Realization of quantum gates with multiple control qubits or multiple target qubits in a cavity

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• 作者：Muhammad Waseem ; Muhammad Irfan ; Shahid Qamar
• 关键词：Multi ; qubit quantum gates ; Cavity QED ; Solid ; state qubit ; Superconducting quantum interference devices (SQUIDs) ; Superconducting resonator
• 刊名：Quantum Information Processing
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：14
• 期：6
• 页码：1869-1887
• 全文大小：923 KB
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• 作者单位：Muhammad Waseem (1) (2)
  Muhammad Irfan (1) (3)
  Shahid Qamar (1)
  
  1. Department of Physics and Applied Mathematics, Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad, 45650, Pakistan
  2. Institute for Laser Science, University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo, 182-8585, Japan
  3. Kavli Institute of Nanoscience, Delft University of Technology, P.O. Box 4056, 2600, GA Delft, The Netherlands
  
• 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

We propose a scheme to realize a three-qubit controlled phase gate and a multi-qubit controlled NOT gate of one qubit simultaneously controlling n-target qubits with a four-level quantum system in a cavity. The implementation time for multi-qubit controlled NOT gate is independent of the number of qubit. Three-qubit phase gate is generalized to n-qubit phase gate with multiple control qubits. The number of steps reduces linearly as compared to conventional gate decomposition method. Our scheme can be applied to various types of physical systems such as superconducting qubits coupled to a resonator and trapped atoms in a cavity. Our scheme does not require adjustment of level spacing during the gate implementation. We also show the implementation of Deutsch–Joza algorithm. Finally, we discuss the imperfections due to cavity decay and the possibility of physical implementation of our scheme.