The Variational Quantum Eigensolver: A review of methods and best practices

The variational quantum eigensolver (or VQE), first developed by Peruzzo and colleagues We identify four main areas of future research: (1) optimal measurement schemes for reduction of circuit repetitions required; (2) large scale parallelization across many quantum computers; (3) ways to overcome the potential appearance of vanishing gradients in the optimization process for large systems, and how the number of iterations required for the optimization scales with system size; (4) the extent to...

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• 1 (2014), has received significant attention from the research community in recent years.
• 2 It uses the variational principle to compute the ground state energy of a Hamiltonian, a problem that is central to quantum chemistry and condensed matter physics.
• 3 Conventional computing methods are constrained in their accuracy due to the computational limits facing exact modeling of the exponentially growing electronic wavefunction for these many-electron systems.

This work deepens our understanding of the fundamental laws governing the universe, from subatomic particles to cosmic structures.

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