Deterministic generations of quantum state with no more than six qubits

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• 作者：Ming-Xing Luo (1) (2) (3)
  Song-Ya Ma (4)
  Yun Deng (5)
  Xiaojun Wang (6)
  
  1. Information Security and National Computing Grid Laboratory ; Southwest Jiaotong University ; Chengdu ; 610031 ; China
  2. State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) ; Beijing ; 100876 ; China
  3. State Key Laboratory of Information Security ; Institute of Information Engineering ; Chinese Academy of Sciences ; Beijing ; 100093 ; China
  4. School of Mathematics and Statistics ; Henan University ; Kaifeng ; 475004 ; China
  5. Institute of Computer Science ; Sichuan University of Science Engineering ; Zigong ; 64300 ; China
  6. School of Electronic Engineering ; Dublin City University ; Dublin 9 ; Ireland
  
• 关键词：Quantum state ; Quantum generation circuit ; Cartan KAK decomposition
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：14
• 期：3
• 页码：901-920
• 全文大小：505 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Mathematics
  Engineering, general
  Computer Science, general
  Characterization and Evaluation Materials
  
• 出版者：Springer Netherlands
• ISSN：1573-1332

文摘

The ability to prepare arbitrary quantum state is the holy grail of quantum information technology. Previous schemes focus on circuit complexity using implicit decomposition schemes for global evolutions and are difficult in quantum experiments because the generation circuit can be completed for given coefficients each time. One protocol is firstly proposed in this paper in order to deterministically generate arbitrary four-qubit states with any coefficients. In order to complete this scheme with present physical techniques, we present an explicit quantum circuit with unknown coefficients of prepared states using elementary quantum gates. The key of our scheme is constructing the Cartan KAK decomposition of special transformations in \(SO(4)\) and \(SO(8)\) . And then, this protocol is extended to arbitrary five-qubit states and six-qubit states.