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Lecture
Correctness and Soundness of the Qubit Test
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Related lectures (57)
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Calculus of Variations: Ground States in Quantum Mechanics
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Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.
Functional Calculus: Simple Functions
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Covers the extension of functional calculus to simple functions and the concept of *-homomorphism.
Shor's factoring algorithm: Quantum Phase Estimation
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Covers Shor's factoring algorithm and the link between order finding and factoring.
Closest Vector Problem: Voronoi Cells
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Explores the Closest Vector Problem and Voronoi cells in lattice reduction algorithms.
Cauchy-Hadamard Theorem
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Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.
Equidistribution of CM Points
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Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Quantum and Nanocomputing: Qubit Realization & Control
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Covers the design, control, and readout of superconducting qubits.
Joint Equidistribution of CM Points
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Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.
Sparsest Cut: Leighton-Rao Algorithm
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Covers the Leighton-Rao algorithm for finding the sparsest cut in a graph, focusing on its steps and theoretical foundations.
Convergence of Random Walks
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Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.
Integer Cones
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Covers the concept of integer cones and Carathéodory's theorem with illustrative examples.
Fourier Transform: Properties and Applications
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Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.
Preliminaries in Measure Theory
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Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Quantum Eigenfunctions
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Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Cheeger's Inequality
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Explores Cheeger's inequality and its implications in graph theory.
Kinematics of Material Point
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Covers the kinematics of a material point, including orders of magnitude and practical applications.
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