Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia.
Phys Rev Lett. 2012 Jun 15;108(24):240505. doi: 10.1103/PhysRevLett.108.240505.
Ground states of spin lattices can serve as a resource for measurement-based quantum computation. Ideally, the ability to perform quantum gates via measurements on such states would be insensitive to small variations in the Hamiltonian. Here, we describe a class of symmetry-protected topological orders in one-dimensional systems, any one of which ensures the perfect operation of the identity gate. As a result, measurement-based quantum gates can be a robust property of an entire phase in a quantum spin lattice, when protected by an appropriate symmetry.
自旋晶格的基态可以作为基于测量的量子计算的资源。理想情况下，通过对这些状态进行测量来执行量子门的能力应该对哈密顿量的微小变化不敏感。在这里，我们描述了一维系统中一类具有对称性保护的拓扑序，其中任何一种都能确保单位门的完美操作。因此，当受到适当对称性的保护时，基于测量的量子门可以成为量子自旋晶格中整个相的稳健特性。
