Quantum scrambling with classical shadows

Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its mea...

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Detalhes bibliográficos
Principais autores: Garcia, Roy J., Zhou, You, Jaffe, Arthur
Outros Autores: School of Physical and Mathematical Sciences
Formato: Journal Article
Idioma:English
Publicado em: 2022
Assuntos:
Acesso em linha:https://hdl.handle.net/10356/159360
Descrição
Resumo:Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to the OTOC's unusual time ordering, its measurement is challenging. We propose higher-point OTOCs to reveal early-time scrambling behavior, and present protocols to measure any higher-point OTOC using the shadow estimation method. The protocols circumvent the need for time-reversal evolution and ancillary control. They can be implemented in near-term quantum devices with single-qubit readout.