Skip to content
codes for FP_ADMM algorithm to reconstruct the density matrix by numerical simulaiton
MATLAB
Branch: master
Clone or download
Fetching latest commit…
Cannot retrieve the latest commit at this time.
Permalink
Type Name Latest commit message Commit time
Failed to load latest commit information.
1main_QST_fixedpoint.m
2generate_rho_outlier.m
3generate_AA_pauli.m
4generate_A_y.m
5Robust_Quantum_fixedpoint.m
6project2Hermitian_singular_shrink.m
7generate_AA_stockes.m
8generate_AA_platonic.m
9Robust_Quantum_ADMM3.m
README.md
ReadMe.txt

README.md

Quantum_FixedPoint

codes for FP_ADMM algorithm to reconstruct the density matrix by numerical simulaiton

Please refer to paper "A reconstruction algorithm for compressive quantum tomography using various measurement sets", Kai Zheng, Kezhi Li, and Shuang Cong. in Scientific Reports 6, Article number: 38497 (2016) doi:10.1038/srep38497

This folder include 6 .m files :

1 main_QST_fixedpoint this is the main program.The fuction of this program is using the FP_ADMM algorithm to reconstruct the density matrix by numerical simulaiton in incremental measurement rates .

2 generate_rho_outlier this fuction is used to generate the numerical density matrix of rank R and the outlier. when do the simulation without outlier, set kk and tt in main_QST_fixedpoint to 0. then outlier = 0.

3 generate_AA_pauli this fuction is used to generate the complete Pauli measuement set. the measurement matrix is a subset of AA. When do the simulation by different measurement sets, please change this function to 7 generate_AA_stokes or 8 generate_AA_platonic

4 generate_A_y this function is used to generate A and y from AA according the measurment rate eta. It's a simulatoin of the process of measurement.

5 Robust_Quamtum_fixpoint this is the funtion of reconstructe the density matrix by FP_ADMM algorithm. X_hat is the reconstructed matrix, S is the reconstructed outlier. If the simulation without outlier, set it to zero. When do the simulation by different algorithm, please change this function to 9 Robust_Quantum_ADMM3

6 project2Hermitian_singular_shrink this function is used to project the matrix rho1 to a low rank and Conjugate symmetric matrix rho2. This function is called by Robust_Quantum_fixpoint.

7 generate_AA_stokes this fuction is used to generate the complete Stokes measuement set.

8 generate_AA_platonic this fuction is used to generate the complete platonic solid measuement set.

9 Robust_Quantum_ADMM3 this is the funtion of reconstructe the density matrix by ADMM algorithm.

You can’t perform that action at this time.