8 papers
Quantum State Routing and Perfect State Transfer on Signed Graphs under Environmental Noise
Nur Mohammad Sanfui, Supriyo Dutta
Routing unknown quantum information across distributed communication networks requires autonomous, measurement-free mechanisms to prevent wave-function collapse. Szegedy quantum wa…
Construction of Partial Join Graphs with Perfect State Transfer in Shunt Decomposition-Based Quantum Walks
Banita Katuwal, Y Lakshmi Naidu, Srinath M S +1
In this paper, we define directed partial join graphs with signed couplings and construct discrete-time quantum-walk transition operators for these graphs using the shunt-decomposi…
Structural Characterizations and Algebraic Realizations of a Family of Regular Integral Graphs
Tapa Manna, Supriyo Dutta, Baby Bhattacharya
All the eigenvalues of an integral graphs are integers. Integral graphs are extremely rare. They form an asymptotically vanishing fraction among all graphs on verti…
Perfect State Transfer on Quotient Graphs in Shunt Decomposition-Based Quantum Walks
Banita Katuwal, Srinath M S, Y Lakshmi Naidu +1
This paper investigates perfect state transfer (PST) in discrete-time quantum walks constructed via the shunt decomposition method. The walks are defined on a graph and its ass…
Quantum state transfer on a scalable network under unital and non-unital noise
Monika Rani, Subhashish Banerjee, Nikhil Swami +1
We investigate quantum state transfer on a class of bipartite graphs, namely the butterfly graphs, within the framework of discrete-time quantum walks. These graphs facilitate the…
Structural and Spectral Properties of Prime Order Element Graph of Finite Abelian Groups
Tapa Manna, Supriyo Dutta, Baby Bhattacharya
Given a finite group , the \emph{Prime Order Element (POE) Graph} consists of the group elements as the vertices, and two vertices and are adjacent if and only if…
Community detection in network using Szegedy quantum walk
Md Samsur Rahaman, Supriyo Dutta
In a network, the vertices with similar characteristics construct communities. The vertices in a community are well-connected. Detecting the communities in a network is a challengi…
Do quantum linear solvers offer advantage for networks-based system of linear equations?
Disha Shetty, Supriyo Dutta, Palak Chawla +5
In this exploratory numerical study, we assess the suitability of Quantum Linear Solvers(QLSs)toward providing a quantum advantage for Networks-based Linear System Problems (NLSPs)…