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From Fantasy to Reality Quantum Computing Is Coming to the Marketplace
Signals for Strategists From fantasy to reality Quantum computing is coming to the marketplace By David Schatsky and Ramya Kunnath Puliyakodil Introduction: A new way Signals to solve computationally • In the last three years, venture capital investors have intensive problems placed $147 million with quantum computing start- ups; governments globally have provided $2.2 billion RANTED, quantum computing is hard to explain. in support to researchers1 But that hasn’t stopped the fantastical tech- Gnology from attracting billions of dollars of R&D • Some of the world’s leading tech companies have investment, catching the eye of venture capital firms, active quantum computing programs and spurring research programs at big tech companies • Financial services, aerospace and defense, and public and enterprises. Some companies are getting a head sector organizations are researching quantum com- start on applying quantum technology to computation- puting applications ally intensive problems in finance, risk management, cybersecurity, materials science, energy, and logistics. • Quantum computer maker D-Wave Systems announced the general availability of its next- 1 From fantasy to reality Quantum computing is coming to desktops generation computer, along with a first customer for particles—that is, objects smaller than atoms. For the new system2 instance, electrons can exist in multiple distinct states at the same time, a phenomenon known as superposi- • VC firm Andreessen Horowitz has signaled its inten- tion. And it’s impossible to know for sure at any given tion to fund quantum computing start-ups3 instant what state an electron may be in, because the • Standards-setting bodies are seeking a transition very act of observing the state changes it. -
Chapter 3 Quantum Circuit Model of Computation
Chapter 3 Quantum Circuit Model of Computation 3.1 Introduction In the previous chapter we saw that any Boolean function can be computed from a reversible circuit. In particular, in principle at least, this can be done from a small set of universal logical gates which do not dissipate heat dissi- pation (so we have logical reversibility as well as physical reversibility. We also saw that quantum evolution of the states of a system (e.g. a collection of quantum bits) is unitary (ignoring the reading or measurement process of the bits). A unitary matrix is of course invertible, but also conserves entropy (at the present level you can think of this as a conservation of scalar prod- uct which implies conservation of probabilities and entropies). So quantum evolution is also both \logically" and physically reversible. The next natural question is then to ask if we can use quantum operations to perform computational tasks, such as computing a Boolean function? Do the principles of quantum mechanics bring in new limitations with respect to classical computations? Or do they on the contrary bring in new ressources and advantages? These issues were raised and discussed by Feynman, Benioff and Manin in the early 1980's. In principle QM does not bring any new limitations, but on the contrary the superposition principle applied to many particle systems (many qubits) enables us to perform parallel computations, thereby speed- ing up classical computations. This was recognized very early by Feynman who argued that classical computers cannot simulate efficiently quantum me- chanical processes. The basic reason is that general quantum states involve 1 2 CHAPTER 3. -
Luigi Frunzio
THESE DE DOCTORAT DE L’UNIVERSITE PARIS-SUD XI spécialité: Physique des solides présentée par: Luigi Frunzio pour obtenir le grade de DOCTEUR de l’UNIVERSITE PARIS-SUD XI Sujet de la thèse: Conception et fabrication de circuits supraconducteurs pour l'amplification et le traitement de signaux quantiques soutenue le 18 mai 2006, devant le jury composé de MM.: Michel Devoret Daniel Esteve, President Marc Gabay Robert Schoelkopf Rapporteurs scientifiques MM.: Antonio Barone Carlo Cosmelli ii Table of content List of Figures vii List of Symbols ix Acknowledgements xvii 1. Outline of this work 1 2. Motivation: two breakthroughs of quantum physics 5 2.1. Quantum computation is possible 5 2.1.1. Classical information 6 2.1.2. Quantum information unit: the qubit 7 2.1.3. Two new properties of qubits 8 2.1.4. Unique property of quantum information 10 2.1.5. Quantum algorithms 10 2.1.6. Quantum gates 11 2.1.7. Basic requirements for a quantum computer 12 2.1.8. Qubit decoherence 15 2.1.9. Quantum error correction codes 16 2.2. Macroscopic quantum mechanics: a quantum theory of electrical circuits 17 2.2.1. A natural test bed: superconducting electronics 18 2.2.2. Operational criteria for quantum circuits 19 iii 2.2.3. Quantum harmonic LC oscillator 19 2.2.4. Limits of circuits with lumped elements: need for transmission line resonators 22 2.2.5. Hamiltonian of a classical electrical circuit 24 2.2.6. Quantum description of an electric circuit 27 2.2.7. Caldeira-Leggett model for dissipative elements 27 2.2.8. -
Optimization of Reversible Circuits Using Toffoli Decompositions with Negative Controls
