Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
Abstract
Optimal measurement is required to obtain the quantum and classical correlations of a quantum state, and the crucial difficulty is how to acquire the maximal information about one system by measuring the other part; in other words, getting the maximum information corresponds to preparing the best measurement operators. Within a general setup, we designed a variational hybrid quantum-classical (VHQC) algorithm to achieve classical and quantum correlations for system states under the Noisy-Intermediate Scale Quantum (NISQ) technology. To employ, first, we map the density matrix to the vector representation, which displays it in a doubled Hilbert space, and it's converted to a pure state. Then we apply the measurement operators to a part of the subsystem and use variational principle and a classical optimization for the determination of the amount of correlation. We numerically test the performance of our algorithm at finding a correlation of some density matrices, and the output of our algorithm is compatible with the exact calculation.
Cite
@article{arxiv.2111.09000,
title = {Toward a quantum computing algorithm to quantify classical and quantum correlation of system states},
author = {M. Mahdian and H. Davoodi Yeganeh},
journal= {arXiv preprint arXiv:2111.09000},
year = {2021}
}