4 papers
HRT counterexamples with exponential tails
John Jasper, Dustin G. Mixon
We build on the recent breakthrough of Faulhuber, Petersen, van Velthoven, and Voigtlaender that disproved the HRT conjecture with a Schwartz function and a -point configuratio…
Complete Existence Classification of Seven-Partite Absolutely Maximally Entangled States
Fei Shi, Xiande Zhang, Qi Zhao +1
We prove that an absolutely maximally entangled state of seven qudits exists if and only if the local dimension satisfies . Prior to this work, to the best of our knowledg…
Optimal qudit overlapping tomography and optimal measurement order
Shuowei Ma, Qianfan Wang, Lvzhou Li +1
Quantum state tomography is essential for characterizing quantum systems, but it becomes infeasible for large systems due to exponential resource scaling. Overlapping tomography ad…
A High-Performance List Decoding Algorithm for Surface Codes with Erroneous Syndrome
Jifan Liang, Qianfan Wang, Lvzhou Li +1
Quantum error-correcting codes (QECCs) are necessary for fault-tolerant quantum computation. Surface codes are a class of topological QECCs that have attracted significant attentio…