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 …

Generalized geometric quantum speed limits

DP Pires, M Cianciaruso, LC Céleri, G Adesso… - Physical Review X, 2016 - APS
The attempt to gain a theoretical understanding of the concept of time in quantum mechanics
has triggered significant progress towards the search for faster and more efficient quantum …

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 …

Speed limit for classical stochastic processes

N Shiraishi, K Funo, K Saito - Physical review letters, 2018 - APS
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 …

Quantum speed limits, coherence, and asymmetry

I Marvian, RW Spekkens, P Zanardi - Physical Review A, 2016 - APS
The resource theory of asymmetry is a framework for classifying and quantifying the
symmetry-breaking properties of both states and operations relative to a given symmetry. In …

Trade-off between speed and cost in shortcuts to adiabaticity

S Campbell, S Deffner - Physical review letters, 2017 - APS
Achieving effectively adiabatic dynamics is a ubiquitous goal in almost all areas of quantum
physics. Here, we study the speed with which a quantum system can be driven when …

Quantum speed limits across the quantum-to-classical transition

B Shanahan, A Chenu, N Margolus, A Del Campo - Physical review letters, 2018 - APS
Quantum speed limits set an upper bound to the rate at which a quantum system can evolve.
Adopting a phase-space approach, we explore quantum speed limits across the quantum-to …

Speed limit for open quantum systems

K Funo, N Shiraishi, K Saito - New Journal of Physics, 2019 - iopscience.iop.org
We study the quantum speed limit for open quantum systems described by the Lindblad
master equation. The obtained inequality shows a trade-off relation between the operation …

Tightening quantum speed limits for almost all states

F Campaioli, FA Pollock, FC Binder, K Modi - Physical review letters, 2018 - APS
Conventional quantum speed limits perform poorly for mixed quantum states: They are
generally not tight and often significantly underestimate the fastest possible evolution speed …

Speed limit of quantum metrology

Y Maleki, B Ahansaz, A Maleki - Scientific Reports, 2023 - nature.com
Quantum metrology employs nonclassical systems to improve the sensitivity of
measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao …