Quantum Computing @ MIT: the Past, Present, and Future of the Second Revolution in Computing
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(CST Part II) Lecture 14: Fault Tolerant Quantum Computing
Quantum Computing (CST Part II) Lecture 14: Fault Tolerant Quantum Computing The history of the universe is, in effect, a huge and ongoing quantum computation. The universe is a quantum computer. Seth Lloyd 1 / 21 Resources for this lecture Nielsen and Chuang p474-495 covers the material of this lecture. 2 / 21 Why we need fault tolerance Classical computers perform complicated operations where bits are repeatedly \combined" in computations, therefore if an error occurs, it could in principle propagate to a huge number of other bits. Fortunately, in modern digital computers errors are so phenomenally unlikely that we can forget about this possibility for all practical purposes. Errors do, however, occur in telecommunications systems, but as the purpose of these is the simple transmittal of some information, it suffices to perform error correction on the final received data. In a sense, quantum computing is the worst of both of these worlds: errors do occur with significant frequency, and if uncorrected they will propagate, rendering the computation useless. Thus the solution is that we must correct errors as we go along. 3 / 21 Fault tolerant quantum computing set-up For fault tolerant quantum computing: We use encoded qubits, rather than physical qubits. For example we may use the 7-qubit Steane code to represent each logical qubit in the computation. We use fault tolerant quantum gates, which are defined such thata single error in the fault tolerant gate propagates to at most one error in each encoded block of qubits. By a \block of qubits", we mean (for example) each block of 7 physical qubits that represents a logical qubit using the Steane code. -
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. -
An Ecological Perspective on the Future of Computer Trading
An ecological perspective on the future of computer trading The Future of Computer Trading in Financial Markets - Foresight Driver Review – DR 6 An ecological perspective on the future of computer trading Contents 2. The role of computers in modern markets .................................................................................. 7 2.1 Computerization and trading ............................................................................................... 7 Execution................................................................................................................................7 Investment research ................................................................................................................ 7 Clearing and settlement ........................................................................................................... 7 2.2 A coarse preliminary taxonomy of computer trading .............................................................. 7 Execution algos....................................................................................................................... 8 Algorithmic trading................................................................................................................... 9 High Frequency Trading / Latency arbitrage............................................................................... 9 Algorithmic market making ....................................................................................................... 9 3. Ecology and evolution as key -
Arxiv:Quant-Ph/0110141V1 24 Oct 2001 Itr.Teuies a Aepromdn Oethan More Perf No Have Performed Can Have It Can Universe That the Operations History
Computational capacity of the universe Seth Lloyd d’ArbeloffLaboratory for Information Systems and Technology MIT Department of Mechanical Engineering MIT 3-160, Cambridge, Mass. 02139 [email protected] Merely by existing, all physical systems register information. And by evolving dynamically in time, they transform and process that information. The laws of physics determine the amount of information that aphysicalsystem can register (number of bits) and the number of elementary logic operations that a system can perform (number of ops). The universe is a physical system. This paper quantifies the amount of information that the universe can register and the number of elementary operations that it can have performed over its history. The universe can have performed no more than 10120 ops on 1090 bits. ‘Information is physical’1.ThisstatementofLandauerhastwocomplementaryinter- pretations. First, information is registered and processedbyphysicalsystems.Second,all physical systems register and process information. The description of physical systems in arXiv:quant-ph/0110141v1 24 Oct 2001 terms of information and information