# Quantum Error Correction Protocol

## Contents |

Gaussian fits yield dephasing times =12.0(9), **9.1(6) and** 18.2(9) ms for qubits 1, 2 and 3, respectively. (d) Deterministic entanglement of two qubits by XX stabilizer measurement and feedback. and T.H.T. Strongly enhanced photon collection from diamond defect centres under microfabricated integrated solid immersion lenses. We show that the actively error-corrected logical qubit is robust against errors and that multiple rounds of error correction prevent errors from accumulating. weblink

Realization of quantum error correction. In most codes, the effect is either a bit flip, or a sign (of the phase) flip, or both (corresponding to the Pauli matrices X, Z, and Y). H. Phys. https://en.wikipedia.org/wiki/Quantum_error_correction

## Stabilizer Codes And Quantum Error Correction

Dashed lines are a guide to the eye. A Phys. Knill, C.

- Leibfried, T.
- Dicarlo, L.M.K.
- Rev.
- et al.
- This three qubits bit flip code can correct one error if at most one bit-flip-error occurred in the channel.
- Ozeri and D.

If an error is modeled by a unitary transform U, which will act on a qubit | ψ ⟩ {\displaystyle |\psi \rangle } , then U {\displaystyle U} can be described Shor is also responsible for the theoretical result that put quantum computing on the map, an algorithm that would enable a quantum computer to factor large numbers exponentially faster than a A simple error-correcting code could, for instance, instantiate a single qubit of data as three physical qubits. Steane Code Information about **registration may be found** here.

Hensen, M. 5 Qubit Code D. Rev. https://courses.physics.illinois.edu/phys513/sp2016/reading/week13/QECCIonsNature2004.pdf Fluids Phys.

The complete cycle can be repeated up to six times within the shortest qubit .Active quantum error correction on a logical qubitWe now turn to quantum error correction by stabilizer measurements. Bit Flip Memory Error J. Phys. 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

## 5 Qubit Code

Contents 1 The bit flip code 2 The sign flip code 3 The Shor code 4 General codes 5 Models 6 Experimental realization 7 See also 8 References 9 Bibliography 10 http://www.nature.com/articles/ncomms11526 The system returned: (22) Invalid argument The remote host or network may be down. Stabilizer Codes And Quantum Error Correction We know we can get there now, and it’s now a matter of making it a bit more practical.” Topics: Research, School of Science, Physics, Quantum computing