Quantum error correction is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantumâ€¦Â (More)

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Highly Cited

2012

Highly Cited

2012

- Matthew D. Reed, Leonardo DiCarlo, +4 authors Robert J. Schoelkopf
- Nature
- 2012

Quantum computers could be used to solve certain problems exponentially faster than classical computers, but are challenging toâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- David J. C. MacKay, G. Mitchison, P. L. McFadden
- IEEE Transactions on Information Theory
- 2004

Sparse-graph codes appropriate for use in quantum error-correction are presented. Quantum error-correcting codes based on sparseâ€¦Â (More)

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Highly Cited

2002

2001

2001

3 Quantum Error Correction 17 3.1 Trivial Two-Qubit Example. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17â€¦Â (More)

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2000

2000

- Daniel Gottesman
- 2000

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliableâ€¦Â (More)

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Highly Cited

1998

Highly Cited

1998

- A. Robert Calderbank, Eric M. Rains, Peter W. Shor, N. J. A. Sloane
- IEEE Trans. Information Theory
- 1998

The problem of finding quantum-error-correcting codes is transformed into the problem of finding additive codes over the field GFâ€¦Â (More)

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1998

1998

- Mika Hirvensalo
- 1998

An introduction to formalism of quantum computation and to the theory of quantum error-correcting codes is presented. Errorâ€¦Â (More)

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1998

1998

- Raymond Laflamme
- 1998

Quantum error correction is required to compensate for the fragility of the state of a quantum computer. We report the firstâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

o A quantum error-correcting code is a way of encodi quantum states into qubits (two-state quantum systems that error orâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- Andrew M. Steane
- 1995

The concept of multiple particle interference is discussed, using insights provided by the classical theory of error correctingâ€¦Â (More)

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