processing is complementary to the conventional de- scription of physical system in terms of the laws of physics. Arecentpaperbytheauthor2 put bounds on the amount of information processing that can beperformedbyphysical systems. The first limit is on speed. The Margolus/Levitin theorem3 implies that the total number of elementary operations that a system can perform persecondislimitedbyits energy: #ops/sec 2E/π¯h,whereE is the system’s average energy above the ground ≤ state andh ¯ =1.0545 10−34 joule-sec is Planck’s reduced constant. As the presence × of Planck’s constant suggests, this speed limit is fundamentally quantum mechanical,2−4 and as shown in (2), is actually attained by quantum computers,5−27 including existing 1 devices.15,16,21,23−27 The second limit is on memory space. -
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. -
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). -
Durham E-Theses
Durham E-Theses Quantum search at low temperature in the single avoided crossing model PATEL, PARTH,ASHVINKUMAR How to cite: PATEL, PARTH,ASHVINKUMAR (2019) Quantum search at low temperature in the single avoided crossing model, Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/13285/ Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in Durham E-Theses • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full Durham E-Theses policy for further details. Academic Support Oce, Durham University, University Oce, Old Elvet, Durham DH1 3HP e-mail: [email protected] Tel: +44 0191 334 6107 http://etheses.dur.ac.uk 2 Quantum search at low temperature in the single avoided crossing model Parth Ashvinkumar Patel A Thesis presented for the degree of Master of Science by Research Dr. Vivien Kendon Department of Physics University of Durham England August 2019 Dedicated to My parents for supporting me throughout my studies. Quantum search at low temperature in the single avoided crossing model Parth Ashvinkumar Patel Submitted for the degree of Master of Science by Research August 2019 Abstract We begin with an n-qubit quantum search algorithm and formulate it in terms of quantum walk and adiabatic quantum computation. -
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, -
Dawn of a New Paradigm Based on the Information-Theoretic View of Black Holes, Universe and Various Conceptual Interconnections of Fundamental Physics Dr
Turkish Journal of Computer and Mathematics Education Vol.12 No.2 (2021), 1208- 1221 Research Article Do They Compute? Dawn of a New Paradigm based on the Information-theoretic View of Black holes, Universe and Various Conceptual Interconnections of Fundamental Physics Dr. Indrajit Patra, an Independent Researcher Corresponding author’s email id: [email protected] Article History: Received: 11 January 2021; Accepted: 27 February 2021; Published online: 5 April 2021 _________________________________________________________________________________________________ Abstract: The article endeavors to show how thinking about black holes as some form of hyper-efficient, serial computers could help us in thinking about the more fundamental aspects of space-time itself. Black holes as the most exotic and yet simplest forms of gravitational systems also embody quantum fluctuations that could be manipulated to archive hypercomputation, and even if this approach might not be realistic, yet it is important since it has deep connections with various aspects of quantum gravity, the highly desired unification of quantum mechanics and general relativity. The article describes how thinking about black holes as the most efficient kind of computers in the physical universe also paves the way for developing new ideas about such issues as black hole information paradox, the possibility of emulating the properties of curved space-time with the collective quantum behaviors of certain kind of condensate fluids, ideas of holographic spacetime, gravitational -
Michael Bremner T + 44 1173315236 B [email protected] Skype: Mickbremner
Department of Computer Science University of Bristol Woodland Road BS8 1UB Bristol United Kingdom H +44 7887905572 Michael Bremner T + 44 1173315236 B [email protected] Skype: mickbremner Research Interests: Quantum simulation, computational complexity, quantum computing architectures, fault tolerance in quantum computing, and quantum control theory. Personal details Date of birth: 5th August 1978 Languages: English Nationality: Australian Marital status: Unmarried Education 2001–2005 PhD, Department of Physics, University of Queensland. Project: Characterizing entangling quantum dynamics. Supervised by Prof. Michael Nielsen and Prof. Gerard Milburn. 2000 BSc with Honours Class I, Department of Physics, University of Queensland. Project: Entanglement generation and tests of local realism in quantum optics. Supervised by Prof. Tim Ralph and Dr Bill Munro. 