Dynamical maps beyond Markovian regime

D Chruściński - Physics Reports, 2022 - Elsevier
Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Measures and applications of quantum correlations

G Adesso, TR Bromley… - Journal of Physics A …, 2016 - iopscience.iop.org
Quantum information theory is built upon the realisation that quantum resources like
coherence and entanglement can be exploited for novel or enhanced ways of transmitting …

Quantum embeddings for machine learning

S Lloyd, M Schuld, A Ijaz, J Izaac, N Killoran - arxiv preprint arxiv …, 2020 - arxiv.org
Quantum classifiers are trainable quantum circuits used as machine learning models. The
first part of the circuit implements a quantum feature map that encodes classical inputs into …

Generalization in quantum machine learning: A quantum information standpoint

L Banchi, J Pereira, S Pirandola - PRX Quantum, 2021 - APS
Quantum classification and hypothesis testing (state and channel discrimination) are two
tightly related subjects, the main difference being that the former is data driven: how to …

Generalized quantum measurements on a higher-dimensional system via quantum walks

X Wang, X Zhan, Y Li, L **ao, G Zhu, D Qu, Q Lin… - Physical Review Letters, 2023 - APS
Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …

Quantum state discrimination

A Chefles - Contemporary Physics, 2000 - Taylor & Francis
There are fundamental limits to the accuracy with which one can determine the state of a
quantum system. I give an overview of the main approaches to quantum state discrimination …

Quantum algorithmic measurement

D Aharonov, J Cotler, XL Qi - Nature communications, 2022 - nature.com
There has been recent promising experimental and theoretical evidence that quantum
computational tools might enhance the precision and efficiency of physical experiments …

Duality of quantum coherence and path distinguishability

MN Bera, T Qureshi, MA Siddiqui, AK Pati - Physical Review A, 2015 - APS
We derive a generalized wave-particle duality relation for arbitrary multipath quantum
interference phenomena. Beyond the conventional notion of the wave nature of a quantum …

Problem-dependent power of quantum neural networks on multiclass classification

Y Du, Y Yang, D Tao, MH Hsieh - Physical Review Letters, 2023 - APS
Quantum neural networks (QNNs) have become an important tool for understanding the
physical world, but their advantages and limitations are not fully understood. Some QNNs …

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 …