Error correction for a spin quantum computer

G. P. Berman, David K Campbell, V. I. Tsifrinovich · Physical review. B, Condensed matter · 1997

The problems of error correction in a spin quantum computer are discussed. For digital processing in the Ising and Heisenberg chains driven by a resonant electromagnetic field, the simple schemes are suggested which provide correction of errors caused by imperfect \ensuremath{\pi} pulses, and prevent the most significant errors caused by the nonresonant action of \ensuremath{\pi} pulses. The probability of error caused by the Heisenberg interaction during the action of \ensuremath{\pi} pulses is estimated. For quantum computations in spin systems a principal opportunity to correct the phase errors, based on Steane's three quantum-bits scheme, is described.

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