Miller Jacob, Miyake Akimasa
Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev Lett. 2015 Mar 27;114(12):120506. doi: 10.1103/PhysRevLett.114.120506. Epub 2015 Mar 26.
We investigate entanglement naturally present in the 1D topologically ordered phase protected with the on-site symmetry group of an octahedron as a potential resource for teleportation-based quantum computation. We show that, as long as certain characteristic lengths are finite, all its ground states have the capability to implement any unit-fidelity one-qubit gate operation asymptotically as a key computational building block. This feature is intrinsic to the entire phase, in that perfect gate fidelity coincides with perfect string order parameters under a state-insensitive renormalization procedure. Our approach may pave the way toward a novel program to classify quantum many-body systems based on their operational use for quantum information processing.
我们研究了在由八面体的局域对称群保护的一维拓扑有序相中自然存在的纠缠，将其作为基于量子隐形传态的量子计算的潜在资源。我们表明，只要某些特征长度是有限的，其所有基态都有能力渐近地实现任何单位保真度的单比特门操作，作为关键的计算构建块。这一特性是整个相固有的，因为在状态不敏感的重整化过程下，完美的门保真度与完美的弦序参量相一致。我们的方法可能为基于量子多体系统在量子信息处理中的操作应用来对其进行分类的新方案铺平道路。
