Efficient factored gradient descent algorithm for quantum state tomography
Yong Wang,
Lijun Liu,
Shuming Cheng
et al.
Abstract: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 factore… Show more
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