In quantum information and quantum computing, a cluster state is a type of highly entangled state of multiple qubits. Cluster states are generated in lattices of qubits with Ising type interactions. A cluster C is a connected subset of a d-dimensional lattice, and a cluster state is a pure state of the qubits located on C. They are different from other types of entangled states such as GHZ states or W states in that it is more difficult to eliminate quantum entanglement (via projective measurements) in the case of cluster states. Another way of thinking of cluster states is as a particular instance of graph states, where the underlying graph is a connected subset of a d-dimensional lattice. Cluster states are especially useful in the context of the one-way quantum computer. For a comprehensible introduction to the topic see. Formally, cluster states are states which obey the set eigenvalue equations: where are the correlation operators with and being Pauli matrices, denoting the neighbourhood of and being a set of binary parameters specifying the particular instance of a cluster state. (Wikipedia).
Clustering 1: monothetic vs. polythetic
Full lecture: http://bit.ly/K-means The aim of clustering is to partition a population into sub-groups (clusters). Clusters can be monothetic (where all cluster members share some common property) or polythetic (where all cluster members are similar to each other in some sense).
From playlist K-means Clustering
Hierarchical Clustering 5: summary
[http://bit.ly/s-link] Summary of the lecture.
From playlist Hierarchical Clustering
We will look at the fundamental concept of clustering, different types of clustering methods and the weaknesses. Clustering is an unsupervised learning technique that consists of grouping data points and creating partitions based on similarity. The ultimate goal is to find groups of simila
From playlist Data Science in Minutes
Teach Astronomy - Clustered Distribution
http://www.teachastronomy.com/ Sometimes stars appear to be close to each other on the plane of the sky, but how do we know if these stars are physically close to each other in three dimensional space? For an individual pair of stars, without additional information, we don't know, but for
From playlist 17. Galactic Mass Distribtuion and Galaxy Structure
Teach Astronomy - Galaxy Clusters
http://www.teachastronomy.com/ Galaxy clusters contain anywhere from hundreds to thousands of galaxies, and there is no fixed demarcation between what is considered a galaxy group and a cluster. In the early 1960s astronomer George Abell cataloged twenty-seven hundred clusters in the nort
From playlist 20. Galaxy Interaction and Motion
From playlist Thinking about Data
Clustering (2): Hierarchical Agglomerative Clustering
Hierarchical agglomerative clustering, or linkage clustering. Procedure, complexity analysis, and cluster dissimilarity measures including single linkage, complete linkage, and others.
From playlist cs273a
Clustering 2: soft vs. hard clustering
Full lecture: http://bit.ly/K-means A hard clustering means we have non-overlapping clusters, where each instance belongs to one and only one cluster. In a soft clustering method, a single individual can belong to multiple clusters, often with a confidence (belief) associated with each cl
From playlist K-means Clustering
First examples of cluster structures on coordinate algebras, (Lecture 2) by Maitreyee Kulkarni
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Mod-01 Lec-11 Surface Effects and Physical properties of nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
Michael Lindsey - Quantum embedding with lower bounds - IPAM at UCLA
Recorded 28 March 2022. Michael Lindsey of the Courant Institute of Mathematical Sciences, Mathematics, presents "Quantum embedding with lower bounds" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Abstract: We present quantum embedding theories based on relaxations of the
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Zhongyang Li: "XOR Ising model and constrained percolation"
Asymptotic Algebraic Combinatorics 2020 "XOR Ising model and constrained percolation" Zhongyang Li - University of Connecticut Abstract: I will discuss the percolation properties of the critical and non-critical XOR Ising models in the 2D Euclidean plane and in the hyperbolic plane, whos
From playlist Asymptotic Algebraic Combinatorics 2020
Mod-01 Lec-23 Electrical, Magnetic and Optical Properties of Nanomaterials
Nanostructures and Nanomaterials: Characterization and Properties by Characterization and Properties by Dr. Kantesh Balani & Dr. Anandh Subramaniam,Department of Nanotechnology,IIT Kanpur.For more details on NPTEL visit http://nptel.ac.in.
From playlist IIT Kanpur: Nanostructures and Nanomaterials | CosmoLearning.org
Reinhold Schneider - Multi-Reference Coupled Cluster for Computation of Excited States & Tensors
Recorded 29 March 2023. Reinhold Schneider of the Technische Universität Berlin presents "A Multi-Reference Coupled Cluster Method for the Computation of Excited States and Tensor Networks (QC-DMRG)" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale C
From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing
AQC 2016 - What is the Computational Value of Finite Range Tunneling?
A Google TechTalk, June 27, 2016, presented by Vasil Denchev (Google) ABSTRACT: Quantum annealing (QA) has been proposed as a quantum enhanced optimization heuristic exploiting tunneling. Here, we demonstrate how finite range tunneling can provide considerable computational advantage. For
From playlist Adiabatic Quantum Computing Conference 2016
Serhiy Yanchuk - Adaptive dynamical networks: from multiclusters to recurrent synchronization
Recorded 02 September 2022. Serhiy Yanchuk of Humboldt-Universität presents "Adaptive dynamical networks: from multiclusters to recurrent synchronization" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: Adaptive dynamical networks is
From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond
PSHSummit 2022 - Inside Kubernetes Architecture Fundamentals by Anthony Nocentino
PowerShell Summit videos are recorded on a "best effort" basis. We use a room mic to capture as much room audio as possible, with an emphasis on capturing the speaker. Our recordings are made in a way that minimizes overhead for our speakers and interruptions to our live audience. These re
From playlist PowerShell + DevOps Global Summit 2022
Sylvia Frühwirth-Schnatter: Bayesian econometrics in the Big Data Era
Abstract: Data mining methods based on finite mixture models are quite common in many areas of applied science, such as marketing, to segment data and to identify subgroups with specific features. Recent work shows that these methods are also useful in micro econometrics to analyze the beh
From playlist Probability and Statistics
First examples of cluster structures on coordinate algebras,... (Lecture 1) by Maitreyee Kulkarni
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
Rule #2: Double Tap. An Elasticsearch Journey of Resiliency - George Kobar - REdeploy 2019
At Elastic, our goal is to continuously improve upon the resiliency of Elasticsearch and our other open source software. With each new feature or improvement has brought a new set of resiliency challenges and unintended consequences. Including creating zombies and split brain applications/
From playlist REdeploy 2019