3 papers
quant-ph2026
Robustness of quantum spectrum estimation: weak Schur sampling under noisy inputs
Vladyslav Visnevskyi, Laura Mančinska
We initiate the study of weak Schur sampling (WSS) under noisy inputs. Many optimal quantum learning algorithms rely on this measurement, for instance in quantum spectrum estimatio…
quant-ph2026
Permutation-invariant codes: a numerical study and qudit constructions
Liam J. Bond, Jiří Minář, Māris Ozols +2
We investigate Permutation-Invariant (PI) quantum error-correcting codes encoding a logical qudit of dimension in PI states using physical qudits of dimensi…
quant-ph2025
High-dimensional quantum Schur transforms
Adam Burchardt, Jiani Fei, Dmitry Grinko +4
The quantum Schur transform has become a foundational quantum algorithm, yet even after two decades since the seminal 2005 paper by Bacon, Chuang, and Harrow (BCH), some aspects of…