S S symmetry Article Optimization of Reversible Circuits Using Toffoli Decompositions with Negative Controls Mariam Gado 1,2,* and Ahmed Younes 1,2,3 1 Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21568, Egypt; [email protected] 2 Academy of Scientific Research and Technology(ASRT), Cairo 11516, Egypt 3 School of Computer Science, University of Birmingham, Birmingham B15 2TT, UK * Correspondence: [email protected]; Tel.: +203-39-21595; Fax: +203-39-11794 Abstract: The synthesis and optimization of quantum circuits are essential for the construction of quantum computers. This paper proposes two methods to reduce the quantum cost of 3-bit reversible circuits. The first method utilizes basic building blocks of gate pairs using different Toffoli decompositions. These gate pairs are used to reconstruct the quantum circuits where further optimization rules will be applied to synthesize the optimized circuit. The second method suggests using a new universal library, which provides better quantum cost when compared with previous work in both cost015 and cost115 metrics; this proposed new universal library “Negative NCT” uses gates that operate on the target qubit only when the control qubit’s state is zero. A combination of the proposed basic building blocks of pairs of gates and the proposed Negative NCT library is used in this work for synthesis and optimization, where the Negative NCT library showed better quantum cost after optimization compared with the NCT library despite having the same circuit size. The reversible circuits over three bits form a permutation group of size 40,320 (23!), which Citation: Gado, M.; Younes, A. -
Multi-Mode Ultra-Strong Coupling in Circuit Quantum Electrodynamics
www.nature.com/npjqi ARTICLE OPEN Multi-mode ultra-strong coupling in circuit quantum electrodynamics Sal J. Bosman1, Mario F. Gely1, Vibhor Singh2, Alessandro Bruno3, Daniel Bothner1 and Gary A. Steele1 With the introduction of superconducting circuits into the field of quantum optics, many experimental demonstrations of the quantum physics of an artificial atom coupled to a single-mode light field have been realized. Engineering such quantum systems offers the opportunity to explore extreme regimes of light-matter interaction that are inaccessible with natural systems. For instance the coupling strength g can be increased until it is comparable with the atomic or mode frequency ωa,m and the atom can be coupled to multiple modes which has always challenged our understanding of light-matter interaction. Here, we experimentally realize a transmon qubit in the ultra-strong coupling regime, reaching coupling ratios of g/ωm = 0.19 and we measure multi-mode interactions through a hybridization of the qubit up to the fifth mode of the resonator. This is enabled by a qubit with 88% of its capacitance formed by a vacuum-gap capacitance with the center conductor of a coplanar waveguide resonator. In addition to potential applications in quantum information technologies due to its small size, this architecture offers the potential to further explore the regime of multi-mode ultra-strong coupling. npj Quantum Information (2017) 3:46 ; doi:10.1038/s41534-017-0046-y INTRODUCTION decreasing gate times20 as well as the performance of quantum 21 Superconducting circuits such as microwave cavities and Joseph- memories. With very strong coupling rates, the additional modes son junction based artificial atoms1 have opened up a wealth of of an electromagnetic resonator become increasingly relevant, new experimental possibilities by enabling much stronger light- and U/DSC can only be understood in these systems if the multi- matter coupling than in analog experiments with natural atoms2 mode effects are correctly modeled. -
Concentric Transmon Qubit Featuring Fast Tunability and an Anisotropic Magnetic Dipole Moment
Concentric transmon qubit featuring fast tunability and an anisotropic magnetic dipole moment Cite as: Appl. Phys. Lett. 108, 032601 (2016); https://doi.org/10.1063/1.4940230 Submitted: 13 October 2015 . Accepted: 07 January 2016 . Published Online: 21 January 2016 Jochen Braumüller, Martin Sandberg, Michael R. Vissers, Andre Schneider, Steffen Schlör, Lukas Grünhaupt, Hannes Rotzinger, Michael Marthaler, Alexander Lukashenko, Amadeus Dieter, Alexey V. Ustinov, Martin Weides, and David P. Pappas ARTICLES YOU MAY BE INTERESTED IN A quantum engineer's guide to superconducting qubits Applied Physics Reviews 6, 021318 (2019); https://doi.org/10.1063/1.5089550 Planar superconducting resonators with internal quality factors above one million Applied Physics Letters 100, 113510 (2012); https://doi.org/10.1063/1.3693409 An argon ion beam milling process for native AlOx layers enabling coherent superconducting contacts Applied Physics Letters 111, 072601 (2017); https://doi.org/10.1063/1.4990491 Appl. Phys. Lett. 108, 032601 (2016); https://doi.org/10.1063/1.4940230 108, 032601 © 2016 AIP Publishing LLC. APPLIED PHYSICS LETTERS 108, 032601 (2016) Concentric transmon qubit featuring fast tunability and an anisotropic magnetic dipole moment Jochen Braumuller,€ 1,a) Martin Sandberg,2 Michael R. Vissers,2 Andre Schneider,1 Steffen Schlor,€ 1 Lukas Grunhaupt,€ 1 Hannes Rotzinger,1 Michael Marthaler,3 Alexander Lukashenko,1 Amadeus Dieter,1 Alexey V. Ustinov,1,4 Martin Weides,1,5 and David P. Pappas2 1Physikalisches Institut, Karlsruhe Institute of Technology, -
