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Trapped Ion Quantum Computing
A Fault-Tolerant Scheme of Holonomic Quantum Computation on Stabilizer Codes with Robustness to Low-weight Thermal Noise
arXiv
Authors: Yi-Cong Zheng, Todd A. Brun
Year
2013
Paper ID
32864
Status
Preprint
Abstract Read
~2 min
Abstract Words
90
Citations
N/A
Abstract
We show an equivalence relation between fault-tolerant circuits for a stabilizer code and fault-tolerant adiabatic processes for holonomic quantum computation (HQC), in the case where quantum information is encoded in the degenerated ground space of the system Hamiltonian. By this equivalence, we can systematically construct a fault-tolerant HQC scheme, which can geometrically implement a universal set of encoded quantum gates by adiabatically deforming the system Hamiltonian. During this process, quantum information is protected from low weight thermal excitations by an energy gap that does not change with the problem size.
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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- We show an equivalence relation between fault-tolerant circuits for a stabilizer code and fault-tolerant adiabatic processes for holonomic quantum computation (HQC), in the...
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