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Unambiguous measurement of information scrambling in a hierarchical star-topology system

2019/06/06 by Deepak Khurana, Khurana, Deepak, V. R. Krithika +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.48550/arxiv.1906.02692

10 pages, 7 figures, comments are welcome

arxiv created 2019/06/06 · openalex publication_date 2019/06/06 · arxiv updated 2019/06/07 · openalex created_date 2019/06/14 · openalex updated_date 2026/07/28

Abstract

We investigate the scrambling of information in a hierarchical star-topology system using out-of-time-ordered correlation (OTOC) functions. The system consists of a central qubit directly interacting with a set of satellite qubits, which in turn interact with a second layer of satellite qubits. This particular topology not only allows convenient preparation and filtering of multiple quantum coherences between the central qubit and the first layer but also to engineer scrambling in a controlled manner. Hence, it provides us with an opportunity to experimentally study scrambling of information localized in multi-spin correlations via the construction of relevant OTOCs. Since the measurement of OTOC requires a time evolution, the non-scrambling processes such as decoherence and certain experimental errors create an ambiguity. Therefore, the unambiguous quantification of information scrambling requires suppressing contributions from decoherence to the OTOC dynamics. To this end, we propose and experimentally demonstrate a constant time protocol which is able to filter contribution exclusively from information scrambling.

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