Quantum Computational Complexity Theory Is to Un- Derstand the Implications of Quantum Physics to Computational Complexity Theory
Quantum Computational Complexity John Watrous Institute for Quantum Computing and School of Computer Science University of Waterloo, Waterloo, Ontario, Canada. Article outline I. Definition of the subject and its importance II. Introduction III. The quantum circuit model IV. Polynomial-time quantum computations V. Quantum proofs VI. Quantum interactive proof systems VII. Other selected notions in quantum complexity VIII. Future directions IX. References Glossary Quantum circuit. A quantum circuit is an acyclic network of quantum gates connected by wires: the gates represent quantum operations and the wires represent the qubits on which these operations are performed. The quantum circuit model is the most commonly studied model of quantum computation. Quantum complexity class. A quantum complexity class is a collection of computational problems that are solvable by a cho- sen quantum computational model that obeys certain resource constraints. For example, BQP is the quantum complexity class of all decision problems that can be solved in polynomial time by a arXiv:0804.3401v1 [quant-ph] 21 Apr 2008 quantum computer. Quantum proof. A quantum proof is a quantum state that plays the role of a witness or certificate to a quan- tum computer that runs a verification procedure. The quantum complexity class QMA is defined by this notion: it includes all decision problems whose yes-instances are efficiently verifiable by means of quantum proofs. Quantum interactive proof system. A quantum interactive proof system is an interaction between a verifier and one or more provers, involving the processing and exchange of quantum information, whereby the provers attempt to convince the verifier of the answer to some computational problem. -
General-Purpose Quantum Circuit Simulator with Projected Entangled-Pair States and the Quantum Supremacy Frontier
PHYSICAL REVIEW LETTERS 123, 190501 (2019) General-Purpose Quantum Circuit Simulator with Projected Entangled-Pair States and the Quantum Supremacy Frontier Chu Guo,1,* Yong Liu ,2,* Min Xiong,2 Shichuan Xue,2 Xiang Fu ,2 Anqi Huang,2 Xiaogang Qiang ,2 Ping Xu,2 Junhua Liu,3,4 Shenggen Zheng,5 He-Liang Huang,1,6,7 Mingtang Deng,2 † ‡ Dario Poletti,8, Wan-Su Bao,1,7, and Junjie Wu 2,§ 1Henan Key Laboratory of Quantum Information and Cryptography, IEU, Zhengzhou 450001, China 2Institute for Quantum Information & State Key Laboratory of High Performance Computing, College of Computer, National University of Defense Technology, Changsha 410073, China 3Information Systems Technology and Design, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore 4Quantum Intelligence Lab (QI-Lab), Supremacy Future Technologies (SFT), Guangzhou 511340, China 5Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen 518055, China 6Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China 7CAS Centre for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China 8Science and Math Cluster and EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore (Received 30 July 2019; published 4 November 2019) Recent advances on quantum computing hardware have pushed quantum computing to the verge of quantum supremacy. Here, we bring together many-body quantum physics and quantum computing by using a method for strongly interacting two-dimensional systems, the projected entangled-pair states, to realize an effective general-purpose simulator of quantum algorithms. -
Quantum Computing in the NISQ Era and Beyond
Quantum Computing in the NISQ era and beyond John Preskill Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena CA 91125, USA 30 July 2018 Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near future. Quantum computers with 50-100 qubits may be able to perform tasks which surpass the capabilities of today’s classical digital computers, but noise in quantum gates will limit the size of quantum circuits that can be executed reliably. NISQ devices will be useful tools for exploring many-body quantum physics, and may have other useful applications, but the 100-qubit quantum computer will not change the world right away — we should regard it as a significant step toward the more powerful quantum technologies of the future. Quantum technologists should continue to strive for more accurate quantum gates and, eventually, fully fault-tolerant quantum computing. 1 Introduction Now is an opportune time for a fruitful discussion among researchers, entrepreneurs, man- agers, and investors who share an interest in quantum computing. There has been a recent surge of investment by both large public companies and startup companies, a trend that has surprised many quantumists working in academia. While we have long recognized the commercial potential of quantum technology, this ramping up of industrial activity has happened sooner and more suddenly than most of us expected. In this article I assess the current status and future potential of quantum computing. Because quantum computing technology is so different from the information technology we use now, we have only a very limited ability to glimpse its future applications, or to project when these applications will come to fruition. -
Growing Australia's Quantum Technology Industry
