4 papers
Bosonic codes from compact phase spaces
David Roberts, Aaron Slipper, Alireza Parhizkar +2
We present the algebraic structure of bosonic quantum error-correcting codes on genus-two Riemann surfaces. We explicitly construct the code words as automorphic forms and analytic…
Quantum Metamorphosis: Programmable Emergence and the Breakdown of Bulk-Edge Dichotomy in Multiscale Systems
Mahmoud Jalali Mehrabad, Alireza Parhizkar, Lida Xu +6
Multiscale synergy -- the interplay of a system's distinct characteristic length, time, and energy scales -- is becoming a unifying thread across many contemporary branches of scie…
Geometric Delocalization in Two Dimensions
Laura Shou, Alireza Parhizkar, Victor Galitski
We demonstrate the existence of transient two-dimensional surfaces where a random-walking particle escapes to infinity in contrast to localization in standard flat 2D space. We fir…
Zero Flux Localization: Magic Revealed
Alireza Parhizkar, Victor Galitski
Flat bands correspond to the spatial localization of a quantum particle moving in a field with discrete or continuous translational invariance. The canonical example is the flat La…