The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

Data compression can be achieved by reducing the dimensionality of high-dimensional but
approximately low-rank datasets, which may in fact be described by the variation of a much …

As a ubiquitous aspect of modern information technology, data compression has a wide
range of applications. Therefore, a quantum autoencoder which can compress quantum …

A universal quantum processor is a device that takes as input a (quantum) program,
containing an encoding of an arbitrary unitary gate, and a (quantum) data register, on which …

The Schur transform is a unitary operator that block diagonalizes the action of the symmetric
and unitary groups on an n fold tensor product V⊗ n of a vector space V of dimension d …

The ability to extract relevant information is critical to learning. An ingenious approach as
such is the information bottleneck, an optimisation problem whose solution corresponds to a …

Quantum data compression is of great significance to both quantum computation and
quantum communication due to the limited resources for quantum storage. Here in this …

Advances in development of quantum computing processors brought ample opportunities to
test the performance of various quantum algorithms with practical implementations. In this …

Error correcting codes with a universal set of transversal gates are a desideratum for
quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem …

Herein we continue the study of the representation theory of the algebra of permutation
operators acting on the $ n $-fold tensor product space, partially transposed on the last …