The development of quantum technologies requires reliable processing of quantum information on large quantum systems. This is highly challenging as quantum systems are more sensitive to perturbations with increasing system size. In the last years, out-of-time-order correlations (OTOC) have gained special interest for measuring sensitivity to perturbations of many-body systems. These OTOCs can be experimentally measured with time reversion of quantum evolutions, on which the reversion is considered perfect. However, in practice the time reversion always contains imperfections. We study the spreading of information from a local state by monitoring OTOC dynamics. Using quantum simulations with solid-state Nuclear Magnetic Resonance, we engineer a ½-spin system Hamiltonian and we add a variable perturbation. When the perturbation interaction Hamiltonian is not reverted in time, we observe a localized spreading of information by the OTOC dynamic. The OTOC measures the effective cluster size of spins that were correlated by the ideal -control- Hamiltonian. If the perturbation is included in the time reversion, the localization effects are not manifested, and the information spreads over the system indefinitely. These results provide a new tool to determine the maximum system size that can be controlled in realistic experimental setups with unavoidable imperfect control operations.

Quantum information spreading measured by out-of-time-order correlations with magnetic resonance

QCQS-2: Quantum Computing and Quantum Simulation

technical paper

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Quantum 2020

The Institute of Physics and IOP Publishing, in partnership with the Chinese Physical Society (CPS) and the University of Science and Technology of China (USTC) are proud to have brought together the international quantum science community online for this inaugural conference.

Early career and leading researchers from universities, industry and government worldwide came together to share, learn and collaborate on the latest research and emerging areas of high interest across quantum science and technology. 

María Cristina Rodríguez

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Quantum information spreading measured by out-of-time-order correlations with magnetic resonance

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