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Comparative Analysis of Quantum State Estimation Algorithm Based on Compressive Sensing |
CONG Shuang1 , ZHANG Hui1, LI Kezhi2 |
1.Department of Automation, University of Science and Technology of China, Hefei 230027 2.Magnetic Resonance Research Center, University of Cambridge, Cambridge, CB2 3RA, UK |
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Abstract The alternating direction method of multipliers (ADMM) is used to estimate quantum density matrix with 6 qubits based on the completed research on 5 qubits estimation. In addition, the comparison with least squares and Dantzig optimization method is studied under the situations with and without external interference. The optimization schemes are implemented in Matlab environment to realize the fast estimation of quantum pure state. The experimental results show that ADMM is superior to two other algorithms in estimation accuracy and resistance to external disturbances.
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Received: 23 July 2014
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