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Title: Transitions in the quantum computational power
Authors: Wei, T.-C.
Li, Y.
Kwek, L.C. 
Issue Date: 13-May-2014
Citation: Wei, T.-C., Li, Y., Kwek, L.C. (2014-05-13). Transitions in the quantum computational power. Physical Review A - Atomic, Molecular, and Optical Physics 89 (5) : -. ScholarBank@NUS Repository.
Abstract: We construct two spin models on lattices (both two and three dimensional) to study the capability of quantum computational power as a function of temperature and the system parameter. There exists a finite region in the phase diagram such that the thermal equilibrium states are capable of providing a universal fault-tolerant resource for measurement-based quantum computation. Moreover, in such a region the thermal resource states on the three-dimensional lattices can enable topological protection for quantum computation. The two models behave similarly in terms of quantum computational power. However, they have different properties in terms of the usual phase transitions. The first model has a first-order phase transition only at zero temperature whereas there is no transition at all in the second model. Interestingly, the transition in the quantum computational power does not coincide with the phase transition in the first model. © 2014 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
ISSN: 10941622
DOI: 10.1103/PhysRevA.89.052315
Appears in Collections:Staff Publications

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