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: Wei, Tzu-Chieh
Raussendorf, Robert
Kwek, Leong Chuan
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: http://hdl.handle.net/10497/16456
ISSN: 1050-2947 (print)
1094-1622 (online)
Other Identifiers: 10.1103/PhysRevA.84.042333
Website: http://dx.doi.org/10.1103/PhysRevA.84.042333
Appears in Collections:Journal Articles

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