Fault-tolerant scheme of holonomic quantum computation on stabilizer codes with robustness to low-weight thermal noise

作者：Zheng Yi Cong^*; Brun Todd A

来源：Physical Review A, 2014, 89(3): 032317.

DOI：10.1103/PhysRevA.89.032317

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 degenerate 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.

• 出版日期2014-3-12