We introduce a framework to study discrete-variable (DV) quantum systems based on qudits.
It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), and a …

Since its emergence, quantum computing has enabled a wide spectrum of new possibilities
and advantages, including its efficiency in accelerating computational processes …

We prove that a haploid associative algebra in a C∗-tensor category C is equivalent to a Q-
system (a special C∗-Frobenius algebra) in C if and only if it is rigid. This allows us to prove …

We show how a number of well-known uncertainty principles for the Fourier transform, such
as the Heisenberg uncertainty principle, the Donoho–Stark uncertainty principle, and …

We introduce a quantum convolution and a conceptual framework to study states in discrete-
variable (DV) quantum systems. All our results suggest that stabilizer states play a role in DV …

To diagnose and cure breast cancer early, thus reducing the mortality of patients with breast
cancer, a method was provided to judge threshold of image segmentation by wavelet …

Discrete subfactors include a particular class of infinite index subfactors and all finite index
ones. A discrete subfactor is called local when it is braided and it fulfills a commutativity …

With the development of information technology, computer technology is also gradually
applied to the teaching activities of art education, and the use of multimedia technology to …

This study establishes, for the first time in literature, that quantum entanglement, as well as
the most important protocol derived from it, that is, quantum teleportation, completely rest on …

In this article, we prove various smooth uncertainty principles on von Neumann bi-algebras,
which unify a number of uncertainty principles on quantum symmetries, such as subfactors …