Ramita Sarkar

Indian Institute of Science Education and Research Kolkata · Department of Physical Sciences

We demonstrate that a quantum hypergraph state is k-separable if and only if the hypergraph has k-connected components. The permutation symmetric states remains invariant under any permutation. We introduce permutation symmetric states generated by hypergraphs and describe their combinatorial structures. This combinatorial perspective insists us to...

A novel approach of concurrence measure of entanglement [1] has been used to measure pure states like Bell, GHZ, W of various qubits; Brown, Borras states as well as Hypergraph states of 4 qubit which are constructed from mathematical hypergraph. Considering every bi-partition total entanglement is measured by adding their individual entanglement m...

Corresponding to a hypergraph G with d vertices, a quantum hypergraph state is defined by $\left\vert G\right\rangle =\frac{1}{\sqrt{{2}^{d}}}{\sum }_{n=0}^{{2}^{d}-1}{(-1)}^{f(n)}\left\vert n\right\rangle $ , where f is a d-variable Boolean function depending on the hypergraph G, and $\left\vert n\right\rangle $ denotes a binary vector of length 2...

Exact sub and supersonic soliton solutions of the one-dimensional Westervelt equation are presented, describing the propagation of pressure waves with high amplitude or frequency in nonlinear acoustic media. The sub and super-sonic waves only exist on a pedestal, in the absence of which the excitations propagate at the same speed as the small ampli...

A detailed investigation of the multiparty entanglement present in the 4 qubit quantum hypergraph states is presented, following a measurement-based geometrical approach. Considering a classification of the 4 party quantum system represented by a mathematical hypergraph based on the connections between its vertices, the genuine 4 party entanglement...

Decoherence is a major issue in quantum information processing, degrading the performance of tasks or even precluding them. Quantum error-correcting codes, creating decoherence-free subspaces, and the quantum Zeno effect are among the major means for protecting quantum systems from decoherence. Increasing the number of qubits of a quantum system to...

We study the reciprocal of the mean quantum Fisher information (RMQFI), $\chi^2$ for general three qubit states, having graph and hypergraph states as special cases, for identifying genuine multi party entanglement characterized by $\chi^2 <1$. We demonstrate that the most symmetric graph state and the GHZ state have the lowest RMQFI values leading...

A detailed investigation of the multiparty entanglement present in the 4−qubit quantum hypergraph states is presented, fol- lowing a measurement-based geometrical approach. Con- sidering a classification of the 4−party quantum system rep- resented by a mathematical hypergraph based on the con- nections between its vertices, the genuine 4−party entan...

Corresponding to a hypergraph $G$ with $d$ vertices, a quantum hypergraph state is defined by $|G\rangle = \frac{1}{\sqrt{2^d}}\sum_{n = 0}^{2^d - 1} (-1)^{f(n)} |n \rangle$, where $f$ is a $d$-variable Boolean function depending on the hypergraph $G$, and $|n \rangle$ denotes a binary vector of length $2^d$ with $1$ at $n$-th position for $n = 0,...

An algorithm for hybrid sequencing of Deoxyribonucleic acid (DNA) is proposed using quantum tools. Using a modified version of Grover's search algorithm, the perfect ordering of a spectrum of oligonucleotides is done to form an ideal spectrum. We further show that the algorithm is polynomial time, and provide an example of quantum hybrid DNA sequen...

A thorough study of the multiparty entanglement present in the 4−qubit quantum Hypergraph states is presented following a measurement-based geometrical approach. Considering a classification of the 4−party quantum system represented by a mathematical Hypergraph based on the connections between its vertices, the genuine 4−party entanglement [1] pres...