Maximal coherence and the resource theory of purity
By Alexander Streltsov, H. Kampermann, S. Wölk, M. Gessner, D. Bruß. New Journal of Physics, 2016
150 citations recorded by the source corpus.
The resource theory of quantum coherence studies the off-diagonal elements of a density matrix in a distinguished basis, whereas the resource theory of purity studies all deviations from the maximally mixed state. We establish a direct connection between the two resource theories, by identifying purity as the maximal coherence which is achievable by unitary operations. The states that saturate this maximum identify a universal family of maximally coherent mixed states. These states are optimal resources under maximally incoherent operations, and thus independent of the way coherence is quantified. For all distance-based coherence quantifiers the maximal coherence can be evaluated exactly, and is shown to coincide with the corresponding distance-based purity quantifier. We further show that purity bounds the maximal amount of entanglement and discord that can be generated by unitary operations, thus demonstrating that purity is the most elementary resource for quantum information processing.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/75ece72a7faf05b3914bc4f478c3f271ff46bfea
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Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, background): “Streltsov et al. (2018) also considered the maximal coherence achievable by performing unitary operations on a state ρ, with however a different set of free operations from that of Baumgratz et al. (2014) was used when defining C(ρ).”
- Colloquium: quantum coherence as a resource (2016, background): “LQICC operations are in particular important for the tasks of incoherent quantum state merging (Streltsov et al., 2016a) (see also next Section) and assisted coherence distillation (Chitambar et al., 2016; Streltsov et al., 2017).”