Author
Michael A. Nielsen
Other affiliations: California Institute of Technology, Perimeter Institute for Theoretical Physics, University of California, Santa Barbara ...read more
Bio: Michael A. Nielsen is an academic researcher from University of Queensland. The author has contributed to research in topics: Quantum information & Quantum algorithm. The author has an hindex of 57, co-authored 120 publications receiving 55138 citations. Previous affiliations of Michael A. Nielsen include California Institute of Technology & Perimeter Institute for Theoretical Physics.
Papers published on a yearly basis
Papers
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Patent•
29 Jan 2010TL;DR: In this article, an oil separator is configured with a core of lengths of pipe (4) extending in parallel, and an oil-containing agent is conveyed through these channels (3 ) in the pipes (4 ), the oil molecules will settle as an oil coating on the channel walls.
Abstract: When, according to the invention, an oil separator ( 1 ) is configured with a core of lengths of pipe ( 4 ) extending in parallel, and an oil-containing agent ( 5 ) is conveyed through these channels ( 3 ) in the pipes ( 4 ), the oil molecules will settle as an oil coating ( 6 ) on the channel walls. At some point, the pressure of the medium will increase, when the flow is reduced, whereby the oil will be pressed out of the pipes ( 4 ). Then, upon settling, the oil separation will be resumed, and the separated oil ( 6 ) may be collected, while the agent ( 12 ) cleaned of oil may be reused and, following reuse, be fed to the cleaning system and its oil separator.
Posted Content•
TL;DR: In this article, the authors investigate measures of chaos in the measurement record of a quantum system which is being observed and find that a smooth transition between chaotic and regular behavior is found.
Abstract: We investigate measures of chaos in the measurement record of a quantum system which is being observed Such measures are attractive because they can be directly connected to experiment Two measures of chaos in the measurement record are defined and investigated numerically for the case of a quantum kicked top A smooth transition between chaotic and regular behavior is found
TL;DR: In this article, the authors derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible and analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ''Maxwell demon'' for which there is an entropy cost associated with information obtained from measurements performed during error correction.
Abstract: Quantum operations provide a general description of the state changes allowed by quantum mechanics. The reversal of quantum operations is important for quantum error-correcting codes, teleportation, and reversing quantum measurements. We derive information-theoretic conditions and equivalent algebraic conditions that are necessary and sufficient for a general quantum operation to be reversible. We analyze the thermodynamic cost of error correction and show that error correction can be regarded as a kind of ``Maxwell demon,'' for which there is an entropy cost associated with information obtained from measurements performed during error correction. A prescription for thermodynamically efficient error correction is given.
Cited by
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TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.
Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …
33,785 citations
01 Dec 2010
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Abstract: Part I. Fundamental Concepts: 1. Introduction and overview 2. Introduction to quantum mechanics 3. Introduction to computer science Part II. Quantum Computation: 4. Quantum circuits 5. The quantum Fourier transform and its application 6. Quantum search algorithms 7. Quantum computers: physical realization Part III. Quantum Information: 8. Quantum noise and quantum operations 9. Distance measures for quantum information 10. Quantum error-correction 11. Entropy and information 12. Quantum information theory Appendices References Index.
14,825 citations
TL;DR: Spintronics, or spin electronics, involves the study of active control and manipulation of spin degrees of freedom in solid-state systems as discussed by the authors, where the primary focus is on the basic physical principles underlying the generation of carrier spin polarization, spin dynamics, and spin-polarized transport.
Abstract: Spintronics, or spin electronics, involves the study of active control and manipulation of spin degrees of freedom in solid-state systems. This article reviews the current status of this subject, including both recent advances and well-established results. The primary focus is on the basic physical principles underlying the generation of carrier spin polarization, spin dynamics, and spin-polarized transport in semiconductors and metals. Spin transport differs from charge transport in that spin is a nonconserved quantity in solids due to spin-orbit and hyperfine coupling. The authors discuss in detail spin decoherence mechanisms in metals and semiconductors. Various theories of spin injection and spin-polarized transport are applied to hybrid structures relevant to spin-based devices and fundamental studies of materials properties. Experimental work is reviewed with the emphasis on projected applications, in which external electric and magnetic fields and illumination by light will be used to control spin and charge dynamics to create new functionalities not feasible or ineffective with conventional electronics.
9,158 citations
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TL;DR: In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.
Abstract: All our former experience with application of quantum theory seems to say:
{\it what is predicted by quantum formalism must occur in laboratory} But the
essence of quantum formalism - entanglement, recognized by Einstein, Podolsky,
Rosen and Schr\"odinger - waited over 70 years to enter to laboratories as a
new resource as real as energy This holistic property of compound quantum systems, which involves
nonclassical correlations between subsystems, is a potential for many quantum
processes, including ``canonical'' ones: quantum cryptography, quantum
teleportation and dense coding However, it appeared that this new resource is
very complex and difficult to detect Being usually fragile to environment, it
is robust against conceptual and mathematical tools, the task of which is to
decipher its rich structure This article reviews basic aspects of entanglement including its
characterization, detection, distillation and quantifying In particular, the
authors discuss various manifestations of entanglement via Bell inequalities,
entropic inequalities, entanglement witnesses, quantum cryptography and point
out some interrelations They also discuss a basic role of entanglement in
quantum communication within distant labs paradigm and stress some
peculiarities such as irreversibility of entanglement manipulations including
its extremal form - bound entanglement phenomenon A basic role of entanglement
witnesses in detection of entanglement is emphasized
6,980 citations