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 …

One decade of quantum optimal control in the chopped random basis

MM Müller, RS Said, F Jelezko, T Calarco… - Reports on progress …, 2022 - iopscience.iop.org
The chopped random basis (CRAB) ansatz for quantum optimal control has been proven to
be a versatile tool to enable quantum technology applications such as quantum computing …

Introduction to the Pontryagin maximum principle for quantum optimal control

U Boscain, M Sigalotti, D Sugny - PRX Quantum, 2021 - APS
Optimal control theory is a powerful mathematical tool, which has known a rapid
development since the 1950s, mainly for engineering applications. More recently, it has …

Training Schrödinger's cat: Quantum optimal control: Strategic report on current status, visions and goals for research in Europe

SJ Glaser, U Boscain, T Calarco, CP Koch… - The European Physical …, 2015 - Springer
It is control that turns scientific knowledge into useful technology: in physics and engineering
it provides a systematic way for driving a dynamical system from a given initial state into a …

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 …

Controlling open quantum systems: tools, achievements, and limitations

CP Koch - Journal of Physics: Condensed Matter, 2016 - iopscience.iop.org
The advent of quantum devices, which exploit the two essential elements of quantum
physics, coherence and entanglement, has sparked renewed interest in the control of open …

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 …

Action quantum speed limits

E O'Connor, G Guarnieri, S Campbell - Physical Review A, 2021 - APS
We introduce action quantum speed limits (QSLs) as a family of bounds on the minimal time
to connect two states that, unlike the usual geometric approach, crucially depend on how the …

Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling

N Pancotti, M Scandi, MT Mitchison, M Perarnau-Llobet - Physical Review X, 2020 - APS
Isothermal transformations are minimally dissipative but slow processes, as the system
needs to remain close to thermal equilibrium along the protocol. Here, we show that …

Environment-assisted speed-up of the field evolution in cavity quantum electrodynamics

AD Cimmarusti, Z Yan, BD Patterson, LP Corcos… - Physical review …, 2015 - APS
We measure the quantum speed of the state evolution of the field in a weakly driven optical
cavity QED system. To this end, the mode of the electromagnetic field is considered as a …