Advances in physics theories and applications

Feedback Based On Multi-Qubit Measurements, Multiple-Particle Interference And Quantum Error Correction And Other Models

K.N.P. Kumar

Published Jan 1, 2013• 0 citations

Abstract

Feedback Based On Multi-Qubit Measurements, Multiple-Particle Interference And Quantum Error Correction, Theory Of Quantum Error-Correcting Codes, Theory Of Quantum Error-Correcting Codes-2, Theory Of Quantum Error-Correcting Codes-3, New Class Of Quantum Error-Correcting Codes For A Bosonic Mode, New Class Of Quantum Error-Correcting Codes For A Bosonic Mode, Bosonic Quantum Memories, Photonic Quantum Communication, And Optical-To-Microwave Up- And Down-Conversion, Mixed State Entanglement And Quantum Error Correction, Mixed State Entanglement And Quantum Error Correction-2, Mixed State Entanglement And Quantum Error Correction-3, Universal Operator Theoretic Framework For Quantum Fault Tolerance, Efficiently Controllable Graphs. Foregoing system and its connected properties are studied in detail. The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-555138-561343.pdf

Related papers

Error Correcting Codes In Quantum Theory, Scheme For Reducing Decoherence In Quantum Computer Memory, Correcting Quantum Computer Errors, Qubits Based On Quantum Spins, And Other Topics: A fomentation-Dissipation Model

Kumar, K.N.P.

We study attendant properties of the following system: Error Correcting Codes In Quantum Theory, Scheme For Reducing Decoherence In Quantum Computer Memory, Correcting Quantum Computer Errors, Qubits Based On Quantum Spins, Nine-Qubit State Is A Set Of Three Groups, Repeated Quantum Error Correction On A Continuously Encoded Qubit, Active Error Correction On A Continuously Protected Logical Qubit, Correction Of Errors In Encoded Quantum States, Connection Between The Observers Will Typically Be Subject To Disturbances That Can Disrupt The Entanglement, Reconstruct The Original Qubit From The Unchanged Pair, Quantum Error Correction That Extends The Lifetime Of Quantum Information, Error Correction Under Different Types Of Noise Key words: Quantum error correction, Qubit, Noise The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-548811-555137.pdf

Feb 28, 20130 citations

Quantum error correction

Isaac L. Chuang

Abstract This chapter treats the subject of quantum error correction and fault-tolerant quantum computation. In particular, it presents the various representations of open-system quantum dynamics, insisting on the indistinguishability between different unravelings. Quantum error correction with discrete gates reacting to discrete error syndromes obtained from projective measurement can be seen as a form of quantum feedback that stabilizes a whole manifold of quantum states rather than a single one. The chapter gives a useful general introduction to the theory of stabilizers, which is key to the understanding of error correcting codes. It explains in full detail the principles behind the size of the overhead needed to make the entire quantum processor fault-tolerant, not just its memory.

Jun 12, 201421 citations

Quantum Error Correction

Ciarán Ryan-Anderson

Quantum computation and information is one of the most exciting developments in science and technology of the last twenty years. 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. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science.

Cambridge University Press eBooksSep 5, 2013655 citations

New Class of Quantum Error-Correcting Codes for a Bosonic Mode

Marios H. Michael, Matti Silveri, Richard Brierley +4 more

Optimal quantum error-correction codes are necessary to extend the lifetime of quantum memories. A new error-correction code to rectify photon loss, gain, and dephasing errors in electromagnetic cavities is presented.

arXiv:1602.00008Physical Review XJul 14, 2016430 citations

Correlated Quantum Walks In Optical Lattices, Holographic Quantum Error-Correcting Codes, Valence-Bond States And Weak Nonlinearities, Entangled Microwave Photon States, Photon Emission From A Cavity-Coupled Double Quantum Dot, Classical Simulation Of Qua

K.N.P. Kumar

Properties of systems near quantum critical points (QCPs) have been studied extensively. A QCP is a point across which the symmetry of (e) the ground state of a quantum system changes (e&eb) in a fundamental way; such a point can be accessed by (e) changing some parameter, say λ, in the Hamiltonian governing the system. The change in the ground state across a QCP is mediated by (e&eb) quantum fluctuations. Unlike conventional thermal critical points, thermal fluctuations do not (e) play a crucial role in such transitions. Similar to its thermal counterparts, the low-energy physics near a QCP is associated with (e&*eb) a number of critical exponents which characterize (eb) the universality class of such a transition. Among these exponents,....... The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-414213-418614.pdf

Advances in physics theories and applicationsJan 1, 20130 citations

Practical Advances in Quantum Error Correction & Communication

Daniel Benjamin Criger

Quantum computing exists at the intersection of mathematics, physics, chemistry, and engineering; the main goal of quantum computing is the creation of devices and algorithms which use the properties of quantum mechanics to store, manipulate and measure information. There exist many families of algorithms, which, using non-classical logical operations, can outperform traditional, classical algorithms in terms of memory and processing requirements. In addition, quantum computing devices are fundamentally smaller than classical processors and memory elements; since the physical models governing their performance are applicable on all scales, as opposed to classical logic elements, whose underlying principles rely on the macroscopic nature of the device in question. \n \nQuantum algorithms, for the most part, are predicated on a theory of resources. It is often assumed that quantum computers can be placed in a precise fiducial state prior to computation, and that logical operations are perfect, inducing no error on the system which they affect. These assumptions greatly simplify algorithmic design, but are fundamentally unrealistic. In order to justify their use, it is necessary to develop a framework for using a large number of imperfect devices to simulate the action of a perfect device, with some acceptable probability of failure. This is the study of fault-tolerant quantum computing. In order to pursue this study effectively, it is necessary to understand the fundamental nature of generic quantum states and operations, as well as the means by which one can correct quantum errors. Additionally, it is important to attempt to minimize the use of computational resources in achieving error reduction and fault-tolerant computing. \n \nThis thesis is concerned with three projects related to the use of error-prone quantum systems to transmit and manipulate information. The first of these is concerned with the use of imperfectly-prepared states in error-correction routines. Using optimal quantum error correction, we are able to deduce a method of partially protecting encoded quantum information against preparation errors prior to encoding, using no additional qubits. The second of these projects details the search for entangled states which can be used to transmit classical information over quantum channels at a rate superior to classical states. The third of these projects concerns the transcoding of data from one quantum code into another using few ancillary resources. The descriptions of these projects are preceded by a brief introduction to representations of quantum states and channels, for completeness. \n \nThree techniques of general interest are presented in appendices. The first is an introduction to, and a minor advance in the development of optimal error correction codes. The second is a more efficient means of calculating the action of a quantum channel on a given state, given that the channel acts non-trivially only on a subsystem, rather than the entire system. Finally, we include documentation on a software package developed to aid the search for quantum transcoding operations.

Oct 25, 20131 citation