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

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

UR - http://www.scopus.com/inward/record.url?scp=85102415803&partnerID=8YFLogxK

U2 - 10.1002/qute.202000063

DO - 10.1002/qute.202000063

M3 - Journal article

SN - 2511-9044

VL - 3

JO - Advanced Quantum Technologies

JF - Advanced Quantum Technologies

IS - 12

M1 - 2000063

ER -