Introduction to quantum computation and information world scienti. Supported by introduction to measurementbased quantum computation tzuchieh wei c. The quantum circuit model is introduced, where a computation is performed by a quantum circuit acting on quantum states. This state forms a universal resource for quantum computation, i. In measurementbased bqc model, entangled states are generally used to realize quantum computing. Further, the sequential distribution of many copies of entangled states in a quantum repeater allow for ex. The main mbqc framework was proposed by rassendorf and briegel in the \oneway quantum computer 2 using the cluster state. Brad huntting and david mertz published on september 01, 2001. Griffiths cambridge 2002 is recommended for part i of the course. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and. For measurementbased schemes, the hardware consists of a multiparticle quantum system in an algorithmindependent state and a classical computer. The new paradigm of measurementbased quantum computation, wher e the pro cessing of quantum information takes place by r ounds of simple measurements on qubits prepar ed in a highly entangled. Introduction to quantum computation and information.
Introduction to measurementbased quantum computation tzuchieh wei c. The fundamental unit of computation is no longer the bit but the quantum bit or qubit. Pdf introduction to quantum computing researchgate. A short course in quantum information theory springer, 2007. An introduction to measurement based quantum computation. Jun 10, 2011 quantum computing for the determined by michael nielsen on june 10, 2011 ive posted to youtube a series of 22 short videos giving an introduction to quantum computing. Its a relatively light book that will teach you the basics of theoretical computer science, quantum mechanics and other topics in a fun and intuitive way, without going into. The choice of basis for later measurements may depend on earlier measurement outcomes and the final result of the computation is determined from the classical data of all the measurement outcomes. Measurementbased and universal blind quantum computation. Introduction to measurement based quantum computation.
Measurementbased quantum computation and symmetryprotected. Generalized flow and determinism in measurementbased. Computational depth complexity of measurementbased quantum. Alan turing invented the programmable computer in 1936 see related topics as a thought experiment to show that certain mathematical problems were not computable. Download for offline reading, highlight, bookmark or take notes while you read quantum physics. More specifically, the state of a qubit is a vector in a twodimensional vector space. While quantum circuits are still widely considered as a convenient formalism for describing algorithms, using measurements to steer quantum computation is considered a serious alternative. Measurementbased quantum computation mbqc is a novel approach to quantum computation. Then i keep track of uptodate results on topological quantum computing, quantum information theory, and other related subjects. Quantum computation and quantum information theory course. Fundamentals of universality in oneway quantum computation. Role of measurementbased quantum computation mqc in fundamental investigations.
The input is a gatemodel description of a quantum computation. The choice of basis for later measurements may depend on earlier measurement outcomes and the final result of the computation is determined from the classical data of all the. Quantum computing algorithms for artificial intelligence. In these notes, we will learn that quantum computers di er from classical computation in several respects when it comes to the processing of the information. Measurementbased quantum computation, and, more specifically, the oneway quantum computation model provides both a new theoretical description and a novel prescription for implementations of quantum computing. The oneway or measurement based quantum computer mbqc is a method of quantum computing that first prepares an entangled resource state, usually a cluster state or graph state, then performs single qubit measurements on it. In section 4, measurementbased models of quantum computing are presented, where quantum information is processed by sequences of adaptive measurements. Introduction to optical quantum information processing by. Quantum computing for the determined by michael nielsen on june 10, 2011 ive posted to youtube a series of 22 short videos giving an introduction to quantum computing. Introduction to topological quantum computation jiannis k.
Chuang an introduction to quantum computing 2007 p. Measurementbased quantum computing with valencebondsolids, int. In this work i tried to create an intuitive introduction to the fascinating domain of quantum computing. A gentle introduction eleanor rieffel and wolfgang polak. Quantum computation is the eld that investigates the computational power and other properties of computers based on quantum mechanical principles. Despite the fact of being based on paradoxical principles, qm has found applications in almost all. This book came out in 2000, so almost 20 years ago now. One of the most cited books in physics of all time, quantum computation and quantum information remains the best textbook in this exciting field of science. Measurementbased and universal blind quantum computation ipm. Find the top 100 most popular items in amazon books best sellers.
Michael nielsen was born in brisbane, australia in 1974, and was educated at the university of queensland, obtaining postgraduate degrees in mathematics and physics, before being awarded his phd in physics at the university of new mexico in 1998. The oneway or measurement based quantum computer mbqc is a method of quantum computing that first prepares an entangled resource state, usually a. The outcome of each individual measurement is random, but they are related in such a way that. This book is an uptodate introduction to the quantum theory of measurement, a fast developing field of intense current interest to scientists and engineers for its potential high technology applications. Measurementbased quantum computation and symmetryprotected topological order by jacob miller b. Amit ray explains the quantum annealing, quantum monte carlo tree search, quantum algorithms for traveling salesman problems, and quantum algorithms for gradient descent problems in depth. Quantum computing offers one of the best introductions to the themes and concepts of quantum measurement. In the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform computation by applying a sequence of measurements to designated qubits in designated bases. Quantum measurement an overview sciencedirect topics. Yet the most important theoretical and in the future also practical innovations were done in the. Quantum teleportation and entanglement wiley online books.
The first one on the list is computing with quantum cats, which is by the british science writer john gibben. Quantum computing algorithms for artificial intelligence dr. A hybrid universal blind quantum computation sciencedirect. In the process of the computation, all the entanglement of the cluster state is destroyed, and. The number of transistors on a chip doubles every 2 years a transistor hits the size of a. An introduction to quantum information and quantum circuits. The new paradigm of measurementbased quantum computation, where the pro cessing of quantum information takes place by rounds of simple measurements on qubits prepared in a highly entangled state, is particularly exciting in this regard. In every step of the computation, a local measurement is performed on the quantum state and the result is fed into the classical. More precisely, multipartite entangled, socalled cluster states are a suf. Some books quantum computation and quantum information 2000 michael a. So this is a quantum computing book with no math at all.
