Measurement-based quantum computation with an optical two-dimensional Affleck-Kennedy-Lieb-Tasaki state

Liu, Kai, Li, Wen-Dong and Gu, Yong-Jian (2014) Measurement-based quantum computation with an optical two-dimensional Affleck-Kennedy-Lieb-Tasaki state. Journal of the Optical Society of America B: Optical Physics, 31 11: 2689-2695. doi:10.1364/JOSAB.31.002689


Author Liu, Kai
Li, Wen-Dong
Gu, Yong-Jian
Title Measurement-based quantum computation with an optical two-dimensional Affleck-Kennedy-Lieb-Tasaki state
Journal name Journal of the Optical Society of America B: Optical Physics   Check publisher's open access policy
ISSN 0740-3224
1520-8540
Publication date 2014-11-01
Year available 2014
Sub-type Article (original research)
DOI 10.1364/JOSAB.31.002689
Open Access Status
Volume 31
Issue 11
Start page 2689
End page 2695
Total pages 7
Place of publication Washington, DC United States
Publisher Optical Society of American
Collection year 2015
Language eng
Formatted abstract
Measurement-based quantum computation can achieve universal quantum computation via simply performing single-qubit measurements alone on an entangled resource state. Instead of the canonical resource state–cluster state, we pay great attention to another resource state, the Affleck–Kennedy–Lieb–Tasaki (AKLT) state, which is a nondegenerate ground state of a nearest-neighbor two-body interaction Hamiltonian. We propose an optical scheme to generate a two-dimensional AKLT state defined on the honeycomb lattice. In our proposal, three photons from different singlet states are projected onto a spin-3/2 particle comprising the AKLT state with maximum success probability 3/8. We also show the controlled-NOT gate can be implemented on this photonic AKLT state via projective measurement using linear optics and photodetection.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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