English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We introduce and study the problem of scrambler hacking, which is theprocedure of quantum information extraction from and installation on a quantumscrambler given only partial access. This problem necessarily emerges from acentral topic in contemporary physics - information recovery from systemsundergoing scrambling dynamics, such as the Hayden-Preskill protocol in blackhole studies - because one must replace quantum data with another whenextracting it due to the no-cloning theorem. For large scramblers, we supplyanalytical formulas for the optimal hacking fidelity, a quantitative measure ofthe effectiveness of scrambler hacking with limited access. In the two-userscenario where Bob attempts to hack Alice's data, we find that the optimalfidelity converges to $64/(9\pi^2)\approx0.72$ with increasing Bob's hackingspace relative to Alice's user space. We applied our results to the black holeinformation problem and showed that the limited hacking fidelity implies thereflectivity decay of a black hole as an information mirror, which questionsthe solvability of the black hole information paradox through theHayden-Preskill type protocol.

Repeated Extraction of Scrambled Quantum Data: Sustainability of the Hayden-Preskill Type Protocols