Quantum Computing @ MIT: the Past, Present, and Future of the Second Revolution in Computing
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Everettian Probabilities, the Deutsch-Wallace Theorem and the Principal Principle
Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle Harvey R. Brown and Gal Ben Porath Chance, when strictly examined, is a mere negative word, and means not any real power which has anywhere a being in nature. David Hume (Hume, 2008) [The Deutsch-Wallace theorem] permits what philosophy would hitherto have regarded as a formal impossibility, akin to deriving an ought from an is, namely deriving a probability statement from a factual statement. This could be called deriving a tends to from a does. David Deutsch (Deutsch, 1999) [The Deutsch-Wallace theorem] is a landmark in decision theory. Nothing comparable has been achieved in any chance theory. [It] is little short of a philosophical sensation . it shows why credences should conform to [quantum chances]. Simon Saunders (Saunders, 'The Everett interpretation: probability' [unpublished manuscript]) Abstract This paper is concerned with the nature of probability in physics, and in quantum mechanics in particular. It starts with a brief discussion of the evolution of Itamar Pitowsky's thinking about probability in quantum theory from 1994 to 2008, and the role of Gleason's 1957 theorem in his derivation of the Born Rule. Pitowsky's defence of probability therein as a logic of partial belief leads us into a broader discussion of probability in physics, in which the existence of objective \chances" is questioned, and the status of David Lewis influential Principal Principle is critically examined. This is followed by a sketch of the work by David Deutsch and David Wallace which resulted in the Deutsch-Wallace (DW) theorem in Everettian quantum mechanics. -
Four Results of Jon Kleinberg a Talk for St.Petersburg Mathematical Society
Four Results of Jon Kleinberg A Talk for St.Petersburg Mathematical Society Yury Lifshits Steklov Institute of Mathematics at St.Petersburg May 2007 1 / 43 2 Hubs and Authorities 3 Nearest Neighbors: Faster Than Brute Force 4 Navigation in a Small World 5 Bursty Structure in Streams Outline 1 Nevanlinna Prize for Jon Kleinberg History of Nevanlinna Prize Who is Jon Kleinberg 2 / 43 3 Nearest Neighbors: Faster Than Brute Force 4 Navigation in a Small World 5 Bursty Structure in Streams Outline 1 Nevanlinna Prize for Jon Kleinberg History of Nevanlinna Prize Who is Jon Kleinberg 2 Hubs and Authorities 2 / 43 4 Navigation in a Small World 5 Bursty Structure in Streams Outline 1 Nevanlinna Prize for Jon Kleinberg History of Nevanlinna Prize Who is Jon Kleinberg 2 Hubs and Authorities 3 Nearest Neighbors: Faster Than Brute Force 2 / 43 5 Bursty Structure in Streams Outline 1 Nevanlinna Prize for Jon Kleinberg History of Nevanlinna Prize Who is Jon Kleinberg 2 Hubs and Authorities 3 Nearest Neighbors: Faster Than Brute Force 4 Navigation in a Small World 2 / 43 Outline 1 Nevanlinna Prize for Jon Kleinberg History of Nevanlinna Prize Who is Jon Kleinberg 2 Hubs and Authorities 3 Nearest Neighbors: Faster Than Brute Force 4 Navigation in a Small World 5 Bursty Structure in Streams 2 / 43 Part I History of Nevanlinna Prize Career of Jon Kleinberg 3 / 43 Nevanlinna Prize The Rolf Nevanlinna Prize is awarded once every 4 years at the International Congress of Mathematicians, for outstanding contributions in Mathematical Aspects of Information Sciences including: 1 All mathematical aspects of computer science, including complexity theory, logic of programming languages, analysis of algorithms, cryptography, computer vision, pattern recognition, information processing and modelling of intelligence. -
Quantum Computing
