Abstract
We provide a rigorous analysis of fault-tolerant quantum computation in the presence of local leakage faults. We show that one can systematically deal with leakage by using appropriate leakage-reduction units such as quantum teleportation. The leakage noise is described microscopically, by Hamiltonian couplings, and the noise is treated coherently, similar to general non-Markovian noise analyzed in Refs. [1] and [2]. We describe ways to limit the use of leakage-reduction units while keeping the quantum circuits faulttolerant and we also discuss how leakage reduction by teleportation is naturally achieved in measurement-based computation.
Original language | English |
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Pages (from-to) | 139-156 |
Number of pages | 18 |
Journal | Quantum Information and Computation |
Volume | 7 |
Issue number | 1-2 |
Publication status | Published - 2007 |
Externally published | Yes |
Keywords
- Leakage noise
- Quantum fault tolerance