# Quantum Speed Limits for Leakage and Decoherence.

@article{Marvian2015QuantumSL, title={Quantum Speed Limits for Leakage and Decoherence.}, author={Iman Marvian and Daniel A. Lidar}, journal={Physical review letters}, year={2015}, volume={115 21}, pages={ 210402 } }

We introduce state-independent, nonperturbative Hamiltonian quantum speed limits for population leakage and fidelity loss, for a gapped open system interacting with a reservoir. These results hold in the presence of initial correlations between the system and the reservoir, under the sole assumption that their interaction and its commutator with the reservoir Hamiltonian are norm bounded. The reservoir need not be thermal and can be time dependent. We study the significance of energy mismatch…

## 50 Citations

### Quantum speedup in noninertial frames

- 2020

Physics

The European Physical Journal C

We investigate the speedup evolution of the system under the influence of the Unruh effect, where one of the observers (e.g., Bob) is uniformly accelerated. We show that acceleration can be…

### Unifying Quantum and Classical Speed Limits on Observables

- 2022

Education

Physical Review X

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 the speed with which…

### Speed limits in Liouville space for open quantum systems

- 2016

Physics

One of the defining properties of an open quantum system is the variation of its purity in time. We derive speed limits on the rate of purity change for systems coupled to a Markovian environment.…

### Quantum speed limit of a noisy continuous-variable system

- 2022

Physics

Physical Review A

Setting the minimal-time bound for a quantum system to evolve between two distinguishable states, the quantum speed limit (QSL) characterizes the latent capability in speeding up of the system. It…

### Purity speed limit of open quantum systems from magic subspaces

- 2020

Physics

We introduce the concept of Magic Subspaces for the control of dissipative N- level quantum systems whose dynamics are governed by Lindblad equation. For a given purity, these subspaces can be…

### Non-Markovian dynamics of a dephasing model in a squeezed thermal bath

- 2019

Physics

Laser Physics Letters

The non-Markovian dynamics of a qubit dephasing in a squeezed thermal environment with general Ohmic spectral density are investigated, and the analytical solution is presented for the models with…

### Quantum speed limit and a signal of quantum criticality

- 2016

Physics

Scientific Reports

The QSLT provides a further insight and sharper identification of quantum criticality and displays a sudden transition from discontinuous segmented values to a steady value at the critical point.

### Relationship between quantum speed limit time and memory time in a photonic-band-gap environment

- 2016

Physics

Scientific Reports

The QSL time provides a further insight and sharper identification of memory time in a PBG environment, and is shown to be influenced by the coherent property of the reservoir and the band-gap width.

### Control quantum evolution speed of a single dephasing qubit for arbitrary initial states via periodic dynamical decoupling pulses

- 2017

Physics

Scientific Reports

It is shown that final quantum coherence of the qubit and the non-Markovianity of the system can be modulated by PDD pulses, and the effect of PDD on the quantum speed limit time (QSLT) for the Ohmic or sub-Ohmic spectrum ( Markovian reservoir) is much different from that for the super-Ohmac spectrum (non-MarkOVian reservoir.