International Journal of Information Science and System, 2018, 6(1): 21-27 International Journal of Information Science and System ISSN: 2168-5754 Journal homepage: www.ModernScientificPress.com/Journals/IJINFOSCI.aspx Florida, USA Article Quantum Computing Adfar Majid*, Habron Rasheed Department of Electrical Engineering, SSM College of Engineering & Technology, Parihaspora, Pattan, J&K, India, 193121 * Author to whom correspondence should be addressed; E-Mail: [email protected] . Article history: Received 26 September 2018, Revised 2 November 2018, Accepted 10 November 2018, Published 21 November 2018 Abstract: Quantum Computing employs quantum phenomenon such as superposition and entanglement for computing. A quantum computer is a device that physically realizes such computing technique. They are different from ordinary digital electronic computers based on transistors that are vastly used today in a sense that common digital computing requires the data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), whereas quantum computation uses quantum bits, which can be in superposition of states. The field of quantum computing was initiated by the work of Paul Benioff and Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. Quantum computers are incredibly powerful machines that take this new approach to processing information. As such they exploit complex and fascinating laws of nature that are always there, but usually remain hidden from view. By harnessing such natural behavior (of qubits), quantum computing can run new, complex algorithms to process information more holistically. They may one day lead to revolutionary breakthroughs in materials and drug discovery, the optimization of complex manmade systems, and artificial intelligence. -
Navigability of Small World Networks
Navigability of Small World Networks Pierre Fraigniaud CNRS and University Paris Sud http://www.lri.fr/~pierre Introduction Interaction Networks • Communication networks – Internet – Ad hoc and sensor networks • Societal networks – The Web – P2P networks (the unstructured ones) • Social network – Acquaintance – Mail exchanges • Biology (Interactome network), linguistics, etc. Dec. 19, 2006 HiPC'06 3 Common statistical properties • Low density • “Small world” properties: – Average distance between two nodes is small, typically O(log n) – The probability p that two distinct neighbors u1 and u2 of a same node v are neighbors is large. p = clustering coefficient • “Scale free” properties: – Heavy tailed probability distributions (e.g., of the degrees) Dec. 19, 2006 HiPC'06 4 Gaussian vs. Heavy tail Example : human sizes Example : salaries µ Dec. 19, 2006 HiPC'06 5 Power law loglog ppk prob{prob{ X=kX=k }} ≈≈ kk-α loglog kk Dec. 19, 2006 HiPC'06 6 Random graphs vs. Interaction networks • Random graphs: prob{e exists} ≈ log(n)/n – low clustering coefficient – Gaussian distribution of the degrees • Interaction networks – High clustering coefficient – Heavy tailed distribution of the degrees Dec. 19, 2006 HiPC'06 7 New problematic • Why these networks share these properties? • What model for – Performance analysis of these networks – Algorithm design for these networks • Impact of the measures? • This lecture addresses navigability Dec. 19, 2006 HiPC'06 8 Navigability Milgram Experiment • Source person s (e.g., in Wichita) • Target person t (e.g., in Cambridge) – Name, professional occupation, city of living, etc. • Letter transmitted via a chain of individuals related on a personal basis • Result: “six degrees of separation” Dec. -
A Decade of Lattice Cryptography
Full text available at: http://dx.doi.org/10.1561/0400000074 A Decade of Lattice Cryptography Chris Peikert Computer Science and Engineering University of Michigan, United States Boston — Delft Full text available at: http://dx.doi.org/10.1561/0400000074 Foundations and Trends R in Theoretical Computer Science Published, sold and distributed by: now Publishers Inc. PO Box 1024 Hanover, MA 02339 United States Tel. +1-781-985-4510 www.nowpublishers.com [email protected] Outside North America: now Publishers Inc. PO Box 179 2600 AD Delft The Netherlands Tel. +31-6-51115274 The preferred citation for this publication is C. Peikert. A Decade of Lattice Cryptography. Foundations and Trends R in Theoretical Computer Science, vol. 10, no. 4, pp. 283–424, 2014. R This Foundations and Trends issue was typeset in LATEX using a class file designed by Neal Parikh. Printed on acid-free paper. ISBN: 978-1-68083-113-9 c 2016 C. Peikert All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, mechanical, photocopying, recording or otherwise, without prior written permission of the publishers. Photocopying. In the USA: This journal is registered at the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923. Authorization to photocopy items for in- ternal or personal use, or the internal or personal use of specific clients, is granted by now Publishers Inc for users registered with the Copyright Clearance Center (CCC). The ‘services’ for users can be found on the internet at: www.copyright.com For those organizations that have been granted a photocopy license, a separate system of payment has been arranged. -
