# Quantum Error Correction Cambridge University Press

## Contents |

Franson, "Demonstration of quantum error correction using linear optics," Phys. Rev. Lidar is a Professor of Electrical Engineering, Chemistry and Physics at the University of Southern California, and directs the USC Center for Quantum Information Science and Technology. Alternative Quantum Computation Approaches: 16. http://johnlautner.net/quantum-error/quantum-error-correction-ppt.html

High order dynamical decoupling Zhen-Yu Wang and Ren-Bao Liu; 15. 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. So a single qubit can not be repeated three times as in the previous example, as any measurement of the qubit will change its wave function. Matsuura, H.

## Quantum Error Correction Codes

Quantum convolutional codes Mark Wilde 10. Lidar [pdf] "Maps for General Open Quantum Systems and a Theory of Linear Quantum Error Correction", Phys. J.

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. Now these qubits will be **sent through** a channel E bit {\displaystyle E_{\text{bit}}} where we assume that at most one bit flip may occur. Brun, (Cambridge University Press, 2013) Subjects: Quantum Physics (quant-ph) Journalreference: In "Quantum Error Correction", edited by Daniel A. Bit Flip Memory Error Ozeri and D.

For instance, a qubit in the state | − ⟩ = ( | 0 ⟩ − | 1 ⟩ ) / 2 {\displaystyle |-\rangle =(|0\rangle -|1\rangle )/{\sqrt {2}}} may have its Quantum Error Correction For Beginners Pudenz, T. E. https://www.amazon.com/Quantum-Error-Correction-Daniel-Lidar/dp/0521897874 D.

As of late 2004, estimates for this threshold indicate that it could be as high as 1-3% [4], provided that there are sufficiently many qubits available. Quantum Error Correction Book 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. Please submit any corrections you spot to lidar[at]usc.edu p.23, equation (1.86): \sqrt{1-F} should be \sqrt{1-F^2}. "Optimally Combining Dynamical Decoupling and Quantum Error Correction", Scientific Reports 3, 1530 (2013), by G.A. Lett. 113, 260504 (2014), by I.

## Quantum Error Correction For Beginners

Critique of fault-tolerant quantum information processing Robert Alicki References Index.Look Inside Marketing Excerpt (264 KB) Index (128 KB) Copyright Information Page (82 KB) Table of Contents (85 KB) Front Matter (157 http://qserver.usc.edu/blog/category/topics/quantum-error-correction/ A. Quantum Error Correction Codes Non-additive quantum codes Markus Grassl and Martin Rötteler; 11. Quantum Code 7 Kremsky, and D.A.

Lidar Hardcover $116.40 May take an extra 1-2 days to ship.Ships from and sold by Amazon.com.FREE Shipping. Check This Out If U = i σ y {\displaystyle U=i\sigma _{y}} then both a bit flip error and a sign flip error occur. It provides in-depth **coverage on the most important class** of codes discovered to date—quantum stabilizer codes. Lidar [pdf] "Robust Quantum Error Correction via Convex Optimization", Phys. Stabilizer Codes And Quantum Error Correction

Young, R. Continuous-time quantum error correction Ognyan Oreshkov; Part III. Lidar. [pdf] "Quantum error suppression with commuting Hamiltonians: Two-local is too local", Phys. Source Nigg, L.

A 84, 012305 (2011), by H.K. Steane Code Info. Lidar. [pdf] "Scheme for Fault-Tolerant Holonomic Computation on Stabilizer Codes", Phys.

## A.

Processing 8, 441 (2009), by R.L. T. A more general class of codes (encompassing the former) are the stabilizer codes discovered by Daniel Gottesman ([1]), and by A. Quantum Code Burner 7.0 1 Barreiro, T.

Quantum error correction is essential if one is to achieve fault-tolerant quantum computation that can deal not only with noise on stored quantum information, but also with faulty quantum gates, faulty Lidar [pdf] ; "Erratum: Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing", Phys. Proc. 15, 2, pp. 609-636 (2016), by A. have a peek here Entanglement-assisted quantum error-correcting codes Todd Brun and Min-Hsiu Hsieh 8.

It uses entanglement and syndrome measurements and is comparable in performance with the repetition code. Rev. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. We then reverse an error by applying a corrective operation based on the syndrome.

Doering, C. Generalized Approaches to Quantum Error Correction:6. He has worked on quantum control theory for the past 15 years and is well known for his contributions to quantum error correction, in particular the development of decoherence-free subspaces.Todd A. If we assume that noisy errors are independent and occur with some probability p.It is most likely that the error is a single-bit error and the transmitted message is three ones.

Nishimori, T.