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NMR Quantum Information Processing

Author: Ivan Oliveira

Publisher: Elsevier

Published: 2011-04-18

Total Pages: 265

ISBN-13: 0080497527

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Quantum Computation and Quantum Information (QIP) deals with the identification and use of quantum resources for information processing. This includes three main branches of investigation: quantum algorithm design, quantum simulation and quantum communication, including quantum cryptography. Along the past few years, QIP has become one of the most active area of research in both, theoretical and experimental physics, attracting students and researchers fascinated, not only by the potential practical applications of quantum computers, but also by the possibility of studying fundamental physics at the deepest level of quantum phenomena. NMR Quantum Computation and Quantum Information Processing describes the fundamentals of NMR QIP, and the main developments which can lead to a large-scale quantum processor. The text starts with a general chapter on the interesting topic of the physics of computation. The very first ideas which sparkled the development of QIP came from basic considerations of the physical processes underlying computational actions. In Chapter 2 it is made an introduction to NMR, including the hardware and other experimental aspects of the technique. In Chapter 3 we revise the fundamentals of Quantum Computation and Quantum Information. The chapter is very much based on the extraordinary book of Michael A. Nielsen and Isaac L. Chuang, with an upgrade containing some of the latest developments, such as QIP in phase space, and telecloning. Chapter 4 describes how NMR generates quantum logic gates from radiofrequency pulses, upon which quantum protocols are built. It also describes the important technique of Quantum State Tomography for both, quadrupole and spin 1/2 nuclei. Chapter 5 describes some of the main experiments of quantum algorithm implementation by NMR, quantum simulation and QIP in phase space. The important issue of entanglement in NMR QIP experiments is discussed in Chapter 6. This has been a particularly exciting topic in the literature. The chapter contains a discussion on the theoretical aspects of NMR entanglement, as well as some of the main experiments where this phenomenon is reported. Finally, Chapter 7 is an attempt to address the future of NMR QIP, based in very recent developments in nanofabrication and single-spin detection experiments. Each chapter is followed by a number of problems and solutions. * Presents a large number of problems with solutions, ideal for students * Brings together topics in different areas: NMR, nanotechnology, quantum computation * Extensive references

Book Synopsis NMR Quantum Information Processing by : Ivan Oliveira

Download or read book NMR Quantum Information Processing written by Ivan Oliveira and published by Elsevier. This book was released on 2011-04-18 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Computation and Quantum Information (QIP) deals with the identification and use of quantum resources for information processing. This includes three main branches of investigation: quantum algorithm design, quantum simulation and quantum communication, including quantum cryptography. Along the past few years, QIP has become one of the most active area of research in both, theoretical and experimental physics, attracting students and researchers fascinated, not only by the potential practical applications of quantum computers, but also by the possibility of studying fundamental physics at the deepest level of quantum phenomena. NMR Quantum Computation and Quantum Information Processing describes the fundamentals of NMR QIP, and the main developments which can lead to a large-scale quantum processor. The text starts with a general chapter on the interesting topic of the physics of computation. The very first ideas which sparkled the development of QIP came from basic considerations of the physical processes underlying computational actions. In Chapter 2 it is made an introduction to NMR, including the hardware and other experimental aspects of the technique. In Chapter 3 we revise the fundamentals of Quantum Computation and Quantum Information. The chapter is very much based on the extraordinary book of Michael A. Nielsen and Isaac L. Chuang, with an upgrade containing some of the latest developments, such as QIP in phase space, and telecloning. Chapter 4 describes how NMR generates quantum logic gates from radiofrequency pulses, upon which quantum protocols are built. It also describes the important technique of Quantum State Tomography for both, quadrupole and spin 1/2 nuclei. Chapter 5 describes some of the main experiments of quantum algorithm implementation by NMR, quantum simulation and QIP in phase space. The important issue of entanglement in NMR QIP experiments is discussed in Chapter 6. This has been a particularly exciting topic in the literature. The chapter contains a discussion on the theoretical aspects of NMR entanglement, as well as some of the main experiments where this phenomenon is reported. Finally, Chapter 7 is an attempt to address the future of NMR QIP, based in very recent developments in nanofabrication and single-spin detection experiments. Each chapter is followed by a number of problems and solutions. * Presents a large number of problems with solutions, ideal for students * Brings together topics in different areas: NMR, nanotechnology, quantum computation * Extensive references

Quantum Entanglement and Information Processing

Author: Daniel Esteve

Publisher: Elsevier

Published: 2004-12-13

Total Pages: 644

ISBN-13: 9780444517289

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Presents the lecture notes of the Les Houches Summer School on Quantum entanglement and information processing. This book aims to establish connections between the communities of quantum optics and of quantum electronic devices working in the area of quantum computing. It is useful for graduate students with a basic knowledge of quantum mechanics.

