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Efficient factored gradient descent algorithm for quantum state tomography

delete2024-07-08
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OA
AI
Y
Yong Wang
刘
刘力军 (Lijun Liu) *
S
Shuming Cheng
李
李莉 (Li Li)
陈
陈杰 (Jie Chen)
DOI:10.1103/PhysRevResearch.6.033034delete
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Abstract

Abstract

En 中文
Reconstructing the state of quantum many-body systems is of fundamental importance in quantum information tasks, but extremely challenging due to the curse of dimensionality. In this work, we present an efficient quantum tomography protocol that combines the state-factored with eigenvalue mapping to address the rank-deficient issue and incorporates a momentum-accelerated gradient descent algorithm to speed up the optimization process. We implement extensive numerical experiments to demonstrate that our factored gradient descent algorithm efficiently mitigates the rank-deficient problem and admits orders of magnitude better tomography accuracy and faster convergence. We also find that our method can accomplish the full-state tomography of random 11-qubit mixed states within one minute.

Journal

Physical Review Research cover
Physical Review Research
IF:
4.2
Papers:
7.6K
Citations:
2.7W

Organization

S
Shanxi Normal University
Scholars:
3.8K
Papers: 2.4K
Citations: 2.6K
T
tongji university
Scholars:
7.9W
Papers: 6.0W
Citations: 98
Cited Papers

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