Quantum Computation of Eigenvalues within Target Intervals
- URL: http://arxiv.org/abs/2005.13434v4
- Date: Wed, 11 Nov 2020 14:24:45 GMT
- Title: Quantum Computation of Eigenvalues within Target Intervals
- Authors: Phillip W. K. Jensen, Lasse Bj{\o}rn Kristensen, Jakob S. Kottmann and
Al\'an Aspuru-Guzik
- Abstract summary: 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 illustrate initial applications by amplifying excited states on molecular Hydrogen.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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