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On barren plateaus and cost function locality in variational quantum algorithms
Alexey Uvarov, Jacob Biamonte
Variational quantum algorithms rely on gradient based optimization to iteratively minimize a cost function evaluated by measuring output(s) of a quantum processor. A barren plateau…
Certified variational quantum algorithms for eigenstate preparation
Andrey Kardashin, Alexey Uvarov, Dmitry Yudin +1
Solutions to many-body problem instances often involve an intractable number of degrees of freedom and admit no known approximations in general form. In practice, representing quan…
Variational Quantum Eigensolver for Frustrated Quantum Systems
Alexey Uvarov, Jacob Biamonte, Dmitry Yudin
Hybrid quantum-classical algorithms have been proposed as a potentially viable application of quantum computers. A particular example - the variational quantum eigensolver, or VQE…
Machine Learning Phase Transitions with a Quantum Processor
Alexey Uvarov, Andrey Kardashin, Jacob Biamonte
Machine learning has emerged as a promising approach to study the properties of many-body systems. Recently proposed as a tool to classify phases of matter, the approach relies on…