Riding bosonic qubits towards faulttolerant quantum. Faulttolerant quantum computing the faulttolerant quantum computing roadmap aims for a fullstack scalable quantum computing system, including the qubit circuits, the control electronics, and the software layers such as compilers. Among recent developments, the recent paper 12 has shown how fault tolerant quantum computation with constant multiple overhead can be obtained, and quantum ldpc codes are an essential component. An important objective is to nd quantum algorithms that are signi cantly faster than any classical algorithm solving the same problem. Faulttolerant detection of a quantum error science. Introduction to quantum computation and information. Oclcs webjunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. Faulttolerant quantum computation versus realistic noise. However, formatting rules can vary widely between applications and fields of interest or study. Faulttolerant quantum computation with constant error rate. Improving the overhead of fault tolerant quantum computation with magic state distillation joe ogorman and earl campbell.
It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware. Box 218, yorktown heights, new york 10598, usa 2institute for quantum information, california institute of technology, pasadena, california 91125, usa received 30 september 2008. Resource cost of faulttolerant quantum computing in hybrid quantum computers and linearoptical quantum computers ying li, peter c. The paper probabilistic fault tolerant universal quantum computation and sampling problems in continuous variables douce et al. It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware, perhaps by invoking. Quantum computation with topological codes from qubit to.
Faulttolerant quantum computation with few qubits rui chao ben w. Such computation is faulttolerant by its physical nature. The basic concepts and powerful tools for understanding topological fault tolerant quantum computation, such as universal quantum computation, quantum algorithms, stabilizer formalism, and measurementbased quantum computation, are also introduced in 4. It may be possible to incorporate intrinsic fault tolerance into the design of. Improving the overhead of faulttolerant quantum computation with magic state distillation joe ogorman and earl campbell. Among recent developments, the recent paper 12 has shown how fault tolerant quantum computation with constant multiple overhead can be obtained, and quantum ldpc codes are. In short the theory of quantum computation and quantum information. If its operating quality decreases at all, the decrease is proportional to the severity of the failure, as compared to a naively designed system, in which even a small failure. Quantum error correction and fault tolerant quantum computing. Nov 18, 2019 the remaining ingredients for a fault tolerant quantum computer are gates and measurements, which also happen to be straightforward to implement.
Quantum computation and quantum information 10th anniversary ed. Most studies of fault tolerance until now 14 have focused on deriving fault tolerance in a setting where gates between any two qubits can be executed instantaneously, i. In quantum computing, the quantum threshold theorem proved by michael ben or and dorit. In part 1, we cover results pertaining to magic state distillation, one of the. Unitary transformations can be performed by moving the excitations around each other. One must be able to compute without allowing the errors to propagate too much. Your instructor credentials will not grant access to the hub, but existing and new users may request access here. Quantum error correction and fault tolerant quantum. Preskill, john 1998 faulttolerant quantum computers. This thesis contains the results of research projects broadly related to the pursuit of universal faulttolerant quantum computation. Reliable information about the coronavirus covid19 is available from the world health organization current situation, international travel. Industrialists expressed a demand for a technical roadmap which explains the complex concepts of faulttolerant quantum computing for a broad audience, and to identify the potential applications for a small quantum computer.
The detailed explanations of classical concepts such as data compression and encoding help put the quantum analogues in context. Blueprint for faulttolerant quantum computation with rydberg atoms 14 nov 2017 paywall with abstract. Given a qecc, we can attempt to supplement it with protocols for performing fault tolerant operations. Faulttolerant quantum computation by anyons sciencedirect. The garland science website is no longer available to access and you have been automatically redirected to. Faulttolerant quantum computation with high threshold in two. Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and controlling a single effective exchange interaction and possibly a global magnetic field. This paper thus provides a selfcontained and complete proof of universal faulttolerant quantum computation in the presence of local. As the quantum computing field is gaining momentum, a small quantum computer with 10 200 qubits is on the horizon. Faulttolerant quantum computation by anyons caltechauthors.
