Results 31 to 40 of about 166,406,602 (248)
Randomized Benchmarking beyond Groups
PRX Quantum, 2022 Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations but this can be problematic.
Jianxin Chen, Dawei Ding, Cupjin Huang
doaj +1 more source
The technique of splitting operators in perturbation control theory [PDF]
, 2005 summary:The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed ...
Christov, Nicolai D. +2 more
core +1 more source
Effective perturbation theory for linear operators
Journal of Operator Theory, 2017 We propose a new approach to the spectral theory of perturbed linear operators , in the case of a simple isolated eigenvalue. We obtain two kind of results: ''radius bounds'' which ensure perturbation theory applies for perturbations up to an explicit size, and ''regularity bounds'' which control the variations of eigendata to any order.
openaire +4 more sources
Lieb-Robinson bounds and out-of-time order correlators in a long-range spin chain
Physical Review Research, 2020 Lieb-Robinson bounds quantify the maximal speed of information spreading in nonrelativistic quantum systems. We discuss the relation of Lieb-Robinson bounds to out-of-time order correlators, which correspond to different norms of commutators C(r,t)=[A_{i}
Luis Colmenarez, David J. Luitz
doaj +1 more source
Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
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Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core +5 more sources
Observables, maximal symmetric operators, POV measures and their applications in quantum mechanics [PDF]
, 2015 Approximate observables, their description in terms of POV measures and the subsequent extension of the orthodox notion of observable are examined.
Fountain, Robert H.
core +2 more sources
Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
FEBS Letters, EarlyView.Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
wiley +1 more source
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source