Book Synopsis Quantum Entanglement and Information Processing by : Daniel Esteve

Download or read book Quantum Entanglement and Information Processing written by Daniel Esteve and published by Elsevier. This book was released on 2004-12-13 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the lecture notes of the Les Houches Summer School on Quantum entanglement and information processing. This book aims to establish connections between the communities of quantum optics and of quantum electronic devices working in the area of quantum computing. It is useful for graduate students with a basic knowledge of quantum mechanics.

Electron Spin Resonance (ESR) Based Quantum Computing

Author: Takeji Takui

Publisher: Springer

Published: 2016-10-12

Total Pages: 259

ISBN-13: 1493936581

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This book addresses electron spin-qubit based quantum computing and quantum information processing with a strong focus on the background and applications to EPR/ESR technique and spectroscopy. It explores a broad spectrum of topics including quantum computing, information processing, quantum effects in electron-nuclear coupled molecular spin systems, adiabatic quantum computing, heat bath algorithmic cooling with spins, and gateway schemes of quantum control for spin networks to NMR quantum information. The organization of the book places emphasis on relevant molecular qubit spectroscopy. These revolutionary concepts have never before been included in a comprehensive volume that covers theory, physical basis, technological basis, applications, and new advances in this emerging field. Electron Spin Resonance (ESR) Based Quantum Computing, co-edited by leading and renowned researchers Takeji Takui, Graeme Hanson and Lawrence J Berliner, is an ideal resource for students and researchers in the fields of EPR/ESR, NMR and quantum computing. This book also • Explores methods of harnessing quantum effects in electron-nuclear coupled molecular spin systems • Expertly discusses applications of optimal control theory in quantum computing • Broadens the readers’ understanding of NMR quantum information processing

Book Synopsis Electron Spin Resonance (ESR) Based Quantum Computing by : Takeji Takui

Download or read book Electron Spin Resonance (ESR) Based Quantum Computing written by Takeji Takui and published by Springer. This book was released on 2016-10-12 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses electron spin-qubit based quantum computing and quantum information processing with a strong focus on the background and applications to EPR/ESR technique and spectroscopy. It explores a broad spectrum of topics including quantum computing, information processing, quantum effects in electron-nuclear coupled molecular spin systems, adiabatic quantum computing, heat bath algorithmic cooling with spins, and gateway schemes of quantum control for spin networks to NMR quantum information. The organization of the book places emphasis on relevant molecular qubit spectroscopy. These revolutionary concepts have never before been included in a comprehensive volume that covers theory, physical basis, technological basis, applications, and new advances in this emerging field. Electron Spin Resonance (ESR) Based Quantum Computing, co-edited by leading and renowned researchers Takeji Takui, Graeme Hanson and Lawrence J Berliner, is an ideal resource for students and researchers in the fields of EPR/ESR, NMR and quantum computing. This book also • Explores methods of harnessing quantum effects in electron-nuclear coupled molecular spin systems • Expertly discusses applications of optimal control theory in quantum computing • Broadens the readers’ understanding of NMR quantum information processing

Quantum Information Processing with Nuclear Magnetic Resonance

Author: Mark David Price

Publisher:

Published: 2000

Total Pages: 147

ISBN-13:

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(Cont.) As well, a review is provided of the work of others demonstrating various uses of an NMR QIP as a means of testing prime integer factorization, database searching, quantum simulation, and quantum teleportation. In the final analysis, a liquid state NMR quantum information processor can be used to implement and verify many of the basic ideas underlying quantum information processing.

Book Synopsis Quantum Information Processing with Nuclear Magnetic Resonance by : Mark David Price

Download or read book Quantum Information Processing with Nuclear Magnetic Resonance written by Mark David Price and published by . This book was released on 2000 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Cont.) As well, a review is provided of the work of others demonstrating various uses of an NMR QIP as a means of testing prime integer factorization, database searching, quantum simulation, and quantum teleportation. In the final analysis, a liquid state NMR quantum information processor can be used to implement and verify many of the basic ideas underlying quantum information processing.

