Quantum information theory is built upon the realisation that quantum resources like
coherence and entanglement can be exploited for novel or enhanced ways of transmitting …

It has recently been pointed out that the geometric quantum discord, as defined by the
Hilbert-Schmidt norm (2-norm), is not a good measure of quantum correlations, since it may …

The partial transposition of a two-qubit state has at most one negative eigenvalue and all the
eigenvalues lie in [− 1/2, 1]. In this Brief Report, we extend this result by Sanpera et al.[A …

It is known that, in an (m⊗ n)-dimensional quantum system, the maximum dimension of a
subspace that contains only entangled states is (m− 1)(n− 1). We show that the exact same …

We propose a modified metric based on the Hilbert–Schmidt norm and adopt it to define a
rescaled version of the geometric measure of quantum discord. Such a measure is found not …

We show that the length of a qubit-qutrit separable state is equal to max (r, s), where r is the
rank of the state and s the rank of its partial transpose. We refer to the ordered pair (r, s) as …

Abstract Radhakrishnan et al.(Phys. Rev. Lett. 124: 110401, 2020) proposed quantum
discord to multipartite systems and derived explicit formulae for any states. These results are …

In this paper, we propose a theoretical scheme to study the dynamics of the geometric
measure of quantum discord (GMQD) between two non-interacting qubits in a dissipative …

In a recent article [Phys. Rev. A 86, 024302 (2012) 10.1103/PhysRevA. 86.024302], the
authors have derived some hierarchy relations between geometric discord and …

The structural study of entanglement in multipartite systems is hindered by the lack of
necessary and sufficient operational criteria able to discriminate among the various …