Local quantum uncertainty and bounds on quantumness for orthogonally invariant class of states

Local quantum uncertainty and bounds on quantumness for orthogonally invariant class of states

Local Quantum Uncertainty and Bounds on Quantumness for O ⊗O invariant class of states

Quantum mechanics shows several counter-intuitive results when we are dealing with composite systems [1–3]. There exist peculiar type of correlations between different parts of a composite system commonly known as non-classical correlations. Entanglement is one of the most powerful non-classical correlation that establishes its importance in different information processing tasks. However, seve...

The Quantumness of a Set of Quantum States

We propose to quantify how “quantum” a set of quantum states is. The quantumness of a set is the worst-case difficulty of transmitting the states through a classical communication channel. Potential applications of this measure arise in quantum cryptography, where one might like to use an alphabet of states most sensitive to quantum eavesdropping, and in lab demonstrations of quantum teleportat...

A note on the bounds of Laplacian-energy-like-invariant

The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the num...

Joint System Quantum Descriptions Arising from Local Quantumness

Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum state. Here we consider the effect of dropping the assumption of finite dimensionality. Remarkably, we find that the same result holds provided that we r...