Journal article
Quantum simulation of scattering in the quantum Ising model
Physical review. D, Vol.99(9), p.094503
01/17/2019
DOI: 10.1103/PhysRevD.99.094503
Abstract
We discuss real time evolution for the quantum Ising model in one spatial dimension with $N_s$ sites. In the limit where the nearest neighbor interactions $J$ in the spatial directions are small, there is a simple physical picture where qubit states can be interpreted as approximate particle occupations. Using exact diagonalization, for initial states with one or two particles, we show that for small $J$, discrete Bessel functions provide very accurate expressions for the evolution of the occupancies corresponding to initial states with one and two particles. Boundary conditions play an important role when the evolution time is long enough. We discuss a Trotter procedure to implement the evolution on existing quantum computers and discuss the error associated with the Trotter step size. We discuss the effects of gate and measurement errors on the evolution of one and two particle states using 4 and 8 qubits circuits approximately corresponding to existing or near term quantum computers.
Details
- Title: Subtitle
- Quantum simulation of scattering in the quantum Ising model
- Creators
- Erik Gustafson - University of IowaYannick Meurice - University of IowaJudah Unmuth-Yockey
- Resource Type
- Journal article
- Publication Details
- Physical review. D, Vol.99(9), p.094503
- DOI
- 10.1103/PhysRevD.99.094503
- ISSN
- 2470-0010
- eISSN
- 2470-0029
- Grant note
- DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-SC0019139
- Language
- English
- Date published
- 01/17/2019
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199746602771
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