Quantum Computation of Eigenvalues within Target Intervals

Abstract

There is widespread interest in calculating the energy spectrum of a Hamiltonian, for example to analyze optical spectra and energy deposition by ions in materials. In this study, we propose a quantum algorithm that samples the set of energies within a target energy-interval without requiring good approximations of the target energy-eigenstates. We discuss the implementation of direct and iterative amplification protocols and give resource and runtime estimates. We illustrate initial applications by amplifying excited states on molecular Hydrogen.

21+10 pages, 8 figures, 3 tables; comments welcome

References in corpus (3)

• Simulated Quantum Computation of Molecular Energies
• Fixed-point quantum search with an optimal number of queries
• Novel constructions for the fault-tolerant Toffoli gate

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