Constraint Based Dimension Correlation and Distance
Preface The papers in this volume were presented at the Fourteenth Annual IEEE Conference on Computational Complexity held from May 4-6, 1999 in Atlanta, Georgia, in conjunction with the Federated Computing Research Conference. This conference was sponsored by the IEEE Computer Society Technical Committee on Mathematical Foundations of Computing, in cooperation with the ACM SIGACT (The special interest group on Algorithms and Complexity Theory) and EATCS (The European Association for Theoretical Computer Science). The call for papers sought original research papers in all areas of computational complexity. A total of 70 papers were submitted for consideration of which 28 papers were accepted for the conference and for inclusion in these proceedings. Six of these papers were accepted to a joint STOC/Complexity session. For these papers the full conference paper appears in the STOC proceedings and a one-page summary appears in these proceedings. The program committee invited two distinguished researchers in computational complexity - Avi Wigderson and Jin-Yi Cai - to present invited talks. These proceedings contain survey articles based on their talks. The program committee thanks Pradyut Shah and Marcus Schaefer for their organizational and computer help, Steve Tate and the SIGACT Electronic Publishing Board for the use and help of the electronic submissions server, Peter Shor and Mike Saks for the electronic conference meeting software and Danielle Martin of the IEEE for editing this volume. The committee would also like to thank the following people for their help in reviewing the papers: E. Allender, V. Arvind, M. Ajtai, A. Ambainis, G. Barequet, S. Baumer, A. Berthiaume, S. -
The Beginning of Infinity: Explanations That Transform the World Pdf, Epub, Ebook
THE BEGINNING OF INFINITY: EXPLANATIONS THAT TRANSFORM THE WORLD PDF, EPUB, EBOOK David Deutsch | 487 pages | 29 May 2012 | Penguin Putnam Inc | 9780143121350 | English | New York, NY, United States The Beginning of Infinity: Explanations That Transform the World PDF Book Every argument includes premises in support of a conclusion, but the premises themselves are left unargued. Nov 12, Gary rated it it was amazing Shelves: science. In other words we must have some form of evidence, and it must be coherent with our other beliefs. Nov 12, Gary rated it it was amazing Shelves: science. I can't say why exactly. It seems more to the point to think of it as something emotive — as the expression of a mood. This will lead to the development of explanatory theories variation , which can then be criticized and tested selection. Accuracy and precision are important standards in our evaluation of explanations; standards that are absent in bad explanations. Every argument includes premises in support of a conclusion, but the premises themselves are left unargued. Deutsch starts with explanations being the basis for knowledge, and builds up basic, hard-to-argue-with principles into convincing monoliths that smash some conventional interpretations of knowledge, science and philosophy to tiny pieces. His reliance on Popper is problematic. I will be re-reading them again until it really sinks in. Evolution, in contrast, represents a good explanation because it not only fits the evidence but the details are hard to vary. Barefoot Season Susan Mallery. But the "Occam's Razor" described by the author is not the one practiced in reality. -
Inter Actions Department of Physics 2015
