A Cryptographic Leash on Quantum Devices
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Quantum Computing Methods for Supervised Learning Arxiv
Quantum Computing Methods for Supervised Learning Viraj Kulkarni1, Milind Kulkarni1, Aniruddha Pant2 1 Vishwakarma University 2 DeepTek Inc June 23, 2020 Abstract The last two decades have seen an explosive growth in the theory and practice of both quantum computing and machine learning. Modern machine learning systems process huge volumes of data and demand massive computational power. As silicon semiconductor miniaturization approaches its physics limits, quantum computing is increasingly being considered to cater to these computational needs in the future. Small-scale quantum computers and quantum annealers have been built and are already being sold commercially. Quantum computers can benefit machine learning research and application across all science and engineering domains. However, owing to its roots in quantum mechanics, research in this field has so far been confined within the purview of the physics community, and most work is not easily accessible to researchers from other disciplines. In this paper, we provide a background and summarize key results of quantum computing before exploring its application to supervised machine learning problems. By eschewing results from physics that have little bearing on quantum computation, we hope to make this introduction accessible to data scientists, machine learning practitioners, and researchers from across disciplines. 1 Introduction Supervised learning is the most commonly applied form of machine learning. It works in two arXiv:2006.12025v1 [quant-ph] 22 Jun 2020 stages. During the training stage, the algorithm extracts patterns from the training dataset that contains pairs of samples and labels and converts these patterns into a mathematical representation called a model. During the inference stage, this model is used to make predictions about unseen samples. -
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. -
Scalable Quantum Cryptography Network for Protected Automation Communication Making Quantum Key Distribution (QKD) Available to Critical Energy Infrastructure
Scalable Quantum Cryptography Network for Protected Automation Communication Making quantum key distribution (QKD) available to critical energy infrastructure Background changes the key in an immediate and Benefits measurable way, reducing the risk that The power grid is increasingly more reliant information thought to be securely • QKD lets the operator know, in real- on a distributed network of automation encrypted has actually been compromised. time, if a secret key has been stolen components such as phasor measurement units (PMUs) and supervisory control and Objectives • Reduces the risk that a “man-in-the- data acquisition (SCADA) systems, to middle” cyber-attack might allow In the past, QKD solutions have been unauthorized access to energy manage the generation, transmission and limited to point-to-point communications sector data distribution of electricity. As the number only. To network many devices required of deployed components has grown dedicated QKD systems to be established Partners rapidly, so too has the need for between every client on the network. This accompanying cybersecurity measures that resulted in an expensive and complex • Qubitekk, Inc. (lead) enable the grid to sustain critical functions network of multiple QKD links. To • Oak Ridge National Laboratory even during a cyber-attack. To protect achieve multi-client communications over (ORNL) against cyber-attacks, many aspects of a single quantum channel, Oak Ridge cybersecurity must be addressed in • Schweitzer Engineering Laboratories National Laboratory (ORNL) developed a parallel. However, authentication and cost-effective solution that combined • EPB encryption of data communication between commercial point-to-point QKD systems • University of Tennessee distributed automation components is of with a new, innovative add-on technology particular importance to ensure resilient called Accessible QKD for Cost-Effective energy delivery systems. -
Quantum Error Correcting Codes and the Security Proof of the BB84 Protocol
Quantum Error Correcting Codes and the Security Proof of the BB84 Protocol Ramesh Bhandari Laboratory for Telecommunication Sciences 8080 Greenmead Drive, College Park, Maryland 20740, USA [email protected] (Dated: December 2011) We describe the popular BB84 protocol and critically examine its security proof as presented by Shor and Preskill. The proof requires the use of quantum error-correcting codes called the Calderbank-Shor- Steanne (CSS) quantum codes. These quantum codes are constructed in the quantum domain from two suitable classical linear codes, one used to correct for bit-flip errors and the other for phase-flip errors. Consequently, as a prelude to the security proof, the report reviews the essential properties of linear codes, especially the concept of cosets, before building the quantum codes that are utilized in the proof. The proof considers a security entanglement-based protocol, which is subsequently reduced to a “Prepare and Measure” protocol similar in structure to the BB84 protocol, thus establishing the security of the BB84 protocol. The proof, however, is not without assumptions, which are also enumerated. The treatment throughout is pedagogical, and this report, therefore, serves as a useful tutorial for researchers, practitioners and students, new to the field of quantum information science, in particular quantum cryptography, as it develops the proof in a systematic manner, starting from the properties of linear codes, and then advancing to the quantum error-correcting codes, which are critical to the understanding -