1997–1999 BSc (Physics), University of Queensland. 1996 Senior certificate, Villanova College, Brisbane. Completed high school education. Professional experience 2007–Present Postdoctoral researcher, Department of Computer Science, University of Bristol. Supervised by Prof. Richard Jozsa. 2005–2007 Postdoctoral researcher, Institute for Theoretical Physics and Institute for Quantum Optics and Quantum Information, University of Innsbruck. Supervised by Prof. Hans Briegel Scholarships and awards 2005 Dean’s commendation for excellence in a PhD thesis, University of Queensland. 2001–2005 Australian Postgraduate Award, Australian Research Council. 1998–1999 Scholarships for summer vacation research at the University of Queensland 1997–1999 Four Dean’s commendations for high achievement, University of Queensland. 1996 Australian Students Prize – Awarded to the top 500 students completing high school studies. 1/5 Recent conference presentations 2009 D. Shepherd (speaker) and M. J. Bremner Instantaneous Quantum Computation con- tributed talk at Quantum Information Processing 2009, Santa Fe. -
Quantum Information Science
Quantum Information Science Seth Lloyd Professor of Quantum-Mechanical Engineering Director, WM Keck Center for Extreme Quantum Information Theory (xQIT) Massachusetts Institute of Technology Article Outline: Glossary I. Definition of the Subject and Its Importance II. Introduction III. Quantum Mechanics IV. Quantum Computation V. Noise and Errors VI. Quantum Communication VII. Implications and Conclusions 1 Glossary Algorithm: A systematic procedure for solving a problem, frequently implemented as a computer program. Bit: The fundamental unit of information, representing the distinction between two possi- ble states, conventionally called 0 and 1. The word ‘bit’ is also used to refer to a physical system that registers a bit of information. Boolean Algebra: The mathematics of manipulating bits using simple operations such as AND, OR, NOT, and COPY. Communication Channel: A physical system that allows information to be transmitted from one place to another. Computer: A device for processing information. A digital computer uses Boolean algebra (q.v.) to processes information in the form of bits. Cryptography: The science and technique of encoding information in a secret form. The process of encoding is called encryption, and a system for encoding and decoding is called a cipher. A key is a piece of information used for encoding or decoding. Public-key cryptography operates using a public key by which information is encrypted, and a separate private key by which the encrypted message is decoded. Decoherence: A peculiarly quantum form of noise that has no classical analog. Decoherence destroys quantum superpositions and is the most important and ubiquitous form of noise in quantum computers and quantum communication channels. -
Spin-Photon Entanglement Realised by Quantum Dots Embedded in Waveguides
Master Thesis Spin-photon Entanglement Realised by Quantum Dots Embedded in Waveguides Mikkel Bloch Lauritzen Spin-photon Entanglement Realised by Quantum Dots Embedded in Waveguides Author Mikkel Bloch Lauritzen Advisor Anders S. Sørensen1 Advisor Peter Lodahl1 1Hy-Q, The Niels Bohr Institute Hy-Q The Niels Bohr Institute Submitted to the University of Copenhagen March 4, 2019 3 Abstract Spin-photon Entanglement Realised by Quantum Dots Embedded in Waveguides by Mikkel Bloch Lauritzen Quantum information theory is a relatively new and rapidly growing field of physics which in the last decades has made predictions of exciting features with no classical counterpart. The fact that the properties of quantum systems differ significantly from classical systems create opportunities for new communication protocols and sharing of information. Within all these applications, entanglement is an essential quantum feature. Having reliable sources of highly entangled qubits is paramount when apply- ing quantum information theory. The performance of these sources is limited both by unwanted interaction with the environment and by the performance of experimental equipment. In this thesis, two protocols which creates highly entangled spin-photon quantum states are presented and imperfections in the protocols are studied. The two spin-photon entanglement protocols are both realised by quantum dots embedded in waveguides. The studied imperfections relate to both the visibility of the system, the ability to separate the ground states, and the branching ratio of spontaneous decay, photon loss and phonon induced pure dephasing. In the study, realistic parameter values are applied which are based on experimental results. It is found, that the two studied protocols are promising and likely to perform well if applied in the laboratory to create highly entangled states.