INTER ACTIONS DEPARTMENT OF PHYSICS 2015 The Department of Physics has a very accomplished family of alumni. In this issue we begin to recognize just a few of them with stories submitted by graduates from each of the decades since 1950. We want to invite all of you to renew and strengthen your ties to our department. We would love to hear from you, telling us what you are doing and commenting on how the department has helped in your career and life. Alumna returns to the Physics Department to Implement New MCS Core Education When I heard that the Department of Physics needed a hand implementing the new MCS Core Curriculum, I couldn’t imagine a better fit. Not only did it provide an opportunity to return to my hometown, but Carnegie Mellon itself had been a fixture in my life for many years, from taking classes as a high school student to teaching after graduation. I was thrilled to have the chance to return. I graduated from Carnegie Mellon in 2008, with a B.S. in physics and a B.A. in Japanese. Afterwards, I continued to teach at CMARC’s Summer Academy for Math and Science during the summers while studying down the street at the University of Pittsburgh. In 2010, I earned my M.A. in East Asian Studies there based on my research into how cultural differences between Japan and America have helped shape their respective robotics industries. After receiving my master’s degree and spending a summer studying in Japan, I taught for Kaplan as graduate faculty for a year before joining the Department of Physics at Cornell University. -
High Energy Physics Quantum Computing
High Energy Physics Quantum Computing Quantum Information Science in High Energy Physics at the Large Hadron Collider PI: O.K. Baker, Yale University Unraveling the quantum structure of QCD in parton shower Monte Carlo generators PI: Christian Bauer, Lawrence Berkeley National Laboratory Co-PIs: Wibe de Jong and Ben Nachman (LBNL) The HEP.QPR Project: Quantum Pattern Recognition for Charged Particle Tracking PI: Heather Gray, Lawrence Berkeley National Laboratory Co-PIs: Wahid Bhimji, Paolo Calafiura, Steve Farrell, Wim Lavrijsen, Lucy Linder, Illya Shapoval (LBNL) Neutrino-Nucleus Scattering on a Quantum Computer PI: Rajan Gupta, Los Alamos National Laboratory Co-PIs: Joseph Carlson (LANL); Alessandro Roggero (UW), Gabriel Purdue (FNAL) Particle Track Pattern Recognition via Content-Addressable Memory and Adiabatic Quantum Optimization PI: Lauren Ice, Johns Hopkins University Co-PIs: Gregory Quiroz (Johns Hopkins); Travis Humble (Oak Ridge National Laboratory) Towards practical quantum simulation for High Energy Physics PI: Peter Love, Tufts University Co-PIs: Gary Goldstein, Hugo Beauchemin (Tufts) High Energy Physics (HEP) ML and Optimization Go Quantum PI: Gabriel Perdue, Fermilab Co-PIs: Jim Kowalkowski, Stephen Mrenna, Brian Nord, Aris Tsaris (Fermilab); Travis Humble, Alex McCaskey (Oak Ridge National Lab) Quantum Machine Learning and Quantum Computation Frameworks for HEP (QMLQCF) PI: M. Spiropulu, California Institute of Technology Co-PIs: Panagiotis Spentzouris (Fermilab), Daniel Lidar (USC), Seth Lloyd (MIT) Quantum Algorithms for Collider Physics PI: Jesse Thaler, Massachusetts Institute of Technology Co-PI: Aram Harrow, Massachusetts Institute of Technology Quantum Machine Learning for Lattice QCD PI: Boram Yoon, Los Alamos National Laboratory Co-PIs: Nga T. T. Nguyen, Garrett Kenyon, Tanmoy Bhattacharya and Rajan Gupta (LANL) Quantum Information Science in High Energy Physics at the Large Hadron Collider O.K. -
Creativity and Untidiness
Search Creativity and Untidiness Submitted by Sarah Fitz-Claridge on 13 September, 2003 - 22:59 A Taking Children Seriously interview from TCS 21 by Sarah Fitz-Claridge (http://www.fitz-claridge.com/) Many TCS readers will know David Deutsch for his contributions to Taking Children Seriously and to the TCS List on the Internet, and perhaps as co-author of Home Education and the Law. Some will also know that he is a theoretical physicist who has, among other things, pioneered the new field of quantum computation. There is a major article about his work in the October 1995 Discover magazine (the issue was devoted to “Seven Ideas that could Change the World”). He is often quoted in the media and regularly makes appearances on television and radio programmes. You may have seen his programme on the physics