Foundations of Quantum Computing and Complexity
Foundations of quantum computing and complexity Richard Jozsa DAMTP University of CamBridge Why quantum computing? - physics and computation A key question: what is computation.. ..fundamentally? What makes it work? What determines its limitations?... Information storage bits 0,1 -- not abstract Boolean values but two distinguishable states of a physical system Information processing: updating information A physical evolution of the information-carrying physical system Hence (Deutsch 1985): Possibilities and limitations of information storage / processing / communication must all depend on the Laws of Physics and cannot be determined from mathematics alone! Conventional computation (bits / Boolean operations etc.) based on structures from classical physics. But classical physics has been superseded by quantum physics … Current very high interest in Quantum Computing “Quantum supremacy” expectation of imminent availability of a QC device that can perform some (albeit maybe not at all useful..) computational tasK beyond the capability of all currently existing classical computers. More generally: many other applications of quantum computing and quantum information ideas: Novel possibilities for information security (quantum cryptography), communication (teleportation, quantum channels), ultra-high precision sensing, etc; and with larger QC devices: “useful” computational tasKs (quantum algorithms offering significant benefits over possibilities of classical computing) such as: Factoring and discrete logs evaluation; Simulation of quantum systems: design of large molecules (quantum chemistry) for new nano-materials, drugs etc. Some Kinds of optimisation tasKs (semi-definite programming etc), search problems. Currently: we’re on the cusp of a “quantum revolution in technology”. Novel quantum effects for computation and complexity Quantum entanglement; Superposition/interference; Quantum measurement. Quantum processes cannot compute anything that’s not computable classically. -
Detecting Itinerant Single Microwave Photons Sankar Raman Sathyamoorthy A, Thomas M
Physics or Astrophysics/Header Detecting itinerant single microwave photons Sankar Raman Sathyamoorthy a, Thomas M. Stace b and G¨oranJohansson a aDepartment of Microtechnology and Nanoscience, MC2, Chalmers University of Technology, S-41296 Gothenburg, Sweden bCentre for Engineered Quantum Systems, School of Physical Sciences, University of Queensland, Saint Lucia, Queensland 4072, Australia Received *****; accepted after revision +++++ Abstract Single photon detectors are fundamental tools of investigation in quantum optics and play a central role in measurement theory and quantum informatics. Photodetectors based on different technologies exist at optical frequencies and much effort is currently being spent on pushing their efficiencies to meet the demands coming from the quantum computing and quantum communication proposals. In the microwave regime however, a single photon detector has remained elusive although several theoretical proposals have been put forth. In this article, we review these recent proposals, especially focusing on non-destructive detectors of propagating microwave photons. These detection schemes using superconducting artificial atoms can reach detection efficiencies of 90% with existing technologies and are ripe for experimental investigations. To cite this article: S.R. Sathyamoorthy, T.M. Stace ,G.Johansson, C. R. Physique XX (2015). R´esum´e La d´etection... Pour citer cet article : S.R. Sathyamoorthy, T.M. Stace , G.Johansson, C. R. Physique XX (2015). Key words: Single photon detection, quantum nondemolition, superconducting circuits, microwave photons Mots-cl´es: Mot-cl´e1; Mot-cl´e2; Mot-cl´e3 arXiv:1504.04979v1 [quant-ph] 20 Apr 2015 1. Introduction In 1905, his annus mirabilis, Einstein not only postulated the existence of light quanta (photons) while explaining the photoelectric effect but also gave a theory (arguably the first) of a photon detector [1]. -
Quantum Cryptography and Quantum Entanglement for Engineering Applications
