[HTML][HTML] Linear quantum systems: a tutorial

G Zhang, Z Dong - Annual Reviews in Control, 2022 - Elsevier
The purpose of this tutorial is to give a brief introduction to linear quantum control systems.
The mathematical model of linear quantum control systems is presented first, then some …

Symplectic capacities and the geometry of uncertainty: the irruption of symplectic topology in classical and quantum mechanics

M de Gosson, F Luef - Physics Reports, 2009 - Elsevier
This paper aims at conducting an analysis of various uncertainty principles from a
topological point of view where the notion of symplectic capacity plays a key role. The …

Quantum coherence and uncertainty in the anisotropic XY chain

G Karpat, B Çakmak, FF Fanchini - Physical Review B, 2014 - APS
We explore the local quantum coherence and the local quantum uncertainty, based on
Wigner-Yanase skew information, in the ground state of the anisotropic spin-1/2 XY chain in …

Quantum coherence versus quantum uncertainty

S Luo, Y Sun - Physical Review A, 2017 - APS
The notion of measurement is of both foundational and instrumental significance in quantum
mechanics, and coherence destroyed by measurements (decoherence) lies at the very heart …

Work fluctuations in slow processes: quantum signatures and optimal control

HJD Miller, M Scandi, J Anders, M Perarnau-Llobet - Physical review letters, 2019 - APS
An important result in classical stochastic thermodynamics is the work fluctuation-dissipation
relation (FDR), which states that the dissipated work done along a slow process is …

[HTML][HTML] Quantum coherence sets the quantum speed limit for mixed states

D Mondal, C Datta, S Sazim - Physics Letters A, 2016 - Elsevier
We cast observable measure of quantum coherence as a resource to control the quantum
speed limit (QSL) for unitary evolutions. For non-unitary evolutions, QSL depends on that of …

Operational interpretation and estimation of quantum trace-norm asymmetry based on weak-value measurement and some bounds

A Budiyono - Physical Review A, 2023 - APS
The asymmetry of a quantum state relative to a translational group is a central concept in
many areas of quantum science and technology. An important and geometrically intuitive …

Coherence and complementarity in state-channel interaction

S Luo, Y Sun - Physical Review A, 2018 - APS
While Bohr's complementarity principle constitutes a bedrock of quantum mechanics with
profound implications, coherence, as a defining feature of the quantum realm originating …

Quantifying nonclassicality via Wigner-Yanase skew information

S Luo, Y Zhang - Physical Review A, 2019 - APS
Identifying the classical-quantum divide and quantifying nonclassicality (quantumness) are
fundamental issues in quantum exploration. By use of the Wigner-Yanase skew information …

Geometric lower bound for a quantum coherence measure

DP Pires, LC Céleri, DO Soares-Pinto - Physical Review A, 2015 - APS
Nowadays, geometric tools are being used to treat a huge class of problems of quantum
information science. By understanding the interplay between the geometry of the state space …