Measurement-based quantum computation on two-body interacting qubits with adiabatic evolution.
A cluster state cannot be a unique ground state of a two-body interacting Hamiltonian. Here, we propose the creation of a cluster state of logical qubits encoded in spin-1/2 particles by adiabatically weakening two-body interactions. The proposal is valid for any spatial dimensional cluster states. Errors induced by thermal fluctuations and adiabatic evolution within finite time can be eliminated ensuring fault-tolerant quantum computing schemes.
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore.
Thi Ha
TH
Kyaw
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore and Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, United Kingdom.
Ying
Y
Li
Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore and Institute of Advanced Studies, Nanyang Technological University, 60 Nanyang View, Singapore 639673, Singapore and National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore.
Leong-Chuan
LC
Kwek