Quantum control of bosonic modes with superconducting circuits

WL Ma, S Puri, RJ Schoelkopf, MH Devoret, SM Girvin… - Science Bulletin, 2021 - Elsevier
Bosonic modes have wide applications in various quantum technologies, such as optical
photons for quantum communication, magnons in spin ensembles for quantum information …

The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions

Á Capel, C Rouzé, DS França - arxiv preprint arxiv:2009.11817, 2020 - arxiv.org
Given a uniform, frustration-free family of local Lindbladians defined on a quantum lattice
spin system in any spatial dimension, we prove a strong exponential convergence in relative …

Finite-time stabilization control of quantum systems

S Kuang, X Guan, D Dong - Automatica, 2021 - Elsevier
The finite-time control problem of quantum systems is investigated in this paper. We first
define finite-time stability and present a finite-time Lyapunov stability criterion for finite …

Cutoff thermalization for Ornstein–Uhlenbeck systems with small Lévy noise in the Wasserstein distance

G Barrera, MA Högele, JC Pardo - Journal of Statistical Physics, 2021 - Springer
This article establishes cutoff thermalization (also known as the cutoff phenomenon) for a
class of generalized Ornstein–Uhlenbeck systems (X t ε (x)) t⩾ 0 with ε-small additive Lévy …

Locally optimal measurement-based quantum feedback with application to multiqubit entanglement generation

S Zhang, LS Martin, KB Whaley - Physical Review A, 2020 - APS
We present a general approach to measurement-based quantum feedback that employs
proportional and quantum state–(PaQS-) based feedback components to obtain locally …

Ergodicity bounds for stable Ornstein–Uhlenbeck systems in Wasserstein distance with applications to cutoff stability

G Barrera, MA Högele - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
This article establishes cutoff stability also known as abrupt thermalization for generic
multidimensional Hurwitz stable Ornstein–Uhlenbeck systems with (possibly degenerate) …

Cutoff ergodicity bounds in Wasserstein distance for a viscous energy shell model with Lévy noise

G Barrera, MA Högele, JC Pardo… - Journal of Statistical …, 2024 - Springer
This article establishes explicit non-asymptotic ergodic bounds in the renormalized
Wasserstein–Kantorovich–Rubinstein (WKR) distance for a viscous energy shell lattice …

Dissipative encoding of quantum information

G Baggio, F Ticozzi, PD Johnson, L Viola - arxiv preprint arxiv …, 2021 - arxiv.org
We formalize the problem of dissipative quantum encoding, and explore the advantages of
using Markovian evolution to prepare a quantum code in the desired logical space, with …

Alternating projections methods for discrete-time stabilization of quantum states

F Ticozzi, L Zuccato, PD Johnson… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We study sequences (both cyclic and randomized) of idempotent completely positive trace-
preserving quantum maps, and show how they asymptotically converge to the intersection of …

[BOOK][B] Quantum feedback for measurement and control

L Martin - 2019 - search.proquest.com
The standard quantum formalism introduced at the undergraduate level treats measurement
as an instantaneous collapse. In reality however, no physical process can occur over a truly …