Quantam Computing

The Church-Turing Thesis The Church-Turing Thesis Notes
  There are various equivalent formulations of the Church-Turing thesis. A common one is that every effective computation can be carried out by a Turing machine.
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Simon’s Algorithm Simon’s Algorithm Notes
  The reason why we looked at the particular ?black-box? problems from the previous couple of lectures is because they give examples in which quantum algorithms give some advantage over classical algorithms.
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The Schmidt Decomposition And Purifications The Schmidt Decomposition And Purifications Notes
  Density operators and the partial trace are just the beginning of a wide array of tools useful for the study of composite quantum systems, which are at the heart of quantum computation and quantum information.
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Schmidt Decomposition Schmidt Decomposition Notes
  Consider two Hilbert spaces and with dimensions and respectively. We may construct the tensor product space and write a general state as
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Quantum Computing An Introduction Quantum Computing An Introduction Notes
  He suggested in 1982 that quantum computers might have fundamentally more powerful computational abilities than conventional ones (basing his conjecture on the extreme difficulty encountered in computing the result of quantum mechanical processes
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Quantum Circuit Models Quantum Circuit Models Notes
  A classical circuit implements a multi-output boolean function , given as primitive a finite collection of gates each of which implements a boolean function on k bits for some small k. The picture of the circuit
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Quantum Circuit Complexity Quantum Circuit Complexity Notes
  We study a complexity model of quantum circuits analogous to the standard Boolean Circuit model.
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Quantum Circuit Model Quantum Circuit Model Notes
  To explain the quantum circuit model of computation.To explain Deutsch’s algorithm. To explain an alternate model of quantum computation based upon measurement.
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Quantum Computing Quantum Computing  Notes
  Strange as it sounds, the computer of tomorrow could be built around a cup of coffee. The caffeine molecule is just one of the possible building blocks of a 'quantum computer', a new type of computer that promises to provide mind boggling performance that can break secret codes in a matter of seconds.
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Introduction To Quantum Computing Introduction To Quantum Computing Notes
  Basic facts about quantum computing, Grover’s search,The hidden subgroup problem,etc..,
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Quantum Computing - Lecture Notes Quantum Computing - Lecture Notes Notes
  The following lecture notes are based on the book Quantum Computation and Quantum Information by Michael A. Nielsen and Isaac L. Chuang. They are for a math-based quantum computing course that I teach here at the University of Washington to computer science graduate students (with advanced undergraduates admitted upon request)
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Quantum algorithms Quantum algorithms Notes
  This book started with the world's oldest and most widely used algorithms (the ones for adding and multiplying numbers) and an ancient hard problem (FACTORING).
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Main features Main features Notes
  The main drawback of the search with the minimal A(x) (see Deterministic Finite Automaton) is the size of the automaton
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Defining the Quantum Computer Defining the Quantum Computer Notes
  The Turing machine, developed by Alan Turing in the 1930s, is a theoretical device that consists of tape of unlimited length that is divided into little squares. Each square can either hold a symbol (1 or 0) or be left blank.
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