Bidirectional Information Flow Quantum State Tomography
Huikang Huang1, Haozhen Situ1*, and Shenggen Zheng2*
1College of Mathematics and Informatics, South China Agricultural University, Guangzhou 510642, China 2Circuits and Systems Research Center, Peng Cheng Laboratory, Shenzhen 518055, China
Abstract:The exact reconstruction of many-body quantum systems is one of the major challenges in modern physics, because it is impractical to overcome the exponential complexity problem brought by high-dimensional quantum many-body systems. Recently, machine learning techniques are well used to promote quantum information research and quantum state tomography has also been developed by neural network generative models. We propose a quantum state tomography method, which is based on a bidirectional gated recurrent unit neural network, to learn and reconstruct both easy quantum states and hard quantum states in this study. We are able to use fewer measurement samples in our method to reconstruct these quantum states and to obtain high fidelity.
Häffner H, Hänsel W, Roos C F, Benhelm J, Chek-al K D, Chwalla M, Körber T, Rapol U D, Riebe M, Schmidt P O, Becher C, Gühne O, Dür W and Blatt R 2005 Nature438 643
Yao T S, Tang C Y, Yang M, Zhu K J, Yan D Y, Yi C J, Feng Z L, Lei H C, Li C H, Wang L, Wang L, Shi Y G, Sun Y J and Ding H 2019 Chin. Phys. Lett.36 068101
[16]
Torlai G, Mazzola G, Carrasquilla J, Troyer M, Melko R and Carleo G 2018 Nat. Phys.14 447
Sutskever I, Vinyals O and Le Q V 2014 Proceedings of the 27th International Conference on Neural Information Processing Systems (NIPS'14) (Cambridge, MA: MIT Press) vol 2 p 3104
[24]
Wu Y, Schuster M, Chen Z, Le Q, Macherey W, Krikun M, Cao Y, Gao Q, Macherey K, Klingner J, Shah A, Johnson M, Liu X, Kaiser U, Gouws S, Kato Y, Kudo T, Kazawa H and Dean J 2016 arXiv:1609.08144v2 [cs.CL]