Experimental engineering of high-dimensional quantum states is a crucial task for several information protocols. However, high degree precision in the characterization noisy experimental apparatus required to apply existing quantum-state This often lacking practical scenarios, affecting quality engineered states. We implement, experimentally, an automated adaptive optimization protocol engineer...

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scr...

Dynamical decoupling is a technique that protects qubits against noise. The ability to preserve quantum coherence in the presence of noise essential for developing devices. Here, Rigetti computing platform was used test different dynamical sequences single qubit. performance characterized by process tomography and analyzed using channels formalism. Pulse imperfections are shown here limit on Ri...

This paper is concerned with the study of fuzzy dynamical systems. Let (XM ) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map dened on X. We introduce the various fuzzy shad- owing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved.

Time series data of high dimensions are frequently encountered in fields like robotics, computer vision, economics and motion capture. In this survey paper we look first at Gaussian Process Latent Variable Model (GPLVM) which is a probabilistic nonlinear dimensionality reduction method. Further we discuss Gaussian Process Dynamical Model (GPDMs) which are based GPLVM. GPDM is a probabilistic ap...