Quantum scrambling with classical shadows

Autor: Garcia, Roy J., Zhou, You, Jaffe, Arthur
Rok vydání: 2021
Předmět:
Zdroj: Phys. Rev. Research 3, 033155 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevResearch.3.033155
Popis: 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.
Comment: 29 pages, 7 figures, comments are welcome
Databáze: arXiv