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Reducing the amount of single-qubit rotations in VQE and related algorithms

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Standard

Reducing the amount of single-qubit rotations in VQE and related algorithms. / Rasmussen, Stig Elkjær; Loft, Niels Jakob Søe; Bækkegaard, Thomas; Kues, Michael; Zinner, Nikolaj Thomas.

I: Advanced Quantum Technologies, Bind 3, Nr. 12, 2000063, 12.2020.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

Harvard

Rasmussen, SE, Loft, NJS, Bækkegaard, T, Kues, M & Zinner, NT 2020, 'Reducing the amount of single-qubit rotations in VQE and related algorithms', Advanced Quantum Technologies, bind 3, nr. 12, 2000063. https://doi.org/10.1002/qute.202000063

APA

Rasmussen, S. E., Loft, N. J. S., Bækkegaard, T., Kues, M., & Zinner, N. T. (2020). Reducing the amount of single-qubit rotations in VQE and related algorithms. Advanced Quantum Technologies, 3(12), [2000063]. https://doi.org/10.1002/qute.202000063

CBE

Rasmussen SE, Loft NJS, Bækkegaard T, Kues M, Zinner NT. 2020. Reducing the amount of single-qubit rotations in VQE and related algorithms. Advanced Quantum Technologies. 3(12):Article 2000063. https://doi.org/10.1002/qute.202000063

MLA

Vancouver

Rasmussen SE, Loft NJS, Bækkegaard T, Kues M, Zinner NT. Reducing the amount of single-qubit rotations in VQE and related algorithms. Advanced Quantum Technologies. 2020 dec;3(12). 2000063. https://doi.org/10.1002/qute.202000063

Author

Rasmussen, Stig Elkjær ; Loft, Niels Jakob Søe ; Bækkegaard, Thomas ; Kues, Michael ; Zinner, Nikolaj Thomas. / Reducing the amount of single-qubit rotations in VQE and related algorithms. I: Advanced Quantum Technologies. 2020 ; Bind 3, Nr. 12.

Bibtex

@article{7098413c3b9d41df90e789f8e2ca063b,
title = "Reducing the amount of single-qubit rotations in VQE and related algorithms",
abstract = "With the advent of hybrid quantum classical algorithms using parameterized quantum circuits, the question of how to optimize these algorithms and circuits emerges. In this paper, it is shown that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. It is also shown that the performance of a variational quantum eigensolver (VQE) is unaffected by a similar decrease in single-qubit rotations. Relative expressibility and entangling capability are compared across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore, quantum frequency comb photonics is considered as a platform for such algorithms and it is shown that a relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits can be obtained.",
keywords = "GATES, QUANTUM, quantum algorithms, quantum circuits, quantum computation, quantum gates",
author = "Rasmussen, {Stig Elkj{\ae}r} and Loft, {Niels Jakob S{\o}e} and Thomas B{\ae}kkegaard and Michael Kues and Zinner, {Nikolaj Thomas}",
year = "2020",
month = dec,
doi = "10.1002/qute.202000063",
language = "English",
volume = "3",
journal = "Advanced Quantum Technologies",
issn = "2511-9044",
publisher = "Wiley Online Library ",
number = "12",

}

RIS

TY - JOUR

T1 - Reducing the amount of single-qubit rotations in VQE and related algorithms

AU - Rasmussen, Stig Elkjær

AU - Loft, Niels Jakob Søe

AU - Bækkegaard, Thomas

AU - Kues, Michael

AU - Zinner, Nikolaj Thomas

PY - 2020/12

Y1 - 2020/12

N2 - With the advent of hybrid quantum classical algorithms using parameterized quantum circuits, the question of how to optimize these algorithms and circuits emerges. In this paper, it is shown that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. It is also shown that the performance of a variational quantum eigensolver (VQE) is unaffected by a similar decrease in single-qubit rotations. Relative expressibility and entangling capability are compared across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore, quantum frequency comb photonics is considered as a platform for such algorithms and it is shown that a relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits can be obtained.

AB - With the advent of hybrid quantum classical algorithms using parameterized quantum circuits, the question of how to optimize these algorithms and circuits emerges. In this paper, it is shown that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. It is also shown that the performance of a variational quantum eigensolver (VQE) is unaffected by a similar decrease in single-qubit rotations. Relative expressibility and entangling capability are compared across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore, quantum frequency comb photonics is considered as a platform for such algorithms and it is shown that a relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits can be obtained.

KW - GATES

KW - QUANTUM

KW - quantum algorithms

KW - quantum circuits

KW - quantum computation

KW - quantum gates

U2 - 10.1002/qute.202000063

DO - 10.1002/qute.202000063

M3 - Journal article

VL - 3

JO - Advanced Quantum Technologies

JF - Advanced Quantum Technologies

SN - 2511-9044

IS - 12

M1 - 2000063

ER -