Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/16456
Title: 
Quantum computational universality of the Cai-Miyake-D¨ur-Briegel two-dimensional quantum state from Affleck-Kennedy-Lieb-Tasaki quasichains
Authors: 
Issue Date: 
2011
Citation: 
Wei, T. -C., Raussendorf, R., & Kwek, L. C. (2011). Quantum computational universality of the Cai-Miyake-D¨ur-Briegel two-dimensional quantum state from Affleck-Kennedy-Lieb-Tasaki quasichains. Physical Review A, 84(4), 042333.
Abstract: 
Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly
entangled resource state, such as cluster states. Cai, Miyake, D¨ur, and Briegel recently constructed a ground
state of a two-dimensional quantum magnet by combining multiple Affleck-Kennedy-Lieb-Tasaki quasichains
of mixed spin-3/2 and spin-1/2 entities and by mapping pairs of neighboring spin-1/2 particles to individual
spin-3/2 particles [Phys. Rev. A 82, 052309 (2010)]. They showed that this state enables universal quantum
computation by single-spin measurements. Here, we give an alternative understanding of how this state gives rise to universal measurement-based quantum computation: by local operations, each quasichain can be converted to a one-dimensional cluster state and entangling gates between two neighboring logical qubits can be implemented by single-spin measurements. We further argue that a two-dimensional cluster state can be distilled from the Cai-Miyake-D¨ur-Briegel state.
URI: 
ISSN: 
1050-2947 (print)
1094-1622 (online)
Other Identifiers: 
10.1103/PhysRevA.84.042333
Website: 
Appears in Collections:Journal Articles

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