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

Stig Elkjær Rasmussen*, Niels Jakob Søe Loft, Thomas Bækkegaard, Michael Kues, Nikolaj Thomas Zinner*

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

13 Citations (Scopus)

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.

Original languageEnglish
Article number2000063
JournalAdvanced Quantum Technologies
Volume3
Issue12
Number of pages11
ISSN2511-9044
DOIs
Publication statusPublished - Dec 2020

Keywords

  • GATES
  • QUANTUM
  • quantum algorithms
  • quantum circuits
  • quantum computation
  • quantum gates

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