Observation of Localization Using a Noisy Quantum Computer
- URL: http://arxiv.org/abs/2303.12309v4
- Date: Thu, 11 Jan 2024 08:02:03 GMT
- Title: Observation of Localization Using a Noisy Quantum Computer
- Authors: Kazue Kudo
- Abstract summary: We show how localization can be observed using a noisy quantum computer.
The quantities obtained from quantum-circuit simulation and real-device computation show their apparent dependence on disorder strength.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum dynamics in a strongly disordered quantum many-body system show
localization properties. The initial state memory is maintained owing to slow
relaxation when the system is in the localized regime. This work demonstrates
how localization can be observed using a noisy quantum computer by evaluating
the magnetization and twist overlap in a quantum spin chain after short-time
evolution. The quantities obtained from quantum-circuit simulation and
real-device computation show their apparent dependence on disorder strength,
although real-device computation suffers from noise-induced errors
significantly. Using the exact diagonalization of the Hamiltonian, we analyze
how noise-induced errors affect those quantities. The analysis also suggests
how the twist overlap can reflect the information on the eigenstates of the
Hamiltonian.
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