Australia’s National Science Agency Growing Australia’s Quantum Technology Industry Positioning Australia for a four billion-dollar opportunity May 2020 About CSIRO Futures Copyright At CSIRO Futures we bring together science, technology © Commonwealth Scientific and Industrial Research and economics to help you develop transformative Organisation 2020. To the extent permitted by law, all strategies that tackle your biggest challenges. As the rights are reserved and no part of this publication covered strategic advisory arm of Australia’s national science by copyright may be reproduced or copied in any form or agency, we are uniquely positioned to transform by any means except with the written permission of CSIRO. complexity into clarity, uncertainty into opportunity, insights into action. Disclaimer CSIRO advises that the information contained in this Acknowledgement publication comprises general statements based on CSIRO acknowledges the Traditional Owners of the land, scientific research and stakeholder consultation. sea and waters, of the area that we live and work on across The reader is advised and needs to be aware that such Australia. We acknowledge their continuing connection to information may be incomplete or unable to be used their culture, and we pay our respects to their Elders past in any specific situation. No reliance or actions must and present. therefore be made on that information without seeking prior expert professional, scientific and technical advice. The project team is grateful to the many stakeholders who To the extent permitted by law, CSIRO (including its generously gave their time to provide advice and feedback employees and consultants) excludes all liability to any on the Roadmap. -
2018 AQC Conference Presentation Abstracts Final
Adiabatic Quantum Computing Conference NASA Ames Conference Center Moffett Field, California 94035 June 25th - 28th, 2018 2018 Presentation Abstracts 1 Table of Contents - Presentation Abstracts Quantum-Assisted Training of Neural Networks ……………………………………………. 5 Implementation Errors in Analog Ising Machines ……………………………………………. 5 Deep Neural Network Detects Quantum Phase Transition in D-Wave 2000Q ……………. 6 Bacon-Shor Code with Continuous Measurement of Gauge Operators ……………………. 6 Evolution-Time Dependence in Near-Adiabatic Quantum Evolutions ……………………. 7 Continuous Time Hybrid Quantum Computing ……………………………………………. 7 Thermal Stability in Universal Adiabatic Computation ……………………………………. 7 Demonstration of Sign- and Magnitude- Tunable Transverse Field in a Superconducting Flux Qubit with Microwave Dressing ……………………………. 8 Quantum Speedup in Stochastic Adiabatic Quantum Computation ……………………………. 8 Quantum Annealers as QMC Simulators ……………………………………………………. 9 Interpolating Quantum and Classical Dynamics and QA Application ……………………. 9 Quantum-Driven Classical Optimization ……………………………………………………. 9 Programmable Simulation of a KT Phase Transition on 1800 Qubits ……………………. 10 Uncertain Fate of Fair Sampling in Quantum Annealing and Embedding Penalties ……. 10 Computing Protein-Ligand Binding Free Energy Using Quantum Annealing ……………. 11 Next Generation Quantum Annealing Hardware ……………………………………………. 11 Programmable Superpositions of Ising Configurations ……………………………………. 12 Multi-Spin Measurements for Superconducting Quantum Annealers ……………………. 12 NASA's UFO: A -
Learning Nonlinear Input–Output Maps with Dissipative Quantum Systems
Quantum Information Processing (2019) 18:198 https://doi.org/10.1007/s11128-019-2311-9 Learning nonlinear input–output maps with dissipative quantum systems Jiayin Chen1 · Hendra I. Nurdin1 Received: 17 October 2018 / Accepted: 3 May 2019 / Published online: 15 May 2019 © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract In this paper, we develop a theory of learning nonlinear input–output maps with fading memory by dissipative quantum systems, as a quantum counterpart of the theory of approximating such maps using classical dynamical systems. The theory identifies the properties required for a class of dissipative quantum systems to be universal, in that any input–output map with fading memory can be approximated arbitrarily closely by an element of this class. We then introduce an example class of dissipative quantum systems that is provably universal. Numerical experiments illustrate that with a small number of qubits, this class can achieve comparable performance to classical learning schemes with a large number of tunable parameters. Further numerical analysis sug- gests that the exponentially increasing Hilbert space presents a potential resource for dissipative quantum systems to surpass classical learning schemes for input–output maps. Keywords Machine learning with quantum systems · Dissipative quantum systems · Universality property · Reservoir computing · Nonlinear input–output maps · Fading memory maps · Nonlinear time series · Stone–Weierstrass theorem 1 Introduction We are in the midst of the noisy intermediate-scale quantum (NISQ) technology era [1], marked by noisy quantum computers consisting of roughly tens to hundreds of qubits. Currently, there is a substantial interest in early applications of these machines that can accelerate the development of practical quantum computers, akin to how the humble hearing aid stimulated the development of integrated circuit (IC) technology [2].