6 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…
Quantum state determinability from local marginals is universally robust
Wenjun Yu, Fei Shi, Giulio Chiribella +1
A fundamental problem in quantum physics is to establish whether a multiparticle quantum state can be uniquely determined from its local marginals. In theory, this problem has been…
Exploring quantum weight enumerators from the -qubit parallelized SWAP test
Fei Shi, Kaiyi Guo, Xiande Zhang +1
Quantum weight enumerators are fundamental tools for analyzing quantum error-correcting codes and multipartite entanglement, offering insights into the existence of quantum error-c…
Experimental Multipartite Entanglement Detection With Minimal-Size Correlations
Dian Wu, Fei Shi, Jia-Cheng Sun +5
Multiparticle entanglement is a valuable resource for quantum technologies, including measurement based quantum computing, quantum secret sharing, and a variety of quantum sensing…
Approximate k-uniform states: definition, construction and applications
Kaiyi Guo, Fei Shi, You Zhou +1
-Uniform states are fundamental to quantum information and computing, with applications in multipartite entanglement and quantum error-correcting codes (QECCs). Prior work has p…