A Mathematician's Lament
by Paul Lockhart
A
musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. "We are helping our students become more competitive in an increasingly sound-f
A knot theory of physics, spacetime in co-dimension 2
C. Ellgen
(Dated: January 23, 2009)
Abstract
Spacetime is assumed to be a 4-dimensional manifold embedded in a 6-dimensional space. The spacetime manifold can be knotted and those knots correspond to p
A Field Guide to Genetic Programming
Riccardo Poli Department of Computing and Electronic Systems University of Essex UK rpoli@essex.ac.uk William B. Langdon Departments of Biological and Mathematical Sciences University of Essex UK wlangdon@essex.ac.uk N
A concise introduction to quantum probability, quantum mechanics, and quantum computation
Greg Kuperberg
UC Davis, visiting Cornell University (Dated: 2005)
Quantum mechanics is one of the most interesting and surprising pillars of modern physics. Its bas
A 2 rebit gate universal for quantum computing
Terry Rudolph and Lov Grover
Bell Labs, 600-700 Mountain Ave., Murray Hill, NJ 07974, U.S.A. (Dated: February 1, 2008) We show, within the circuit model, how any quantum computation can be eciently performed
The 21 cm Line: Hyperne Structure and Applications to Astrophysics
Chris Chronopoulos
June 3, 2007
Abstract In this paper, we focus on the quantum mechanical nature of the 21 cm emission line of neutral hydrogen. The cause and characteristics of the emiss
3+1 Formalism
arXiv:gr-qc/0703035v1 6 Mar 2007
and Bases of Numerical Relativity
Lecture notes
Eric Gourgoulhon
Laboratoire Univers et Thories, e UMR 8102 du C.N.R.S., Observatoire de Paris, Universit Paris 7 e F-92195 Meudon Cedex, France eric.gourgoulh
2D Asymmetric Tensor Analysis
Xiaoqiang Zheng Alex Pang
Computer Science Department University of California, Santa Cruz, CA 95064
A BSTRACT Analysis of degenerate tensors is a fundamental step in nding the topological structures and separatrices in tenso
CHAPTER
I
ELEMENTARY DIFFERENTIAL GEOMETRY
1-3. When a Euclidean space is stripped of its vector space structure and only its differentiable structure retained, there are many ways of piecing together domains of it in a smooth manner, thereby obtaining a
Eigenvalues of ( + R ) on Manifolds with 2 Nonnegative Curvature Operator
Xiaodong Cao cao@math.columbia.edu May 12, 2006
Abstract In this paper, we show that the eigenvalues of ( + R ) are nondecreas2 ing under the Ricci ow for manifolds with nonnegative
Ecient discrete-time simulations of continuous-time quantum query algorithms
R. Cleve,1, 2, D. Gottesman,2, M. Mosca,1, 2, R. D. Somma,2, and D. L. Yonge-Mallo1,
1
Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1, Canada 2 Pe
Page 1 of 62
MCM 2008
Team #3780
Ease and Toil: Analyzing Sudoku
February 18, 2008
Look at any current magazine, newspaper, computer game package or handheld gaming device and you likely nd sudoku, the latest puzzle game sweeping the nation. Sudoku is a n
DNA Computing: Concept and Design
Ruoya Wang April 21, 2008 MATH 8803 Final presentation
1
The DNA molecule
Serves as a long-term storage of genetic information. The information is stored as unique sequences composed of two base pairs: AT and GC. The com
Novel techniques for Numerical Relativity
Discrete techniques for Numerical Relativity
Manuel Tiglio
Hearne Institute for Theoretical Physics Louisiana State University In collaboration with G. Calabrese, L. Lehner, D. Neilsen, J. Pullin, O. Reula, O. Sar
A New Hierarchical Genetic Algorithm Approach to Determine Pulse Sequences in NMR
Ashok Ajoy1, 2, and Anil Kumar2
1 Birla
Institute of Technology and Science - Pilani, Zuarinagar, Goa - 403726, India. Research Centre, Indian Institute of Science, Bangalor
Quantum Information and Computation, Vol. 1, No. 0 (2001) 000000 c Rinton Press
BOOK REVIEW on
arXiv:quant-ph/0206089v2 30 Jul 2002
A New Kind of Science by Stephen Wolfram Wolfram Media, Inc., May 2002 Hardcover $44.95 (1192 pages) ISBN: 1579550088
Someb
AQUA@home
white paper
December 9, 2008
Founder and Chief Technology Officer
Dr. Geordie Rose
D-Wave Systems Inc.
