Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

A'Galois quantum system'in which the position and momentum take values in the Galois field
GF (p ℓ) is considered. It is comprised of ℓ-component systems which are coupled in a …

We generalize the concept of mutually unbiased bases (MUB) to measurements which are
not necessarily described by rank one projectors. As such, these measurements can be a …

Predicting properties of large-scale quantum systems is crucial for the development of
quantum science and technology. Shadow estimation is an efficient method for this task …

For a system of N qubits, living in a Hilbert space of dimension d= 2 N, it is known that there
exists d+ 1 mutually unbiased bases. Different construction algorithms exist, and it is …

We present an experimentally feasible and efficient method for detecting entangled states
with measurements that extend naturally to a tomographically complete set. Our detection …

We consider the average distance between four bases in six dimensions. The distance
between two orthonormal bases vanishes when the bases are the same, and the distance …

Absolutely maximally entangled (AME) states are pure multi-partite generalizations of the
bipartite maximally entangled states with the property that all reduced states of at most half …

We investigate the generation of quantum states and unitary operations that are``random''in
certain respects. We show how to use such states to estimate the average fidelity, an …

Tomography of the two-qubit density matrix shared by Alice and Bob is an essential
ingredient for guaranteeing an acceptable margin of confidentiality during the establishment …