, all orthonormal bases, operator bases, and unitary twirling via metric-adjusted skew information yields one intrinsic closed expression, enabling complement...
-
Unitary dynamics and resource trade-offs in a four-qubit isotropic Heisenberg XXX chain with tunable next-nearest-neighbor coupling
Closed-form expressions show fidelity, coherence, and entanglement of formation in a four-qubit XXX chain evolve periodically with phase φ = (α + 1)t and freeze completely at α = -1.
-
Quantum average correlation based on average coherence
A new average correlation for bipartite quantum systems is defined as the difference between global and local skew information; it satisfies non-negativity, contractivity under local channels, and local unitary invari...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.