Year: 2026
Type: preprint
Abstract: We open the quantum baker map with a position window of width $w$ and center $q_c$. Classical pruning tiles the $(q_c,w)$ plane into diamonds where the $T$ leading resonances form root-of-unity multiplets. At $w=1/2$ one periodic orbit survives for almost every $q_c$, and the multiplets are quantized without free parameters: their modulus $2^{-1/2}$ saturates the pressure bound and their phase is the orbit action. The multiplets form cycling multicomponent cat states. Finally, the opening reduces to one flag qubit per step, and on an IBM superconducting processor the return probability already revives at the period selected by the window.
Source: arXiv (Cornell University)
Author: Ermann, Leonardo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222966804