Reordering and Partitioning of Distributed Quantum Circuits

A new approach to reduce the teleportation cost and execution time in Distributed Quantum Circuits (DQCs) was proposed in the present paper. DQCs, a well-known solution, have been applied to solve the problem of maintaining a large number of qubits next to each other. In the distributed quantum syst...

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Main Authors: Davood Dadkhah, Mariam Zomorodi, Seyed Ebrahim Hosseini, Pawel Plawiak, Xujuan Zhou
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9807294/
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author Davood Dadkhah
Mariam Zomorodi
Seyed Ebrahim Hosseini
Pawel Plawiak
Xujuan Zhou
author_facet Davood Dadkhah
Mariam Zomorodi
Seyed Ebrahim Hosseini
Pawel Plawiak
Xujuan Zhou
author_sort Davood Dadkhah
collection DOAJ
description A new approach to reduce the teleportation cost and execution time in Distributed Quantum Circuits (DQCs) was proposed in the present paper. DQCs, a well-known solution, have been applied to solve the problem of maintaining a large number of qubits next to each other. In the distributed quantum system, the qubits are transferred to another subsystem by a quantum protocol like teleportation. Hence, a novel method was proposed to optimize the number of teleportation and to reduce the execution time for generating DQC. To this end, first, the quantum circuit was reordered according to the qubits placement to improve the computational execution time, and then the quantum circuit was modeled as a graph. Finally, we combined the genetic algorithm (GA) and the modified tabu search algorithm (MTS) to partition the graph model in order to obtain a distributed quantum circuit aimed at reducing the number of teleportation costs. A significant reduction in teleportation cost (TC) and execution time (ET) was obtained in benchmark circuits. In particular, we performed a more accurate optimization than the previous approaches, and the proposed approach yielded the best results for several benchmark circuits.
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spelling doaj.art-5d6e8113f4db489ba18f02c1fa33e6dc2022-12-22T00:57:31ZengIEEEIEEE Access2169-35362022-01-0110703297034110.1109/ACCESS.2022.31864859807294Reordering and Partitioning of Distributed Quantum CircuitsDavood Dadkhah0https://orcid.org/0000-0001-6771-9288Mariam Zomorodi1https://orcid.org/0000-0002-1308-3453Seyed Ebrahim Hosseini2Pawel Plawiak3https://orcid.org/0000-0002-4317-2801Xujuan Zhou4https://orcid.org/0000-0002-1736-739XDepartment of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Computer Engineering, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Computer Science, Faculty of Computer Science and Telecommunications, Cracow University of Technology, Krakow, PolandSchool of Business, University of Southern Queensland, Springfield Campus, Springfield, QLD, AustraliaA new approach to reduce the teleportation cost and execution time in Distributed Quantum Circuits (DQCs) was proposed in the present paper. DQCs, a well-known solution, have been applied to solve the problem of maintaining a large number of qubits next to each other. In the distributed quantum system, the qubits are transferred to another subsystem by a quantum protocol like teleportation. Hence, a novel method was proposed to optimize the number of teleportation and to reduce the execution time for generating DQC. To this end, first, the quantum circuit was reordered according to the qubits placement to improve the computational execution time, and then the quantum circuit was modeled as a graph. Finally, we combined the genetic algorithm (GA) and the modified tabu search algorithm (MTS) to partition the graph model in order to obtain a distributed quantum circuit aimed at reducing the number of teleportation costs. A significant reduction in teleportation cost (TC) and execution time (ET) was obtained in benchmark circuits. In particular, we performed a more accurate optimization than the previous approaches, and the proposed approach yielded the best results for several benchmark circuits.https://ieeexplore.ieee.org/document/9807294/Quantum computingdistributed quantum circuitoptimizationgenetic algorithmteleportation
spellingShingle Davood Dadkhah
Mariam Zomorodi
Seyed Ebrahim Hosseini
Pawel Plawiak
Xujuan Zhou
Reordering and Partitioning of Distributed Quantum Circuits
IEEE Access
Quantum computing
distributed quantum circuit
optimization
genetic algorithm
teleportation
title Reordering and Partitioning of Distributed Quantum Circuits
title_full Reordering and Partitioning of Distributed Quantum Circuits
title_fullStr Reordering and Partitioning of Distributed Quantum Circuits
title_full_unstemmed Reordering and Partitioning of Distributed Quantum Circuits
title_short Reordering and Partitioning of Distributed Quantum Circuits
title_sort reordering and partitioning of distributed quantum circuits
topic Quantum computing
distributed quantum circuit
optimization
genetic algorithm
teleportation
url https://ieeexplore.ieee.org/document/9807294/
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AT xujuanzhou reorderingandpartitioningofdistributedquantumcircuits