Colloquium: Quantum coherence as a resource

A Streltsov, G Adesso, MB Plenio - Reviews of Modern Physics, 2017 - APS
The coherent superposition of states, in combination with the quantization of observables,
represents one of the most fundamental features that mark the departure of quantum …

Quantum coherence and geometric quantum discord

ML Hu, X Hu, J Wang, Y Peng, YR Zhang, H Fan - Physics Reports, 2018 - Elsevier
Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

Quantum coherence in multipartite systems

Y Yao, X Xiao, L Ge, CP Sun - Physical Review A, 2015 - APS
Within the unified framework of exploiting the relative entropy as a distance measure of
quantum correlations, we make explicit the hierarchical structure of quantum coherence …

Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation

M Hillery - Physical Review A, 2016 - APS
That superpositions of states can be useful for performing tasks in quantum systems has
been known since the early days of quantum information, but only recently has a quantitative …

Trace-distance measure of coherence

S Rana, P Parashar, M Lewenstein - Physical Review A, 2016 - APS
We show that trace distance measure of coherence is a strong monotone for all qubit and, so
called, X states. An expression for the trace distance coherence for all pure states and a …

Relations between coherence and path information

E Bagan, JA Bergou, SS Cottrell, M Hillery - Physical review letters, 2016 - APS
We find two relations between coherence and path information in a multipath interferometer.
The first builds on earlier results for the two-path interferometer, which used minimum-error …

Quantifying quantum coherence via Kirkwood-Dirac quasiprobability

A Budiyono, HK Dipojono - Physical Review A, 2023 - APS
Kirkwood-Dirac (KD) quasiprobability is a quantum analog of phase space probability of
classical statistical mechanics, allowing negative or/and nonreal values. It gives an …

Quantum-coherence quantifiers based on the Tsallis relative entropies

AE Rastegin - Physical Review A, 2016 - APS
The concept of coherence is one of cornerstones in physics. The development of quantum
information science has lead to renewed interest in properly approaching the coherence at …

Maximal coherence and the resource theory of purity

A Streltsov, H Kampermann, S Wölk… - New Journal of …, 2018 - iopscience.iop.org
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 …

Genuine quantum coherence

JI De Vicente, A Streltsov - Journal of Physics A: Mathematical …, 2016 - iopscience.iop.org
Any quantum resource theory is based on free states and free operations, ie states and
operations which can be created and performed at no cost. In the resource theory of …