Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
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 …
Generalized geometric quantum speed limits
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 …
has triggered significant progress towards the search for faster and more efficient quantum …
Unifying quantum and classical speed limits on observables
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 …
Quantum speed limits, coherence, and asymmetry
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 …
symmetry-breaking properties of both states and operations relative to a given symmetry. In …
Trade-off between speed and cost in shortcuts to adiabaticity
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 …
physics. Here, we study the speed with which a quantum system can be driven when …
Quantum speed limits across the quantum-to-classical transition
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 …
Adopting a phase-space approach, we explore quantum speed limits across the quantum-to …
Speed limit for open quantum systems
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 …
master equation. The obtained inequality shows a trade-off relation between the operation …
Tightening quantum speed limits for almost all states
Conventional quantum speed limits perform poorly for mixed quantum states: They are
generally not tight and often significantly underestimate the fastest possible evolution speed …
generally not tight and often significantly underestimate the fastest possible evolution speed …
Speed limit of quantum metrology
Quantum metrology employs nonclassical systems to improve the sensitivity of
measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao …
measurements. The ultimate limit of this sensitivity is dictated by the quantum Cramér–Rao …