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Measurement-Based Variational Quantum Eigensolver.

R R Ferguson1, L Dellantonio1, A Al Balushi1

  • 1Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Waterloo N2L 3G1, Canada.

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|June 21, 2021
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Summary
This summary is machine-generated.

We introduce a novel measurement-based approach for variational quantum eigensolvers (VQE). This strategy enhances resource efficiency and coherence times for quantum computations.

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Area of Science:

  • Quantum Computing
  • Computational Chemistry
  • Quantum Algorithms

Background:

  • Variational quantum eigensolvers (VQE) are hybrid quantum-classical algorithms for finding molecular and material ground-state energies.
  • Current VQE implementations rely on gate-based quantum computation, which can be resource-intensive.

Purpose of the Study:

  • To propose and evaluate novel measurement-based quantum computation (MBQC) schemes for VQE.
  • To explore alternative VQE strategies that may offer advantages in resource requirements and coherence times.

Main Methods:

  • Developed two distinct MBQC-based VQE schemes.
  • Scheme 1: Introduced a new method for constructing variational ansatz families tailored for MBQC.
  • Scheme 2: Provided a formal translation from traditional circuit-based VQE to MBQC.

Main Results:

  • Both proposed MBQC-VQE schemes demonstrate problem-specific advantages.
  • The schemes offer potential reductions in required quantum resources.
  • The approaches may lead to improved performance concerning quantum coherence times.

Conclusions:

  • Measurement-based quantum computation offers a promising alternative paradigm for variational quantum eigensolvers.
  • The presented schemes provide concrete pathways for developing more efficient and robust VQEs.