18 citations · 81 across the 38 of their papers we have counts for
5 papers · 1 filter
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…
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…
Local Hamiltonian decomposition and classical simulation of parametrized quantum circuits
Bibhas Adhikari, Aryan Jha
In this paper we develop a classical algorithm of complexity to simulate parametrized quantum circuits (PQCs) of qubits, where is the total number of one-qubi…
Quantum circuit model for discrete-time three-state quantum walks on Cayley graphs
Rohit Sarma Sarkar, Bibhas Adhikari
We develop qutrit circuit models for discrete-time three-state quantum walks on Cayley graphs corresponding to Dihedral groups and the additive groups of integers modulo any…