Quantum state tomography from observable time traces in closed quantum systems
Shuixin Xiao1
Yuanlong Wang2
Qi Yu3
Jun Zhang4
Daoyi Dong5
Ian R.Petersen6
1.University of Michigan-Shanghai Jiao Tong University Joint Institute,Shanghai Jiao Tong University,Shanghai 200240,China;School of Engineering,The Australian National University,Canberra,ACT 2601,Australia2.Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China3.Centre for Quantum Computation and Communication Technology(Australian Research Council),Centre for Quantum Dynamics,Griffith University,Brisbane,QLD 4111,Australia4.University of Michigan-Shanghai Jiao Tong University Joint Institute,Shanghai Jiao Tong University,Shanghai 200240,China5.School of Engineering,The Australian National University,Canberra,ACT 2601,Australia;School of Engineering and Technology,University of New South Wales,Canberra,ACT 2600,Australia6.School of Engineering,The Australian National University,Canberra,ACT 2601,Australia
摘要：The task to estimate all the parameters of an unknown quantum state,also called quantum state tomography,is essential for characterizing and controlling quantum systems.In this paper,we utilize observable time traces to identify the initial quantum state of a closed quantum system,based on the state space approach in the control theory.In the informationally complete scenario,we show that with a linear regression estimation(LRE),the mean squared error(MSE)scales as O(1/N),where N is the resource number.In the informationally incomplete scenario,we introduce regularization LRE to perform the state tomography task.We employ PBH test to demonstrate that closed quantum systems with only one observable are informationally incomplete and propose using d-1 observables,where d is the dimension of the quantum state,for informational completeness.Numerical examples demonstrate the effectiveness of our method.
机标关键词：tomographyquantumsystemstracesstatetimefromclosed
论文发表日期：2024-05-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：13( 222-234 )
英文信息