Quantum chaos has become a cornerstone of physics through its many applications. One
trademark of quantum chaotic systems is the spread of local quantum information, which …

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 …

In theoretical machine learning, the statistical complexity is a notion that measures the
richness of a hypothesis space. In this work, we apply a particular measure of statistical …

Quantum circuit complexity—a measure of the minimum number of gates needed to
implement a given unitary transformation—is a fundamental concept in quantum …

Given a unitary transformation, what is the size of the smallest quantum circuit that
implements it? This quantity, known as the quantum circuit complexity, is a fundamental …

Magic, or nonstabilizerness, characterizes how far away a state is from the stabilizer states,
making it an important resource in quantum computing, under the formalism of the Gotteman …

We establish an entropic, quantum central limit theorem and quantum inverse sumset
theorem in discrete-variable quantum systems describing qudits or qubits. Both results are …

We investigate the role of magic in the quantum capacity of channels. We consider the
quantum channel of the recently proposed discrete beam splitter with the fixed environment …

We investigate the role of magic resource in the quantum capacity of channels. We consider
the quantum channel of the recently proposed discrete beam splitter with the fixed …

The Wigner function formalism has played a pivotal role in examining the nonclassical
aspects of quantum states and their classical simulatability. Nevertheless, its application in …