Related papers: Detailed Account of Complexity for Implementation of Some Gate-Based Quantum Algorithms

Detailed Account of Complexity for Implementation of Some Gate-Based Quantum Algorithms

URL: http://arxiv.org/abs/2106.12517v2
Date: Tue, 29 Jun 2021 17:16:20 GMT
Title: Detailed Account of Complexity for Implementation of Some Gate-Based Quantum Algorithms
Authors: Fernando R. Cardoso, Daniel Yoshio Akamatsu, Vivaldo Leiria Campo Junior, Eduardo I. Duzzioni, Alfredo Jaramillo Palma and Celso J. Villas-Boas
Abstract summary: In particular, some steps of the implementation, as state preparation and readout processes, can surpass the complexity aspects of the algorithm itself. We present the complexity involved in the full implementation of quantum algorithms for solving linear systems of equations and linear system of differential equations.
Score: 55.41644538483948
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this work, we are interested in the detailed analysis of complexity aspects of both time and space that arises from the implementation of a quantum algorithm on a quantum based hardware. In particular, some steps of the implementation, as state preparation and readout processes, in most of the cases can surpass the complexity aspects of the algorithm itself. We present the complexity involved in the full implementation of quantum algorithms for solving linear systems of equations and linear system of differential equations, from state preparation to the number of measurements needed to obtain good statistics from the final states of the quantum system, in order to assess the overall complexity of the processes.

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