Simulating spin dynamics with quantum computers
- URL: http://arxiv.org/abs/2207.10567v1
- Date: Wed, 29 Jun 2022 16:46:04 GMT
- Title: Simulating spin dynamics with quantum computers
- Authors: Jarrett L. Lancaster and D. Brysen Allen
- Abstract summary: IBM quantum computers are used to simulate the dynamics of small systems of interacting quantum spins.
We construct circuits which compute the exact time evolution at arbitrary times and allow measurement of spin expectation values.
Basic readout-error mitigation is introduced to improve the quality of results run on these noisy devices.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: IBM quantum computers are used to simulate the dynamics of small systems of
interacting quantum spins. For time-independent systems with $N\leq 2$ spins,
we construct circuits which compute the exact time evolution at arbitrary times
and allow measurement of spin expectation values. Larger systems with spins
require a the Lie-Trotter decomposition of the time evolution operator, and we
investigate the case of $N=3$ explicitly. Basic readout-error mitigation is
introduced to improve the quality of results run on these noisy devices. The
simulations provide an interesting experimental component to the standard
treatment of quantum spin in an undergraduate quantum mechanics course.
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