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Efficient Quantum Algorithm for All Quantum Wavelet Transforms
Mohsen Bagherimehrab, Alan Aspuru-Guzik
Wavelet transforms are widely used in various fields of science and engineering as a mathematical tool with features that reveal information ignored by the Fourier transform. Unlik…
Noisy intermediate-scale quantum (NISQ) algorithms
Kishor Bharti, Alba Cervera-Lierta, Thi Ha Kyaw +11
A universal fault-tolerant quantum computer that can solve efficiently problems such as integer factorization and unstructured database search requires millions of qubits with low…
Natural Evolutionary Strategies for Variational Quantum Computation
Abhinav Anand, Matthias Degroote, Alán Aspuru-Guzik
Natural evolutionary strategies (NES) are a family of gradient-free black-box optimization algorithms. This study illustrates their use for the optimization of randomly-initialized…
Tequila: A platform for rapid development of quantum algorithms
Jakob S. Kottmann, Sumner Alperin-Lea, Teresa Tamayo-Mendoza +15
Variational quantum algorithms are currently the most promising class of algorithms for deployment on near-term quantum computers. In contrast to classical algorithms, there are al…
The Meta-Variational Quantum Eigensolver (Meta-VQE): Learning energy profiles of parameterized Hamiltonians for quantum simulation
Alba Cervera-Lierta, Jakob S. Kottmann, Alán Aspuru-Guzik
We present the meta-VQE, an algorithm capable to learn the ground state energy profile of a parametrized Hamiltonian. By training the meta-VQE with a few data points, it delivers a…
Reducing qubit requirements while maintaining numerical precision for the Variational Quantum Eigensolver: A Basis-Set-Free Approach
Jakob S. Kottmann, Philipp Schleich, Teresa Tamayo-Mendoza +1
We present a basis-set-free approach to the variational quantum eigensolver using an adaptive representation of the spatial part of molecular wavefunctions. Our approach directly d…