Non-hermitian physics
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …
Colloquium: Quantum coherence as a resource
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 …
represents one of the most fundamental features that mark the departure of quantum …
Thermodynamic unification of optimal transport: Thermodynamic uncertainty relation, minimum dissipation, and thermodynamic speed limits
Thermodynamics serves as a universal means for studying physical systems from an energy
perspective. In recent years, with the establishment of the field of stochastic and quantum …
perspective. In recent years, with the establishment of the field of stochastic and quantum …
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 …
evolutions. When representing quantum states by density operators, the evident …
Quantum Fisher information matrix and multiparameter estimation
Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …
Enhancing the charging power of quantum batteries
Can collective quantum effects make a difference in a meaningful thermodynamic
operation? Focusing on energy storage and batteries, we demonstrate that quantum …
operation? Focusing on energy storage and batteries, we demonstrate that quantum …
Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
S Deffner, S Campbell - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …
indeterminacy principle. Among the different statements of this fundamental property of the …
Ultimate speed limits to the growth of operator complexity
N Hörnedal, N Carabba… - Communications …, 2022 - nature.com
In an isolated system, the time evolution of a given observable in the Heisenberg picture can
be efficiently represented in Krylov space. In this representation, an initial operator becomes …
be efficiently represented in Krylov space. In this representation, an initial operator becomes …
Unifying quantum and classical speed limits on observables
LP García-Pintos, SB Nicholson, JR Green… - Physical Review X, 2022 - APS
The presence of noise or the interaction with an environment can radically change the
dynamics of observables of an otherwise isolated quantum system. We derive a bound on …
dynamics of observables of an otherwise isolated quantum system. We derive a bound on …
Speed limit for classical stochastic processes
We consider the speed limit for classical stochastic Markov processes with and without the
local detailed balance condition. We find that, for both cases, a trade-off inequality exists …
local detailed balance condition. We find that, for both cases, a trade-off inequality exists …