I discuss a number of examples in more detail, including the. In any discussion of the threshold theorem for faulttolerant quantum computation, one of the most important points is what is assumed in the order to produce the threshold. Considerably extended version of our stoc paper containing the threshold result quantph9611025 subjects. It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware, perhaps by invoking topological aharonovbohm interactions to process quantum information. Faulttolerant architecture for quantum computation using. However, considering the fault tolerance, the overhead of the quantum computer increases exponentially.
An introduction to faulttolerant quantum computation and its. A faulttolerant oneway quantum computer sciencedirect. Faulttolerant quantum computation arijit ghosh roll no 03cs3007 advisors. The goal of faulttolerant quantum computing is to simulate accurately the ideal quantum circuit model using the imperfect noisy gates that can be executed by an actual device assuming the noise is. Physical realization of a quantum computer is a big challenge for scientists. In a breakthrough, knill has constructed a novel fault tolerance. A quantum computer can provide fast solution for certain computational problems e. The paper goes even further and claims it is possible. California institute of technology, pasadena, ca 91125, usa.
Presents the most efficient way to update the progress made after nielsenchuangs textbook was published in 2000. For example, one can run many copies of a classical calculation in parallel, periodically using majority gates to catch and correct faults. An introduction to quantum error correction and faulttolerant. Fault tolerance is the study of reliable computation using unreliable components. Fibonacci scheme for faulttolerant quantum computation panos aliferis1 and john preskill2 1ibm watson research center, p. From the journals of the american physical society. With a given noise model, can one still reliably compute. All instructor resources see exceptions are now available on our instructor hub. For the fault tolerant scheme of quantum computation described in this paper we require a quantum code with the following three properties. Jul 20, 2018 such fault tolerant measurements will allow more frequent interrogations of the state of the logical qubit, ultimately leading to the implementation of more quantum operations and more complex entangled quantum circuits. Measurements can be performed by joining excitations in pairs and observing the result of fusion. A gentle introduction eleanor rieffel and wolfgang polak.
In a quantum computer, the basic gates are much more vulnerable to noise. A twodimensional quantum system with anyonic excitations can be considered as a quantum computer. The paper probabilistic faulttolerant universal quantum computation and sampling problems in continuous variables douce et al. Download it once and read it on your kindle device, pc, phones or tablets. Use features like bookmarks, note taking and highlighting while reading quantum computation with topological codes. Technical roadmap for faulttolerant quantum computing. Provides a comprehensive introduction to topological quantum codes and faulttolerant quantum computation with them.
There are copious worked examples, and all exercises have full solutions given at the rear of the book their treatment of more mainstream parts of quantum information is clear, concise and comprehensive. I demonstrate that faulttolerant universal computation is possible for any stabilizer code. Fibonacci scheme for faulttolerant quantum computation. Click download or read online button to quantumerrorcorrectionandfaulttolerantquantumcomputing book pdf for free now. Reichardt university of southern california 21th annual conference on quantum information processing january 15 19, 2018 at the tu delft arxiv. Quantum computation is the eld that investigates the computational power and other properties of computers based on quantummechanical principles. The 7qubit code is much studied because its properties make it particularly wellsuited to fault tolerant quantum computation.
Quantum error correction and faulttolerance quantiki. From qubit to topological faulttolerance springerbriefs in mathematical physics book 8 kindle edition by fujii, keisuke. This paper thus provides a selfcontained and complete proof of universal faulttolerant quantum. The discovery of quantum error correction has greatly improved the long term prospects for quantum computing technology. Riding bosonic qubits towards faulttolerant quantum computation. Faulttolerant quantum computation with constant error.
However, achieving faulttolerant quantum computation entails a signi. Is probabilitistic,universal, fault tolerant quantum. Fault tolerant quantum computation versus realistic noise. Sudebkumar prasant pal abstract quantum computing is an exciting alternative model to classical computation. Fault tolerant quantum computation with high threshold. A note on threshold theorem of fault tolerant quantum computation 25 jun 2010. We will not be able to discuss the threshold theorem under the most restrictive of all assumptions which. To build a quantum computer which behaves correctly in the presence of errors, we also need a theory of faulttolerant quantum computation. No part of this book may be reproduced in any form by any electronic or mechanical means including.