Quantum Information, Computation and Communication

Author: Jonathan A. Jones

Publisher: Cambridge University Press

Published: 2012-07-19

Total Pages: 209

ISBN-13: 1107014468

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Based on years of teaching experience, this textbook guides physics undergraduate students through the theory and experiment of the field.

Book Synopsis Quantum Information, Computation and Communication by : Jonathan A. Jones

Download or read book Quantum Information, Computation and Communication written by Jonathan A. Jones and published by Cambridge University Press. This book was released on 2012-07-19 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on years of teaching experience, this textbook guides physics undergraduate students through the theory and experiment of the field.

Experimental Aspects of Quantum Computing

Author: Henry O. Everitt

Publisher: Springer Science & Business Media

Published: 2007-04-03

Total Pages: 303

ISBN-13: 0387277323

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Practical quantum computing still seems more than a decade away, and researchers have not even identified what the best physical implementation of a quantum bit will be. There is a real need in the scientific literature for a dialogue on the topic of lessons learned and looming roadblocks. This reprint from Quantum Information Processing is dedicated to the experimental aspects of quantum computing and includes articles that 1) highlight the lessons learned over the last 10 years, and 2) outline the challenges over the next 10 years. The special issue includes a series of invited articles that discuss the most promising physical implementations of quantum computing. The invited articles were to draw grand conclusions about the past and speculate about the future, not just report results from the present.

Book Synopsis Experimental Aspects of Quantum Computing by : Henry O. Everitt

Download or read book Experimental Aspects of Quantum Computing written by Henry O. Everitt and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical quantum computing still seems more than a decade away, and researchers have not even identified what the best physical implementation of a quantum bit will be. There is a real need in the scientific literature for a dialogue on the topic of lessons learned and looming roadblocks. This reprint from Quantum Information Processing is dedicated to the experimental aspects of quantum computing and includes articles that 1) highlight the lessons learned over the last 10 years, and 2) outline the challenges over the next 10 years. The special issue includes a series of invited articles that discuss the most promising physical implementations of quantum computing. The invited articles were to draw grand conclusions about the past and speculate about the future, not just report results from the present.

Quantum Computation and Quantum Information Theory

Author: Chiara Macchiavello

Publisher: World Scientific

Published: 2000

Total Pages: 531

ISBN-13: 9810241178

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Quantum Entanglement Manipulation - Quantum Algorithms - Quantum Complexity - Quantum Error Correction - Quantum Channels - Entanglement Purification and Long-Distance Quantum Communication - Quantum Key Distribution - Cavity Quantum Electrodynamics - Quantum Computation with Ion Traps - Josephson Junctions and Quantum Computation - Quantum Computing in Optical Lattices - Quantum Computation and Quantum Communication with Electrons - NMR Quantum Computing.

Book Synopsis Quantum Computation and Quantum Information Theory by : Chiara Macchiavello

Download or read book Quantum Computation and Quantum Information Theory written by Chiara Macchiavello and published by World Scientific. This book was released on 2000 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Entanglement Manipulation - Quantum Algorithms - Quantum Complexity - Quantum Error Correction - Quantum Channels - Entanglement Purification and Long-Distance Quantum Communication - Quantum Key Distribution - Cavity Quantum Electrodynamics - Quantum Computation with Ion Traps - Josephson Junctions and Quantum Computation - Quantum Computing in Optical Lattices - Quantum Computation and Quantum Communication with Electrons - NMR Quantum Computing.

Quantum Measurement and Control

Author: Howard M. Wiseman

Publisher: Cambridge University Press

Published: 2010

Total Pages: 477

ISBN-13: 0521804426

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Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.

Book Synopsis Quantum Measurement and Control by : Howard M. Wiseman

Download or read book Quantum Measurement and Control written by Howard M. Wiseman and published by Cambridge University Press. This book was released on 2010 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.

Quantum Information and Quantum Computing

Author: Mikio Nakahara

Publisher: World Scientific

Published: 2013

Total Pages: 194

ISBN-13: 9814425222

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The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This is a collection of the research outcomes by the members engaged in the project. To make the presentation self-contained, it starts with an overview by Mikio Nakahara, which serves as a concise introduction to quantum information and quantum computing. Subsequent contributions include subjects from physics, chemistry, mathematics, and information science, reflecting upon the wide variety of scientists working under this project. These contributions introduce NMR quantum computing and related techniques, number theory and coding theory, quantum error correction, photosynthesis, non-classical correlations and entanglement, neutral atom quantum computer, among others. Each of the contributions will serve as a short introduction to these cutting edge research fields.