In a manner similar to the way conventional computers are made up of bits, quantum computers are made up of quantum bits, or qubits. Two principal schemes of measurement based computation are teleportation quantum computation tqc and the socalled cluster model or oneway quantum. In this lecture we are concerned with quantum computation by measurement. Aug 17, 2005 in the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform computation by applying a sequence of measurements to designated qubits in designated bases. Are quantum computers more powerful than classical computers. A concise introduction to quantum computation, developing the basic elements of this branch of computational theory without assuming any background in physics. The new paradigm of measurement based quantum computation, wher e the pro cessing of quantum information takes place by r ounds of simple measurements on qubits prepar ed in a highly entangled. In the standard model of quantum computationthe circuit modela computation is described as a network of unitary single and two. Quantum computation is the eld that investigates the computational power and other properties of computers based on quantummechanical principles. I would start with quantum computing since democritus by scott aaronson.
The new paradigm of measurementbased quantum computation, where the processing of quantum information takes place by rounds of simple measurements on qubits prepared in a highly entangled state. Then other language mechanisms used to specify the control flow of quantum programs, e. You last book is quantum computation and quantum information, which you already referred to. Quantum computing for the determined michael nielsen. In blind quantum computation bqc, a client delegates her quantum computation to a server with universal quantum computers who learns nothing about the clients private information. Part of the lecture notes in computer science book series lncs, volume 6154. Jozsa, r an introduction to measurement based quantum computation. Part of the lecture notes in computer science book series lncs, volume 6519.
Oct 23, 2000 in this first comprehensive introduction to the main ideas and techniques of quantum computation and information, michael nielsen and isaac chuang ask the question. Two principal schemes of measurement based computation are teleportation quantum computation tqc and the socalled cluster model or oneway quantum computer 1wqc. In particular, much as any classical computation can be built up using and, or, and not gates, the quantum gates we describe over the next few sections suffice to do any quantum computation. An introduction based on photons ebook written by a. Reviews unique in that it is jointly written by an experimentalist and a theorist, this monograph presents universal quantum computation based on quantum teleportation as an elementary subroutine.
What are the ultimate physical limits to computation and communication. Computers that exploit quantum phenomena are believed to be more powerful than those obeying classical rules. Measurementbased quantum computation with cluster states. But whereas the state of a bit is a number 1, the state of a qubit is a vector. What are some good books for learning quantum computation. Introduction to measurementbased quantum computation tzuchieh wei. Quantum computing is the use of quantummechanical phenomena such as superposition and entanglement to perform computation. Discover the best quantum computing in best sellers. Measurementbased quantum computation ubc library open. It is the bible and its an enormous book, some 700 pages long. In the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform.
This 10th anniversary edition includes an introduction from the authors setting the work in context. Chuang cambridge, 2000 in addition the book consistent quantum theory by r. Hes written a number of popular science books, including in search of schrodingers cat. Measurement based quantum computation and symmetryprotected topological order by jacob miller b. Quantum computing is not about changing the physical substrate on which computation is done from classical to quantum but about changing the notion of computation itself, at the most basic level.
Quantum measurement theory and its applications kurt jacobs. Anyone who is seriously getting into quantum computation uses it. A short introduction to quantum information and quantum computation cambridge university press, 2005. An important objective is to nd quantum algorithms that are signi cantly faster than any classical algorithm solving the same problem. Quantum computer based on superconducting qubits developed by ibm research in zurich, switzerland. The choice of basis for later measurements may depend on earlier measurement outcomes and the final result of the computation is determined from the. In this paper, we introduce the basic theory of quantum. A brief introduction to quantum computing benjamin good may 2, 2007 abstract in the past 20 years, quantum computing has blossomed into a major area of research for physicists and computer scientists all over the world, despite the fact that a viable quantum computer remains elusive. It is also a subject of importance to students for its central role in the foundations of quantum mechanics. This book is ideal for graduate students beginning research in optical quantum information processing.
We give an introduction to the subject, and discuss various. The best quantum computing books five books expert. Computers that perform quantum computation are known as quantum computers i5 quantum computers are believed to be able to solve certain computational problems, such as integer factorization which underlies rsa encryption, substantially faster than. It begins with an introduction to the quantum theory from a computerscience perspective. Measurementbased quantum computation beyond the one. Mar 20, 2015 the quantum circuit model is introduced, where a computation is performed by a quantum circuit acting on quantum states. Measurementbased cluster state quantum computation. Introduction the fundamental basis of quantum computation is landauers observation that all information is ultimately physical 1, 2. The text book for the course will be quantum computation and quantum information by m. The device shown here will be inserted into a dilution refrigerator and cooled to under 1 kelvin.
Many of the quantum gates well learn about are based on familiar classical logic gates. Probably the most widely known development in quantum computation was peter shors 1997 publication of a quantum algorithm for performing prime factorization of integers in essentially polynomial time 2. The result of the computation is derived from all the obtained measurement outcomes. Aimed at researchers, physicists, and graduate and phd students in physics, theoretical quantum optics, quantum mechanics, and quantum information. We will describe these schemes and show how they are able to perform universal quantum computation. Generalized flow and determinism in measurementbased quantum. In section 4, measurement based models of quantum computing are presented, where quantum information is processed by sequences of adaptive measurements. Contextuality as a resource for measurementbased quantum. It is oneway because the resource state is destroyed by the measurements. It presents the most important techniques of the field using worked examples and over 120 exercises. Lets talk about the quantum computing books youve recommended, which youve ranked in order of difficulty.
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