5 papers
Signed network models for portfolio optimization
Bibhas Adhikari
In this work, we consider weighted signed network representations of financial markets derived from raw or denoised correlation matrices, and examine how negative edges can be expl…
A quantum neural network framework for scalable quantum circuit approximation of unitary matrices
Rohit Sarma Sarkar, Bibhas Adhikari
In this paper, we develop a Lie group theoretic approach for parametric representation of unitary matrices. This leads to develop a quantum neural network framework for quantum cir…
Arithmetical Structures on Wheel Graphs
Bibhas Adhikari, Namita Behera, Dilli Ram Chhetri +1
An arithmetical structure on a finite and connected graph G is a pair (d, r) of positive integer vectors such that r is primitive (the gcd of its entries is 1) and (diag(d) - A)r =…
Scalable quantum circuits for exponential of Pauli strings and Hamiltonian simulations
Rohit Sarma Sarkar, Sabyasachi Chakraborty, Bibhas Adhikari
In this paper, we design quantum circuits for the exponential of scaled -qubit Pauli strings using single-qubit rotation gates, Hadamard gate, and CNOT gates. A key result we de…
On the trace-zero doubly stochastic matrices of order 5
Amrita Mandal, Bibhas Adhikari
We propose a graph theoretic approach to determine trace of product of two permutation matrices through a weighted digraph representation of the permutation matrices. Consequently,…