5 papers · 1 filter
Combinatorial structures in quantum correlation: A new perspective
Rohit kumar, Satyabrata Adhikari
Graph-theoretic structures play a central role in the description and analysis of quantum systems. In this work, we introduce a new class of quantum states, called -graph stat…
Fractional critical systems with mixed boundary conditions
R. Kumar, A. Ortega
In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions…
Global branching for semilinear fractional Laplace with sublinear nonlinearity
Jefferson Abrantes, Rohit Kumar, Abhishek Sarkar
This article investigates the existence, nonexistence, and multiplicity of positive solutions to the sublinear fractional elliptic problem . We begin by establishing sever…
Positive solutions to semipositone problems on Heisenberg group
Vikram Naik, Rohit Kumar
This article focuses on establishing a positive weak solution to a class of semipositone problems over the Heisenberg group . In particular, we are interested in the…
Construction of PPT entangled state and its detection by using second-order moment of the partial transposition
Rohit Kumar, Satyabrata Adhikari
We adopt a formalism by which we construct and detect a new family of positive partial transpose entangled states in dimensional system. Our detection method is ba…