rose@dwavesys.com
ABOUT D-WAVE
D-Wave is developing a new class of highperformance computing system designed to solve complex optimization pro
Approximating Fractional Time Quantum Evolution
L. Sheridan
Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
D. Maslov
Institute for Quantum Computing, University of Waterloo, Waterloo, ON, N2L 3G1, Canada and Nationa
Approximate Quantum Cloning with Nuclear Magnetic Resonance
Holly K. Cummins,1 Claire Jones,2 Alistair Furze,2 Nicholas F. Soe,3 Michele Mosca,4 Josephine M. Peach,2 and Jonathan A. Jones1, 3,
1 Centre for Quantum Computation, Clarendon Laboratory, Unive
Proceedings of Symposia in Applied Mathematics
arXiv:quant-ph/0004072v1 18 Apr 2000
An Introduction to Quantum Error Correction
Daniel Gottesman
Abstract. Quantum states are very delicate, so it is likely some sort of quantum error correction will be nece
Preprint typeset in JHEP style - HYPER VERSION
An Exceptionally Simple Theory of Everything
arXiv:0711.0770v1 [hep-th] 6 Nov 2007
A. Garrett Lisi
SLRI, 722 Tyner Way, Incline Village, NV 89451 E-mail: alisi@hawaii.edu
Abstract: All elds of the standard mo
Instructions for Preparation of Papers and Monographs
A AMS-LTEX
Version 2.20 August 2004
Contents 1. Introduction 2. Article preparation Starting a new article 3. The preamble Packages New commands 4. Top matter Summary of tags and elements Title Author
Math 872
Algebraic Topology
Running lecture notes Homology theory: Fundamental groups are a remarkably powerful tool for studying spaces; they capture a great deal of the global structure of a space, and so they are very good a distinguishing between homo
A TOPOLOGICAL PHASE IN A QUANTUM GRAVITY MODEL
arXiv:0812.2278v1 [cond-mat.str-el] 12 Dec 2008
SOLVAY CONFERENCE TALK, OCTOBER 2008
MICHAEL H. FREEDMAN
Introduction The concept of a topological phase may be traced to the interpretation [1] of the integer
A solvable model of quantum random optimization problems
Laura Foini,1, 2 Guilhem Semerjian,1 and Francesco Zamponi1
1
LPTENS, CNRS UMR 8549, associe ` lUPMC Paris 06, 24 Rue Lhomond, 75005 Paris, France. ea 2 SISSA and INFN, Sezione di Trieste, via Bonom
A Short History of Computational Complexity
Lance Fortnow NEC Research Institute 4 Independence Way Princeton, NJ 08540 Steve Homer Computer Science Department Boston University 111 Cummington Street Boston, MA 02215
November 14, 2002
1
Introduction
It al
A quantum Bose-Hubbard model with evolving graph as toy model for emergent spacetime
Alioscia Hamma,1, Fotini Markopoulou,1 Seth Lloyd,2 Francesco Caravelli,1, 3 Simone Severini,4 and Klas Markstr m5 o
Perimeter Institute for Theoretical Physics, 31 Carol
A quantum Bose-Hubbard model with evolving graph as toy model for emergent spacetime
Alioscia Hamma,1, Fotini Markopoulou,1 Seth Lloyd,2 Francesco Caravelli,1, 3 Simone Severini,4 and Klas Markstr m5 o
Perimeter Institute for Theoretical Physics, 31 Carol
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
arXiv:quant-ph/0104129v1 26 Apr 2001
Edward Farhi, Jerey Goldstone
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139
Sa