Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Adhikari, Bibhas"'
Autor:
Adhikari, Bibhas
In this paper, we introduce classical algorithms for random sampling of permutations, drawing inspiration from the Steinhaus-Johnson-Trotter algorithm. Our approach takes a comprehensive view of permutation sampling by expressing them as products of
Externí odkaz:
http://arxiv.org/abs/2409.03018
In this paper, we design quantum circuits for the exponential of scaled $n$-qubit Pauli strings using single-qubit rotation gates, Hadamard gate, and CNOT gates. A key result we derive is that any two Pauli-string operators composed of identity and $
Externí odkaz:
http://arxiv.org/abs/2405.13605
Autor:
Sarkar, Rohit Sarma, Adhikari, Bibhas
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 circuit approximation of multi-qubit unitary gates. Layers of the neural
Externí odkaz:
http://arxiv.org/abs/2405.00012
Autor:
Adhikari, Bibhas, Jha, Aryan
In this paper we develop a classical algorithm of complexity $O(K \, 2^n)$ to simulate parametrized quantum circuits (PQCs) of $n$ qubits, where $K$ is the total number of one-qubit and two-qubit control gates. The algorithm is developed by finding $
Externí odkaz:
http://arxiv.org/abs/2401.13156
Autor:
Sarkar, Rohit Sarma, Adhikari, Bibhas
We develop qutrit circuit models for discrete-time three-state quantum walks on Cayley graphs corresponding to Dihedral groups $D_N$ and the additive groups of integers modulo any positive integer $N$. The proposed circuits comprise of elementary qut
Externí odkaz:
http://arxiv.org/abs/2401.11023
Autor:
Mandal, Amrita, Adhikari, Bibhas
Publikováno v:
Linear Algebra and its Applications, 2024
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, we derive trace-zero doubly stochastic (DS) matrices of order $5$ who
Externí odkaz:
http://arxiv.org/abs/2311.06810
In this paper, we extend our earlier proposal of corona product of signed graphs into generalized corona product of signed graphs inspired by the generalized corona product of unsigned graphs. Then we study structural balance and spectral properties
Externí odkaz:
http://arxiv.org/abs/2310.08057
Autor:
Sarkar, Rohit Sarma, Adhikari, Bibhas
In this paper we study discrete-time quantum walks on Cayley graphs corresponding to Dihedral groups, which are graphs with both directed and undirected edges. We consider the walks with coins that are one-parameter continuous deformation of the Grov
Externí odkaz:
http://arxiv.org/abs/2309.15194
Interdisciplinarity has over the recent years have gained tremendous importance and has become one of the key ways of doing cutting edge research. In this paper we attempt to model the citation flow across three different fields -- Physics (PHY), Mat
Externí odkaz:
http://arxiv.org/abs/2309.10811
Autor:
Sarkar, Rohit Sarma, Adhikari, Bibhas
This work presents an optimization-based scalable quantum neural network framework for approximating $n$-qubit unitaries through generic parametric representation of unitaries, which are obtained as product of exponential of basis elements of a new b
Externí odkaz:
http://arxiv.org/abs/2304.14096