Efficient universal quantum computation with auxiliary Hilbert space

Li, Wen-Dong, Gu, Yong-Jian, Liu, Kai, Lee, Yuan-Harng and Zhang, Yao-Zhong (2013) Efficient universal quantum computation with auxiliary Hilbert space. Physical Review A (Atomic, Molecular and Optical Physics), 88 3: 034303.1-034303.4. doi:10.1103/PhysRevA.88.034303

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Author Li, Wen-Dong
Gu, Yong-Jian
Liu, Kai
Lee, Yuan-Harng
Zhang, Yao-Zhong
Title Efficient universal quantum computation with auxiliary Hilbert space
Journal name Physical Review A (Atomic, Molecular and Optical Physics)   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2013-09
Year available 2013
Sub-type Article (original research)
DOI 10.1103/PhysRevA.88.034303
Open Access Status File (Publisher version)
Volume 88
Issue 3
Start page 034303.1
End page 034303.4
Total pages 4
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2014
Language eng
Formatted abstract
We propose a scheme to construct the efficient universal quantum circuit for qubit systems with the assistance of possibly available auxiliary Hilbert spaces. An elementary two-ququart gate, termed the controlled-double-not gate, is proposed first in ququart (four-level) systems, and its physical implementation is illustrated in the four-dimensional Hilbert spaces built by the path and polarization states of photons. Then an efficient universal quantum circuit for ququart systems is constructed using the gate and the quantum Shannon decomposition method. By introducing auxiliary two-dimensional Hilbert spaces, the universal quantum circuit for qubit systems is finally achieved using the result obtained in ququart systems with the lowest complexity.
Keyword Logic-Circuits
Decomposition
Gate
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 2014 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
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Created: Sun, 20 Oct 2013, 00:10:22 EST by System User on behalf of School of Mathematics & Physics