A Quantum Algorithm for Solving the Travelling Salesman Problem by Quantum Phase Estimation and Quantum Search

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A Quantum Algorithm for Solving the Travelling Salesman Problem by Quantum Phase Estimation and Quantum Search. / Tszyunsi, Ch; Beterov, I. I.

In: Journal of Experimental and Theoretical Physics, Vol. 137, No. 2, 08.2023, p. 210-215.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6db129069a084b7a89b5f568ee3bb268,

title = "A Quantum Algorithm for Solving the Travelling Salesman Problem by Quantum Phase Estimation and Quantum Search",

abstract = "A quantum algorithm for solving the traveling salesman problem by the quantum phase estimation and quantum search method is considered. An approach is developed that was previously proposed for solving this problem. A quantum register is used to encode the eigenstates of a unitary operator whose phase determines the length of each possible route. The quantum phase estimation algorithm is used to estimate the length of a route. Then, to find the minimum route length, the measured values of length are encoded into the states of the second quantum register, and the search for the optimal route is carried out using a modified Grover algorithm. Numerical simulation of the proposed quantum algorithm is carried out using the Qiskit library for one and two iterations of the modified Grover algorithm.",

author = "Ch Tszyunsi and Beterov, {I. I.}",

note = "The work was supported by the Russian Science Foundation (project no. 23-42-00031, https://rscf.ru/project/23-42-00031 ). Публикация для корректировки.",

year = "2023",

month = aug,

doi = "10.1134/S1063776123080095",

language = "English",

volume = "137",

pages = "210--215",

journal = "Journal of Experimental and Theoretical Physics",

issn = "1063-7761",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "2",

}

RIS

TY - JOUR

T1 - A Quantum Algorithm for Solving the Travelling Salesman Problem by Quantum Phase Estimation and Quantum Search

AU - Tszyunsi, Ch

AU - Beterov, I. I.

N1 - The work was supported by the Russian Science Foundation (project no. 23-42-00031, https://rscf.ru/project/23-42-00031 ). Публикация для корректировки.

PY - 2023/8

Y1 - 2023/8

N2 - A quantum algorithm for solving the traveling salesman problem by the quantum phase estimation and quantum search method is considered. An approach is developed that was previously proposed for solving this problem. A quantum register is used to encode the eigenstates of a unitary operator whose phase determines the length of each possible route. The quantum phase estimation algorithm is used to estimate the length of a route. Then, to find the minimum route length, the measured values of length are encoded into the states of the second quantum register, and the search for the optimal route is carried out using a modified Grover algorithm. Numerical simulation of the proposed quantum algorithm is carried out using the Qiskit library for one and two iterations of the modified Grover algorithm.

AB - A quantum algorithm for solving the traveling salesman problem by the quantum phase estimation and quantum search method is considered. An approach is developed that was previously proposed for solving this problem. A quantum register is used to encode the eigenstates of a unitary operator whose phase determines the length of each possible route. The quantum phase estimation algorithm is used to estimate the length of a route. Then, to find the minimum route length, the measured values of length are encoded into the states of the second quantum register, and the search for the optimal route is carried out using a modified Grover algorithm. Numerical simulation of the proposed quantum algorithm is carried out using the Qiskit library for one and two iterations of the modified Grover algorithm.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85173585891&origin=inward&txGid=772f98ac969d33b1f9bc3c58d8da5be9

UR - https://www.mendeley.com/catalogue/9088350a-267c-3aab-aa69-8125357a27ab/

U2 - 10.1134/S1063776123080095

DO - 10.1134/S1063776123080095

M3 - Article

VL - 137

SP - 210

EP - 215

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

SN - 1063-7761

IS - 2

ER -

ID: 59555015