For the faulttolerant scheme of quantum computation described in this paper we require a quantum code with the following three properties. Quantum computation with topological codes springerlink. Fault tolerant quantum computing the fault tolerant quantum computing roadmap aims for a fullstack scalable quantum computing system, including the qubit circuits, the control electronics, and the software layers such as compilers. Recently shor23 showed how to use quant urn codes in order to perform fault tolerant quantum computation when the noise rate, or the fault probability each time. But the coding is inefficient and requires many quantum bits 10,11,12, which results in physically unwieldy fault tolerant quantum circuits 10,11,12,14,15,16,17,18. It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware, perhaps by invoking topological aharonovbohm. Resource cost of fault tolerant quantum computing in hybrid quantum computers and linearoptical quantum computers ying li, peter c. The remaining ingredients for a faulttolerant quantum computer are gates and measurements, which also happen to be straightforward to implement.
But the coding is inefficient and requires many quantum bits 10,11,12, which results in physically unwieldy faulttolerant quantum circuits 10,11,12,14,15,16,17,18. Packed with over 40 realworld problems, 35 field exercises, and 17 workedout examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible. Over a decade has passed since this monumental accomplishment yet no book length pedagogical presentation of this important theory exists. Faulttolerant quantum computation introduction to quantum. The issue of fault tolerance is central to the future of quantum computation. These concepts underly the theoretical framework of largescale quantum computation and communications and are the driving force for many recent experimental efforts to construct small to medium sized arrays of controllable quantum bits. And given those constructions, we have essentially shown the threshold theorem for faulttolerant quantum computation in a far from rigorous manner, however. Such faulttolerant measurements will allow more frequent interrogations of the state of the logical qubit, ultimately leading to the implementation of more quantum operations and more complex entangled quantum circuits. Fault tolerant quantum computation with nondeterministic entangling gates 16 mar 2018 paywall with abstract from the arxiv. If its operating quality decreases at all, the decrease is proportional to the severity of the failure, as compared to a naively designed system, in which even a small failure can cause total breakdown. Preskill, john 1998 fault tolerant quantum computers. Box 218, yorktown heights, new york 10598, usa received 15 october 2004. There are lots of details which we need to pay attention to in.
It is useful to list the assumptions which are put into the model. Quantumerrorcorrectionandfaulttolerantquantumcomputing download quantumerrorcorrectionandfaulttolerantquantumcomputing ebook pdf or read online books in pdf, epub, and mobi format. Recently shor23 showed how to use quant urn codes in order to perform fault tolerant quantum computation when the noise rate, or. In this paper we provide a basic introduction of the core ideas and theories surrounding fault tolerant quantum computation. Blueprint for faulttolerant quantum computation with rydberg atoms 14 nov 2017 paywall with. The paper thus provides a self contained and complete proof for universal fault tolerant quantum computation. Scalable quantum computers require a farreaching theory of faulttolerant quantum computation. The book covers everything required to understand topological faulttolerant quantum computation, ran. Numerous and frequentlyupdated resource results are available from this search.
Fault tolerance is the property that enables a system to continue operating properly in the event of the failure of or one or more faults within some of its components. Level reduction and the quantum threshold theorem 11. Divincenzo2, 1columbia university, 1214 amsterdam avenue, mc. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Fibonacci scheme for fault tolerant quantum computation panos aliferis1 and john preskill2 1ibm watson research center, p. Provides a comprehensive introduction to topological quantum codes and fault tolerant quantum computation with them. In the context of stabilizer codes, i will discuss a number of known codes, the capacity of a quantum channel, bounds on quantum codes, and fault tolerant quantum computation. We are interested in questions such as which resources are required to achieve a quantum computational advantage, how to utilize such resources in practice, and how to characterize and control noise throughout a computation. The goal of faulttolerant quantum computing is to simulate accurately the ideal quantum circuit model using the imperfect noisy gates that can be executed by. Faulttolerant quantum computation with high threshold in. This encoded universality paradigm offers potential simplifications in quantum computer design since it does away with the need to perform singlequbit rotations. Faulttolerant quantum computation via exchange interactions. In the context of stabilizer codes, i will discuss a number of known codes, the capacity of a quantum channel, bounds on quantum codes, and faulttolerant quantum computation. Such computation is fault tolerant by its physical nature.
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