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arXiv · 2111.09000

Toward a quantum computing algorithm to quantify classical and quantum correlation of system states

M. Mahdian·H. Davoodi Yeganeh
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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.

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M. Mahdian, H. Davoodi Yeganeh. 2021-11-17. Toward a quantum computing algorithm to quantify classical and quantum correlation of system states. https://doi.org/10.1007/s11128-021-03331-6

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