Corpus ID: 119423185

Quantum computing and error correction

@article{Steane2003QuantumCA,
  title={Quantum computing and error correction},
  author={A. Steane},
  journal={arXiv: Quantum Physics},
  year={2003},
  volume={182}
}
  • A. Steane
  • Published 2003
  • Physics, Mathematics
  • arXiv: Quantum Physics
The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be understood as a combination of Pauli operators acting on the system. Each quantum error correcting code allows a subset of these errors to be corrected. In many situations the noise is such that the remaining uncorrectable errors are unlikely to arise, and… Expand
Classical Control of Large-Scale Quantum Computers
Probabilistic Model-Checking of Quantum Protocols (Extended Abstract)
Sparse-graph codes for quantum error correction
Quantum Error Correcting Codes
Probabilistic Model-Checking of Quantum Protocols
Applications of quantum algorithms to partially observable Markov decision processes
Quantum convolutional codes design and their encoder architectures
  • J. Kong, K.K. Parhi
  • Mathematics
  • Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004.
  • 2004
Model checking quantum protocols
...
1
2
3
...

References

SHOWING 1-10 OF 29 REFERENCES
Theory of quantum error correction for general noise
Reliable quantum computers
  • J. Preskill
  • Physics, Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
Theory of quantum error-correcting codes
Error Correcting Codes in Quantum Theory.
  • Steane
  • Physics, Medicine
  • Physical review letters
  • 1996
Efficient fault-tolerant quantum computing
Quantum Error Correction Via Codes Over GF(4)
Multiple-particle interference and quantum error correction
  • A. Steane
  • Mathematics, Physics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1996
Theory of fault-tolerant quantum computation
Active Stabilization, Quantum Computation, and Quantum State Synthesis
...
1
2
3
...