quantum method
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Author(s):  
Fan-Xu Meng ◽  
Ze-Tong Li ◽  
Xutao Yu ◽  
Zaichen Zhang

Abstract The multiple signal classification (MUSIC) algorithm is a well-established method to evaluate the direction of arrival (DOA) of signals. However, the construction and eigen-decomposition of the sample covariance matrix (SCM) are computationally costly for MUSIC in hybrid multiple input multiple output (MIMO) systems, which limits the application and advancement of the algorithm. In this paper, we present a novel quantum method for MUSIC in hybrid MIMO systems. Our scheme makes the following three contributions. First, the quantum subroutine for constructing the approximate SCM is designed, along with the quantum circuit for the steering vector and a proposal for quantum singular vector transformation. Second, the variational density matrix eigensolver is proposed to determine the signal and noise subspaces utilizing the destructive swap test. As a proof of principle, we conduct two numerical experiments using a quantum simulator. Finally, the quantum labelling procedure is explored to determine the DOA. The proposed quantum method can potentially achieve exponential speedup on certain parameters and polynomial speedup on others under specific moderate circumstances, compared with their classical counterparts.


2021 ◽  
Author(s):  
Christopher D. Phillips ◽  
Vladimir I. Okhmatovski

2021 ◽  
Vol 154 (5) ◽  
pp. 054310
Author(s):  
Tomás González-Lezana ◽  
Pierre Hily-Blant ◽  
Alexandre Faure

Author(s):  
María Pilar de Lara-Castells ◽  
Alexander O. Mitrushchenkov

A new nuclear spin and spatial symmetry-adapted full quantum method for light fermionic and bosonic particles under cylindrical carbon nanotube confinement.


2020 ◽  
Author(s):  
Maurício Gustavo Rodrigues ◽  
Leonardo Talavera Campos ◽  
Gabriel Soares Campos

Choosing the best quantum method and basis function is sometimes difficult. It is necessary to take into account the computational costs in the same time of accuracy of the combination of quantum method and basis function. DFT methods and Pople basis set are the most common choices on molecular quantum calculation. This study makes a benchmark of DFT methods and different combinations of Pople basis sets on H2S and SO2 molecules. This choice aims decide this combination to explain better the formation on acid rain in environment, specially to high school Brazilian students. After the analysis of the better combinations of DFT method and Pople basis set, some IRC and TS calculations are going to be done to understand better inorganic reaction with sulfur.


2020 ◽  
Author(s):  
wang

In this paper, using the generalized geometric commutator and geomutatorto develop the geometric anticommutator and anti-geomutator, then we strictly prove geometric Cauchy-Schwarz inequality in quantum method as a generalization of the Cauchy-Schwarz inequality based on the Hermitian operator. It certainly demonstrates a fact that environment variable is unavoidable for the revision of the Cauchy-Schwarz inequality for the quantum mechanics.


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