Details
| Original language | English |
|---|---|
| Article number | 2000063 |
| Journal | Advanced Quantum Technologies |
| Volume | 3 |
| Issue number | 12 |
| Early online date | 27 Oct 2020 |
| Publication status | Published - 14 Dec 2020 |
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
- quantum algorithms, quantum circuits, quantum computation, quantum gates
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Mathematical Physics
- Engineering(all)
- Electrical and Electronic Engineering
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In: Advanced Quantum Technologies, Vol. 3, No. 12, 2000063, 14.12.2020.
Research output: Contribution to journal › Article › Research › peer review
}
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
N1 - Funding Information: This work is supported by the Danish Council for Independent Research and the Carlsberg Foundation. The numerical results presented in this work were obtained at the Centre for Scientific Computing, Aarhus (http://phys.au.dk/forskning/cscaa/). M.K. received support by the German Federal Ministry of Education and Research (Project PQuMAL).
PY - 2020/12/14
Y1 - 2020/12/14
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 - quantum algorithms
KW - quantum circuits
KW - quantum computation
KW - quantum gates
UR - http://www.scopus.com/inward/record.url?scp=85102415803&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2005.13548
DO - 10.48550/arXiv.2005.13548
M3 - Article
AN - SCOPUS:85102415803
VL - 3
JO - Advanced Quantum Technologies
JF - Advanced Quantum Technologies
SN - 2511-9044
IS - 12
M1 - 2000063
ER -