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Compressed Sensing Quantum State Tomography Assisted by Adaptive Design |
| Qi Yin1,2, Guo-Yong Xiang1,2**, Chuan-Feng Li1,2, Guang-Can Guo1,2 |
1Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei 230026
2Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Chinese Academy of Sciences, Hefei 230026
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| Cite this article: |
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Qi Yin, Guo-Yong Xiang, Chuan-Feng Li et al 2018 Chin. Phys. Lett. 35 070302 |
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Abstract The recently proposed compressed sensing (CS) method sheds light on quantum state tomography of multi-qubit systems with low rank, which greatly reduces the complexity of measurement and computation. However, the restricted isometry property requirement of CS is difficult to be promised or verified in practice, which makes this method probably assign unreasonable results. In regard to this problem, we adopt a two-step procedure and implement an adaptive strategy to update measurement operators based on the measurement results of the first step for CS, which not only serves as a way to verify the estimate but also improves the accuracy of tomography. Our numerical simulations manifest that our adaptive protocol can reduce about half of the infidelity of non-adaptive protocol and is still efficient even when the rank of the state is slightly high, which would greatly benefit multi-qubit state tomography in future experiments.
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Received: 12 February 2018
Published: 24 June 2018
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| PACS: |
03.67.-a
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(Quantum information)
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03.65.Wj
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(State reconstruction, quantum tomography)
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42.50.Dv
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(Quantum state engineering and measurements)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 61222504, 11574291 and 11774334. |
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