Quantum Cryptography and Quantum Entanglement for Engineering Applications Quantum Robotics and Autonomy ETM 4990 Mechatronics Dr. Farbod Khoshnoud Electromechanical Engineering Technology Department, College of Engineering, California State Polytechnic University, Pomona 1 Quantum Engineering • Experimental Quantum Entanglement • Experimental Quantum Cryptography • Quantum technologies for robotics and autonomy applications 2 Mechanical Systems + Classical Computers Mechanical Systems + Classical Computers/Technologies = The State of the art 3 Mechanical Systems + Quantum Technologies Mechanical Systems + Quantum Computers/Technologies = Quantum Robotics and Autonomy (e.g., The Alice and Bob Robots) 4 Literature review (Mechanical Systems and/or Education + Quantum Technologies) • Drone-to-Drone Quantum Key distribution (Kwiat, P., et al., 2017). The aim is to enhance quantum capability (not mechanical systems). • Space and underwater Quantum Communications (various references). The aim is enhancing communication not mechanical systems. • Preparing for the quantum revolution -- what is the role of higher education? (https://arxiv.org/abs/2006.16444) • Achieving a quantum smart workforce (https://arxiv.org/abs/2010.13778). 5 Introduction • When quantum technologies/computers become available in a multi-agent robotic system: How the quantum computer is integrated to mechanical systems (e.g., robots, autonomous systems) • Hybrid quantum-classical technologies for autonomous systems – quantum is good for solving some problems and classical -
A Coordinated Approach to Quantum Networking Research
A COORDINATED APPROACH TO QUANTUM NETWORKING RESEARCH A Report by the SUBCOMMITTEE ON QUANTUM INFORMATION SCIENCE COMMITTEE ON SCIENCE of the NATIONAL SCIENCE & TECHNOLOGY COUNCIL January 2021 – 0 – A COORDINATED APPROACH TO QUANTUM NETWORKING RESEARCH About the National Science and Technology Council The National Science and Technology Council (NSTC) is the principal means by which the Executive Branch coordinates science and technology policy across the diverse entities that make up the Federal research and development enterprise. A primary objective of the NSTC is to ensure science and technology policy decisions and programs are consistent with the President's stated goals. The NSTC prepares research and development strategies that are coordinated across Federal agencies aimed at accomplishing multiple national goals. The work of the NSTC is organized under committees that oversee subcommittees and working groups focused on different aspects of science and technology. More information is available at https://www.whitehouse.gov/ostp/nstc. About the Office of Science and Technology Policy The Office of Science and Technology Policy (OSTP) was established by the National Science and Technology Policy, Organization, and Priorities Act of 1976 to provide the President and others within the Executive Office of the President with advice on the scientific, engineering, and technological aspects of the economy, national security, homeland security, health, foreign relations, the environment, and the technological recovery and use of resources, among other topics. OSTP leads interagency science and technology policy coordination efforts, assists the Office of Management and Budget with an annual review and analysis of Federal research and development in budgets, and serves as a source of scientific and technological analysis and judgment for the President with respect to major policies, plans, and programs of the Federal Government. -
Quantum Networks: from Quantum Cryptography to Quantum Architecture Tatjana Curcic and Mark E
Quantum Networks: From Quantum Cryptography to Quantum Architecture Tatjana Curcic and Mark E. Filipkowski Booz Allen Hamilton, 3811 North Fairfax Drive, Suite 1000, Arlington, Virginia, 22203 Almadena Chtchelkanova Strategic Analysis, Inc., 3601 Wilson Boulevard, Suite 500, Arlington, Virginia, 22201 Philip A. D’Ambrosio Schafer Corporation, 3811 North Fairfax Drive, Suite 400, Arlington, Virginia, 22203 Stuart A. Wolf, Michael Foster, and Douglas Cochran Defense Advanced Research Projects Agency, 3701 North Fairfax Drive, Arlington, Virginia, 22203 information, where previously underutilized quantum effects, such ABSTRACT as quantum superposition and entanglement, will be essential As classical information technology approaches limits of size and resources for information encoding and processing. The ability to functionality, practitioners are searching for new paradigms for distribute these new resources and connect distant quantum the distribution and processing of information. Our goal in this systems will be critical. In this paper we present a brief overview Introduction is to provide a broad view of the beginning of a new of network implications for quantum communication applications, era in information technology, an era of quantum information, such as cryptography, and for quantum computing. This overview where previously underutilized quantum effects, such as quantum is not meant to be exhaustive. Rather, it is a selection of several superposition and entanglement, are employed as resources for illustrative examples, to serve as motivation for the network information encoding and processing. The ability to distribute research community to bring its expertise to the development of these new resources and connect distant quantum systems will be quantum information technologies. critical. We present an overview of network implications for quantum communication applications, and for quantum computing. -
The Impact of Quantum Computing on Present Cryptography
(IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 9, No. 3, 2018 The Impact of Quantum Computing on Present Cryptography Vasileios Mavroeidis, Kamer Vishi, Mateusz D. Zych, Audun Jøsang Department of Informatics, University of Oslo, Norway Email(s): fvasileim, kamerv, mateusdz, josangg@ifi.uio.no Abstract—The aim of this paper is to elucidate the impli- challenge of building a true quantum computer. Furthermore, cations of quantum computing in present cryptography and we introduce two important quantum algorithms that can to introduce the reader to basic post-quantum algorithms. In have a huge impact in asymmetric cryptography and less in particular the reader can delve into the following subjects: present symmetric, namely Shor’s algorithm and Grover’s algorithm cryptographic schemes (symmetric and asymmetric), differences respectively. Finally, post-quantum cryptography is presented. between quantum and classical computing, challenges in quantum Particularly, an emphasis is given on the analysis of quantum computing, quantum algorithms (Shor’s and Grover’s), public key encryption schemes affected, symmetric schemes affected, the im- key distribution and some mathematical based solutions such pact on hash functions, and post quantum cryptography. Specif- as lattice-based cryptography, multivariate-based cryptography, ically, the section of Post-Quantum Cryptography deals with hash-based signatures, and code-based cryptography. different quantum key distribution methods and mathematical- based solutions, such as the BB84 protocol, lattice-based cryptog- II. PRESENT CRYPTOGRAPHY raphy, multivariate-based cryptography, hash-based signatures and code-based cryptography. In this chapter we explain briefly the role of symmetric algorithms, asymmetric algorithms and hash functions in mod- Keywords—quantum computers; post-quantum cryptography; Shor’s algorithm; Grover’s algorithm; asymmetric cryptography; ern cryptography. -
Quantum Cryptography in Practice Chip Elliott Dr
Quantum Cryptography in Practice Chip Elliott Dr. David Pearson Dr. Gregory Troxel BBN Technologies BBN Technologies BBN Technologies 10 Moulton Street 10 Moulton Street 10 Moulton Street Cambridge, MA 02138 Cambridge, MA 02138 Cambridge, MA 02138 [email protected] [email protected] [email protected] ABSTRACT BBN, Harvard, and Boston University are building the DARPA Alice Bob Quantum Network, the world’s first network that delivers end- (the sender) Eve (the receiver) to-end network security via high-speed Quantum Key plaintext (the eavesdropper) plaintext Distribution, and testing that Network against sophisticated eavesdropping attacks. The first network link has been up and encryption public channel decryption steadily operational in our laboratory since December 2002. It algorithm (i.e. telephone or internet) algorithm provides a Virtual Private Network between private enclaves, with user traffic protected by a weak-coherent implementation key key of quantum cryptography. This prototype is suitable for deployment in metro-size areas via standard telecom (dark) quantum state quantum channel quantum state fiber. In this paper, we introduce quantum cryptography, generator (i.e. optical fiber or free space) detector discuss its relation to modern secure networks, and describe its unusual physical layer, its specialized quantum cryptographic protocol suite (quite interesting in its own right), and our Figure 1. Quantum Key Distribution. extensions to IPsec to integrate it with quantum cryptography. authentication and establishment of secret “session” keys, and then protecting all or part of a traffic flow with these session Categories and Subject Descriptors keys. Certain other systems transport secret keys “out of C.2.1 [Network Architecture and Design]: quantum channel,” e.g. -
ETSI White Paper on Implementation Security of Quantum Cryptography
ETSI White Paper No. 27 Implementation Security of Quantum Cryptography Introduction, challenges, solutions First edition – July 2018 ISBN No. 979-10-92620-21-4 Authors: Marco Lucamarini, Andrew Shields, Romain Alléaume, Christopher Chunnilall, Ivo Pietro Degiovanni, Marco Gramegna, Atilla Hasekioglu, Bruno Huttner, Rupesh Kumar, Andrew Lord, Norbert Lütkenhaus, Vadim Makarov, Vicente Martin, Alan Mink, Momtchil Peev, Masahide Sasaki, Alastair Sinclair, Tim Spiller, Martin Ward, Catherine White, Zhiliang Yuan ETSI 06921 Sophia Antipolis CEDEX, France Tel +33 4 92 94 42 00 [email protected] www.etsi.org About the authors Marco Lucamarini Senior Researcher, Toshiba Research Europe Limited, Cambridge, UK Marco Lucamarini works on the implementation security of real quantum key distribution (QKD) systems. He has authored more than 50 papers related to protocols, methods and systems for quantum communications. He is a regular contributor to the ETSI Industry Specification Group (ISG) on QKD. Andrew Shields FREng, FInstP Assistant Managing Director, Toshiba Research Europe Limited, Cambridge, UK Andrew Shields leads R&D on quantum technologies at TREL. He was a co-founder of the ETSI ISG on QKD and serves currently as its Chair. He has published over 300 papers in the field of quantum photonics, which have been cited over 15000 times. Romain Alléaume Associate Professor, Telecom-ParisTech, Paris, France Romain Alléaume works on quantum cryptography and quantum information. He co-founded the start-up company SeQureNet in 2008, that brought to market the first commercial CV-QKD system in 2013. He has authored more than 40 papers in the field and is a regular contributor to the ETSI ISG QKD.