Book Synopsis Quantum Information and Quantum Computing by : Mikio Nakahara

Download or read book Quantum Information and Quantum Computing written by Mikio Nakahara and published by World Scientific. This book was released on 2013 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This is a collection of the research outcomes by the members engaged in the project. To make the presentation self-contained, it starts with an overview by Mikio Nakahara, which serves as a concise introduction to quantum information and quantum computing. Subsequent contributions include subjects from physics, chemistry, mathematics, and information science, reflecting upon the wide variety of scientists working under this project. These contributions introduce NMR quantum computing and related techniques, number theory and coding theory, quantum error correction, photosynthesis, non-classical correlations and entanglement, neutral atom quantum computer, among others. Each of the contributions will serve as a short introduction to these cutting edge research fields.

The Implementation of Hybrid Codes and Nuclear Magnetic Resonance Quantum Information Processing

Author: Shayan Majidy

Publisher:

Published: 2017

Total Pages:

ISBN-13:

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The development of quantum error correcting techniques is of paramount importance to the ultimate goal of implementing practical quantum computers. The simultaneous transmission of quantum and classical information over a quantum channel was initially investigated by Shor and since been continued by others. It was shown that there is an advantage to transmitting both quantum and classical information simultaneously, compared to independent transmissions. The characterization and construction of codes that allow to transmit both quantum and classical information, which we refer to as hybrid codes, was done from a coding theory perspective and by using the operator algebra quantum error correction (OAQEC) perspective. In this work we unify these two perspectives, showing that the coding theory formulation is a specific case of the OAQEC perspective. As a result we generalized the quantum hamming bound to the hybrid case. To date no such hybrid codes have been physically implemented. Nuclear magnetic resonance (NMR) quantum information processors (QIP) have been an excellent test bed for quantum computing. The techniques of NMR had been refined for many years and can now be applied to quantum computing. NMR techniques provides a high degree of qubit control and long decoherence times compared to other QIP. These two properties of NMR QIP make it a prime candidate for implementing hybrid codes. In this work we developed a hybrid code and designed the circuit for encoding it. We used Matlab to simulate the pulse sequence which would be used in an NMR QIP to carry out the encoding of the hybrid circuit. According to those simulations the full encoding, a single qubit Pauli error and a full decoding can be carried out without the effects of decoherence destroying the quantum information beyond retrieval.

Book Synopsis The Implementation of Hybrid Codes and Nuclear Magnetic Resonance Quantum Information Processing by : Shayan Majidy

Download or read book The Implementation of Hybrid Codes and Nuclear Magnetic Resonance Quantum Information Processing written by Shayan Majidy and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of quantum error correcting techniques is of paramount importance to the ultimate goal of implementing practical quantum computers. The simultaneous transmission of quantum and classical information over a quantum channel was initially investigated by Shor and since been continued by others. It was shown that there is an advantage to transmitting both quantum and classical information simultaneously, compared to independent transmissions. The characterization and construction of codes that allow to transmit both quantum and classical information, which we refer to as hybrid codes, was done from a coding theory perspective and by using the operator algebra quantum error correction (OAQEC) perspective. In this work we unify these two perspectives, showing that the coding theory formulation is a specific case of the OAQEC perspective. As a result we generalized the quantum hamming bound to the hybrid case. To date no such hybrid codes have been physically implemented. Nuclear magnetic resonance (NMR) quantum information processors (QIP) have been an excellent test bed for quantum computing. The techniques of NMR had been refined for many years and can now be applied to quantum computing. NMR techniques provides a high degree of qubit control and long decoherence times compared to other QIP. These two properties of NMR QIP make it a prime candidate for implementing hybrid codes. In this work we developed a hybrid code and designed the circuit for encoding it. We used Matlab to simulate the pulse sequence which would be used in an NMR QIP to carry out the encoding of the hybrid circuit. According to those simulations the full encoding, a single qubit Pauli error and a full decoding can be carried out without the effects of decoherence destroying the quantum information beyond retrieval.