Quantifying coherence.
By T. Baumgratz, M. Cramer, M. Plenio. Physical Review Letters, 2013
2,183 citations recorded by the source corpus.
We introduce a rigorous framework for the quantification of coherence and identify intuitive and easily computable measures of coherence. We achieve this by adopting the viewpoint of coherence as a physical resource. By determining defining conditions for measures of coherence we identify classes of functionals that satisfy these conditions and other, at first glance natural quantities, that do not qualify as coherence measures. We conclude with an outline of the questions that remain to be answered to complete the theory of coherence as a resource.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/b55d2ff99b9cab8d488d4a506d3f533853312d3a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Vlatko Vedral
- R. Serra
- Dong Yang
- Mile Gu
- Benjamin Yadin
- David Jennings
- Andreas J. Winter
- Terry Rudolph
In Atomic and Molecular Physics, and Optics
- Vlatko Vedral
- R. Serra
- Dong Yang
- Mile Gu
- Terry Rudolph
- Benjamin Yadin
- David Jennings
- Andreas J. Winter
Citations in the corpus
- Quantum processes which do not use coherence (2015, methodology): “The measure of coherence associated with D is CDðρÞ ≔ minσ incoherentDðρ; σÞ [1].”
- Operational Resource Theory of Coherence. (2015, background): “For our purposes, a QRT has three ingredients: (1) free states (separable state in ET), (2) resource states (entangled state in ET), (3) the restricted or free operations (LOCC in ET).”
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy (2014, methodology): “For a - 1, we have A 1 ( r ) (cid:6) A ( r ), which is the asymmetry measure introduced in refs 33,36,37.”
- Many-Body Quantum Magic (2020, background): “[13] T.”
- Coherence effects in the performance of the quantum Otto heat engine (2018, methodology): “[13] T.”
- Operational one-to-one mapping between coherence and entanglement measures (2017, background): “[23], who studied coherence from the perspective of resource theories [24–29].”
- Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits (2022, methodology): “For convenience, we quantify the amount of energetic coherence using the `1-norm, which is one of the most general coherence monotones in the literature [157]:”