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 resource theories

E Chitambar, G Gour - Reviews of modern physics, 2019 - APS
Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

Coherence as a Resource for Shor's Algorithm

F Ahnefeld, T Theurer, D Egloff, JM Matera… - Physical Review Letters, 2022 - APS
Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

Operational resource theory of quantum channels

Y Liu, X Yuan - Physical Review Research, 2020 - APS
Quantum resource theories have been widely studied to systematically characterize the
nonclassicality of quantum systems. Most resource theories focus on quantum states and …

General resource theories in quantum mechanics and beyond: operational characterization via discrimination tasks

R Takagi, B Regula - Physical Review X, 2019 - APS
We establish an operational characterization of general convex resource theories—
describing the resource content of not only states but also measurements and channels …

Operational advantage of quantum resources in subchannel discrimination

R Takagi, B Regula, K Bu, ZW Liu, G Adesso - Physical review letters, 2019 - APS
One of the central problems in the study of quantum resource theories is to provide a given
resource with an operational meaning, characterizing physical tasks in which the resource …

Operational one-to-one mapping between coherence and entanglement measures

H Zhu, Z Ma, Z Cao, SM Fei, V Vedral - Physical Review A, 2017 - APS
We establish a general operational one-to-one mapping between coherence measures and
entanglement measures: Any entanglement measure of bipartite pure states is the minimum …

Quantifying operations with an application to coherence

T Theurer, D Egloff, L Zhang, MB Plenio - Physical review letters, 2019 - APS
To describe certain facets of nonclassicality, it is necessary to quantify properties of
operations instead of states. This is the case if one wants to quantify how well an operation …

Quantifying quantum resources with conic programming

R Uola, T Kraft, J Shang, XD Yu, O Gühne - Physical review letters, 2019 - APS
Resource theories can be used to formalize the quantification and manipulation of resources
in quantum information processing such as entanglement, asymmetry and coherence of …

Quantum entropy and central limit theorem

K Bu, W Gu, A Jaffe - … of the National Academy of Sciences, 2023 - National Acad Sciences
We introduce a framework to study discrete-variable (DV) quantum systems based on qudits.
It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), and a …