Reduced space-time and time costs Ising dislocation codes and arbitrary ancillas

  title={Reduced space-time and time costs Ising dislocation codes and arbitrary ancillas},
  author={Matthew B. Hastings and Alan Geller},
  journal={Quantum Inf. Comput.},
We propose two distinct methods of improving quantum computing protocols based on surface codes. First, we analyze the use of dislocations instead of holes to produce logical qubits, potentially reducing spacetime volume required. Dislocations[8, 9] induce defects which, in many respects, behave like Majorana quasi-particles. We construct circuits to implement these codes and present fault-tolerant measurement methods for these and other defects which may reduce spatial overhead. One advantage… Expand
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