Home > Quantum Error > Quantum Error Correction Lidar Brun# Quantum Error Correction Lidar Brun

## Here we develop error correction for quantum annealing and experimentally demonstrate it using antiferromagnetic chains with up to 344 superconducting flux qubits in processors that have recently been shown to physically

Cambridge University Press. Rev. Brun, and D.A. Natl Acad. news

Lidar and Todd A. Lett. 109, 100503 (2012).CASPubMedArticle20.Chiaverini, J. Schoelkopf, "Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits," Nature 482, 382-385 (2012), doi:10.1038/nature10786, arXiv:1109.4948 ^ M. Lidar, and J.

This shows that the EP strategy can be better than the purely classical strategies but by itself is insufficient, and it must be supplemented by decoding as in the complete QAC Related areas Communications and Signal Processing **Graduate Textbooks History,** Philosophy and Foundations of Physics Quantum Physics, Quantum Information and Quantum Computation Printer friendly version © Cambridge University Press 2016. C., Sarovar, M. & Blume-Kohout, R. Young, R.

S. Rev. Rev. The periodicity of four observed for Hamming distance ≥20 reflects the flipping of an entire encoded qubit.

Physics 2, 5 (2014).42.Childs, A. 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. Jost, E. http://www.cambridge.org/catalogue/catalogue.asp?isbn=1107439051 Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation.

Mishra, T. BrunGedeeltelijke weergave - 2013Quantum Error CorrectionDaniel A. Proc. As antiferromagnetic chains have two degenerate **ground states, below we consider** the ground state for any given experimentally measured state to be that with which the majority of the decoded qubits

Rev. In the case of Hamiltonian evolution, the conditions for unitary correctability concern only the effect of the Hamiltonian on the system, whereas the conditions for general correctability concern the entire system-environment Classical error correcting codes use a syndrome measurement to diagnose which error corrupts an encoded state. Lidar,Todd A.

P., Knysh, S. & Smelyanskiy, V. http://caribtechsxm.com/quantum-error/quantum-error-correction.php The condensed graph (e) is isomorphic **to the standard representation of the** K3,3 bipartite graph (f).Full size imageAdiabatic Markovian master equationTo derive the master equation used in performing the simulations, we Order within and choose One-Day Shipping at checkout. We turn next to an analysis and explanation of our results.Figure 5: Experimental optimization of the penalty strength β.The top (bottom) row shows colour density plots of the experimental success probability

- This is explained in Fig. 4b.
- This three qubits bit flip code can correct one error if at most one bit-flip-error occurred in the channel.
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On the generators of quantum dynamical semigroups. M. & Lloyd, S. Rev. More about the author As a special case, we consider conditions for unitary correctability.

D., Nagaj, D. & Kieferová, M. Caves, D. Introduction to **decoherence-free subspaces and noiseless subsystems** Daniel Lidar; 4.

Lidar. [pdf] "Quantum error suppression with commuting Hamiltonians: Two-local is too local", Phys. Kosut, A. Orange circles represent logical qubits lacking their penalty qubit (see Methods). analysed the master equation and performed the numerical simulations.

B. Sci. 105, 11050–11054 (2008).CASPubMedArticle23.Aoki, T. D-Wave: comment on comparison with classical computers; URL, http://tinyurl.com/Selby-D-Wave (2013).40.Barahona, F. http://caribtechsxm.com/quantum-error/quantum-error-correction-usc.php Each circle represents a physical qubit and each line a programmable Ising coupling .

wrote the manuscript with input from T.A. Our key finding is the high success probability of the complete QAC strategy for α=1 (Fig. 3a), improving significantly over the four other strategies as the chain length increases, and resulting C. J.

We can decode the parallel chains in two ways.