Topologically protected measurement-based quantum computation on the thermal state of a nearest-neighbor two-body Hamiltonian with spin-3/2 particles

摘要

Recently, Li et al. [Phys. Rev. Lett. 107, 060501 (2011)] have demonstrated that topologically protectednmeasurement-based quantum computation can be implemented on the thermal state of a nearest-neighbor twobodynHamiltonian with spin-2 and spin-3/2 particles provided that the temperature is smaller than a critical value,nnamely, threshold temperature. Here we show that the thermal state of a nearest-neighbor two-body Hamiltonian,nwhich consists of only spin-3/2 particles, allows us to perform topologically protected measurement-basednquantum computation. The threshold temperature is calculated and turns out to be comparable to that with thenspin-2 and spin-3/2 system. Furthermore, we generally show that a cluster state of high connectivity can benefficiently generated from the thermal state of the spin-3/2 system without severe thermal noise accumulation.