PhD Proposal: Quantum algorithms for machine learning and

algorithms that have been developed for quantum computers. Two of those algorithms will be described in detail in this tutorial in order to better elucidate the study of quantum computing theory and quantum algorithm design. These two algorithms are good models for our current understanding of quantum computation as many other quantum algorithms

Quantum inspired algorithms for learning and control of

Quantum Algorithms and Learning Theory Academisch Proefschrift ter verkrijging van de graad van doctor aan de Universiteit van Amsterdam op gezag van de Rector Magni cus prof. dr. ir. K.I.J. Maex This thesis is based on the following papers. For the rst ve papers, the

Quantum algorithm for solving linear equations - YouTube

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Combinatorial algorithms for perturbation theory and

control techniques, this dissertation proposes quantum theory inspired algorithms for learning and control of both single-agent and multi-agent stochastic systems. A common problem encountered in traditional reinforcement learning techniques is the exploration-exploitation trade-off. To address the above issue an action selection

3 Quantum Algorithms and Applications | Quantum Computing

Mar 23, 2013 · Covers all topics, including wave particle duality, Schrodinger's cat, EPR / Bell inequality, and the relationship between measurement and entanglement. Quantum Mechanics and Quantum …

"Quantum Algorithm Animator" by Lori Eileen Nicholson

In this dissertation, we find quantum algorithms for mathematical problems that are clas-sically hard. First, we discuss the quantum complexity of evaluating the Tutte polynomial of a planar graph. Furthermore, we devise a new quantum phase estimation algorithm us-

CHAPTER 1. INTRODUCTION 3 the “standard model” for quantum computation. As part of this thesis work is moti- vated by the restrictions of bulk liquid-state NMR quantum computers, this physical system is described in Sec. 1.5.

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when using QuAL‟s initial prototype. Possible reasons include the animator‟s. presentation of concepts and the study‟s pedagogical framework such as choice of. algorithm (Wallace and Narayanan‟s sorting algorithm), design of pre- and post tests, and. the study‟s small size …

Dissertation On Animation Of Quantum Algorithm

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What are some hot topics in quantum computing research

Quantum mechanics imposes conditions on which linear transformations are legal operators. In particular, the operation must be reversible, and it must preserve the length of the state vector [].If we impose the condition that the sum of the kinetic and potential energy (called the Hamiltonian) of our quantum memory register is constant, then all legal operators have unitary matrix representations.

Feb 07, 2011 · A special lecture entitled "Quantum algorithm for solving linear equations" by Seth Lloyd from the Massachusetts Institute of Technology, Cambridge, USA.

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Algorithms Bridging Quantum Computation and Chemistry

This thesis is about quantum algorithms, complexity, and models of quantum computation. In order to discuss these topics it is necessary to use notations and concepts from classical computer science, which I define in this section. The “big-O” family of notations greatly aids in analyzing both classical and quantum

QUANTUM COMPUTING UNDER REAL-WORLD

COMPLEX SYSTEMS TO QUANTUM COMPUTING AND ALGORITHM DEVELOPMENT A Dissertation by ZHENG ZHU Submitted to the O ce of Graduate and Professional Studies of Texas A&M University in partial ful llment of the requirements for the degree of DOCTOR OF PHILOSOPHY Chair of Committee, Helmut G. Katzgraber Committee Members, Stephen A. Fulling Wolfgang

SIMULATING GROVER’S QUANTUM SEARCH IN A CLASSICAL

Quantum Algorithms for Linear Algebra and Machine Learning by Anupam Prakash B.Tech., IIT Kharagpur 2008 A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Electrical Engineering and Computer Sciences in the GRADUATE DIVISION of the UNIVERSITY OF CALIFORNIA, BERKELEY Committee in charge:

Quantum Algorithms and Learning Theory

classical algorithm. However, a quantum computer would be subject to noise and may only be useful for selected problems which must be identi ed and solved with carefully designed algorithms. Research in the eld of quantum algorithms o ers ways to address these issues. In this thesis, we focus on

Unitary Operators - quantum-algorithms.herokuapp.com

SIMULATING GROVER’S QUANTUM SEARCH IN A CLASSICAL COMPUTER development of new quantum algorithms. One of quantum algorithms is Grover algorithm, which This thesis concern on simulating Grover algorithm in a classical computer using Quan-tum Computer Language (QCL). The program can search a desired element in an unsorted

INTRODUCTION TO QUANTUM ALGORITHMS - arXiv

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Quantum Algorithm Animator

A finite-depth decoding circuit corresponding to the stabilizer exists by the algorithm given in (Grassl and Roetteler 2006). Example. Forney et al. provided an example of a rate-1/3 quantum convolutional code by importing a particular classical quaternary convolutional code (Forney and Guha 2005).

Optimization Algorithms in Wireless and Quantum

This study introduces quantum computing to computer science students using a quantum algorithm animator called QuAL. QuAL's design uses features common to classical algorithm animators guided by an exploratory study but refined to animate the esoteric and interesting aspects of quantum algorithms.

Lower bounds for both classical and quantum algorithms have been attained in the past by analyzing the behavior of the algorithm in the face of an adversary. Ambainis uses a quantum adversary as the basis for his lower bound theorem; instead of running a quantum algorithm against one input, it is run against a superposition of inputs.

Dissertation On Animation Of Quantum Algorithm

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Dissertation On Animation Of Quantum Algorithm

The theories of machine learning and optimization answer foundational questions in computer science and lead to new algorithms for practical applications. While these topics have been extensively studied in the context of classical computing, their quantum counterparts are far from well-understood.