The problem of identifying maximally entangled quantum states of a composite quantum
systems is analyzed. We review some states of multipartite systems distinguished with …

Progress in the reliable preparation, coherent propagation and efficient detection of many-
body states has recently brought collective quantum phenomena of many identical particles …

A standard approach to quantifying resources is to determine which operations on the
resources are freely available, and to deduce the partial order over resources that is induced …

A standard approach to quantifying resources is to determine which operations on the
resources are freely available and to deduce the ordering relation among the resources that …

Quantum entanglement has been regarded as one of the key physical resources in quantum
information sciences. However, the determination of whether a mixed state is entangled or …

We generalize the class of hypergraph states to multipartite systems of qudits, by means of
constructions based on the d-dimensional Pauli group and its normalizer. For simple …

The nonlocal properties of arbitrary dimensional bipartite quantum systems are investigated.
A complete set of invariants under local unitary transformations is presented. These …

We present a necessary condition for two sets of maximally entangled states to be locally
equivalent in terms of local invariants. With the help of these invariants, first, we are able to …

We study the local unitary equivalence of arbitrary dimensional multipartite quantum mixed
states. We present a necessary and sufficient criterion of the local unitary equivalence for …

Local unitary equivalence is an important ingredient for quantifying and classifying
entanglement. Verifying whether or not two quantum states are local unitary equivalent is a …