of time travel in BBC 2's Antenna series. Recently, David was featured in the Channel 4 science documentary series, Reality on the Rocks, in which the actor, Ken Campbell, asked leading scientists about the nature of reality. Those who saw Reality on the Rocks may have caught a glimpse of David's extraordinarily untidy study, at his home in Oxford. Ken Campbell was so struck by its untidiness that he talks about it in his one-man show, Mystery Bruises. He relates the story of the Japanese film crew who, upon asking to tidy up David's home before filming there, were told that they could do so, on condition that they returned everything – every piece of paper, every book, every computer disk – to the exact position where it had been on the floor or wherever, and how they did just that! I put it to David that some might be surprised that someone so untidy could be so successful. -
Adobe Acrobat PDF Document
BIOGRAPHICAL SKETCH of HUGH EVERETT, III. Eugene Shikhovtsev ul. Dzerjinskogo 11-16, Kostroma, 156005, Russia [email protected] ©2003 Eugene B. Shikhovtsev and Kenneth W. Ford. All rights reserved. Sources used for this biographical sketch include papers of Hugh Everett, III stored in the Niels Bohr Library of the American Institute of Physics; Graduate Alumni Files in Seeley G. Mudd Manuscript Library, Princeton University; personal correspondence of the author; and information found on the Internet. The author is deeply indebted to Kenneth Ford for great assistance in polishing (often rewriting!) the English and for valuable editorial remarks and additions. If you want to get an interesting perspective do not think of Hugh as a traditional 20th century physicist but more of a Renaissance man with interests and skills in many different areas. He was smart and lots of things interested him and he brought the same general conceptual methodology to solve them. The subject matter was not so important as the solution ideas. Donald Reisler [1] Someone once noted that Hugh Everett should have been declared a “national resource,” and given all the time and resources he needed to develop new theories. Joseph George Caldwell [1a] This material may be freely used for personal or educational purposes provided acknowledgement is given to Eugene B. Shikhovtsev, author ([email protected]), and Kenneth W. Ford, editor ([email protected]). To request permission for other uses, contact the author or editor. CONTENTS 1 Family and Childhood Einstein letter (1943) Catholic University of America in Washington (1950-1953). Chemical engineering. Princeton University (1953-1956). -
High Energy Physics Quantum Information Science Awards Abstracts
High Energy Physics Quantum Information Science Awards Abstracts Towards Directional Detection of WIMP Dark Matter using Spectroscopy of Quantum Defects in Diamond Ronald Walsworth, David Phillips, and Alexander Sushkov Challenges and Opportunities in Noise‐Aware Implementations of Quantum Field Theories on Near‐Term Quantum Computing Hardware Raphael Pooser, Patrick Dreher, and Lex Kemper Quantum Sensors for Wide Band Axion Dark Matter Detection Peter S Barry, Andrew Sonnenschein, Clarence Chang, Jiansong Gao, Steve Kuhlmann, Noah Kurinsky, and Joel Ullom The Dark Matter Radio‐: A Quantum‐Enhanced Dark Matter Search Kent Irwin and Peter Graham Quantum Sensors for Light-field Dark Matter Searches Kent Irwin, Peter Graham, Alexander Sushkov, Dmitry Budke, and Derek Kimball The Geometry and Flow of Quantum Information: From Quantum Gravity to Quantum Technology Raphael Bousso1, Ehud Altman1, Ning Bao1, Patrick Hayden, Christopher Monroe, Yasunori Nomura1, Xiao‐Liang Qi, Monika Schleier‐Smith, Brian Swingle3, Norman Yao1, and Michael Zaletel Algebraic Approach Towards Quantum Information in Quantum Field Theory and Holography Daniel Harlow, Aram Harrow and Hong Liu Interplay of Quantum Information, Thermodynamics, and Gravity in the Early Universe Nishant Agarwal, Adolfo del Campo, Archana Kamal, and Sarah Shandera Quantum Computing for Neutrino‐nucleus Dynamics Joseph Carlson, Rajan Gupta, Andy C.N. Li, Gabriel Perdue, and Alessandro Roggero Quantum‐Enhanced Metrology with Trapped Ions for Fundamental Physics Salman Habib, Kaifeng Cui1,