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pro vyhledávání: '"Kanti A"'
Let $G$ be a group and $L(G)$ be the set of all subgroups of $G$. We introduce a bipartite graph $\mathcal{B}(G)$ on $G$ whose vertex set is the union of two sets $G \times G$ and $L(G)$, and two vertices $(a, b) \in G \times G$ and $H \in L(G)$ are
Externí odkaz:
http://arxiv.org/abs/2412.05494
Large Language Models (LLMs) are increasingly being applied across various domains, including code-related tasks such as code translation. Previous studies have explored using LLMs for translating code between different programming languages. Since L
Externí odkaz:
http://arxiv.org/abs/2412.04590
Achieving quantum advantage in energy storage and power extraction is a primary objective in the design of quantum-based batteries. We explore how long-range (LR) interactions in conjunction with Floquet driving can improve the performance of quantum
Externí odkaz:
http://arxiv.org/abs/2412.00921
Autor:
Goswami, Sayan, Patra, Sourav Kanti
Answering a conjecture of A. Sisto, J. Sahasrabudhe proved the exponential version of the Schur theorem: for every finite coloring of the naturals, there exists a monochromatic copy of $\{x,y,x^y:x\neq y\},$ which initiates the study of exponential R
Externí odkaz:
http://arxiv.org/abs/2411.19606
Autor:
Sen, Surajit, Dey, Tushar Kanti
We present a novel method to study the Bloch space of the qutrit system by examining the Bloch trajectories in it. Since such system is inherently a three-level quantum system, therefore we use the SU(3) group as the basis group to obtain the Bloch v
Externí odkaz:
http://arxiv.org/abs/2411.16480
Autor:
Das, Shrabani, Nath, Rajat Kanti
In this paper we compute first and second Zagreb indices of commuting conjugacy class graphs of finite groups and determine several classes of finite groups such that their commuting conjugacy class graphs satisfy Hansen-Vuki\v{c}evi\'c conjecture.
Externí odkaz:
http://arxiv.org/abs/2411.03170
Recent trends in lower precision, e.g. half-precision floating point, training have shown improved system performance and reduced memory usage for Deep Learning while maintaining accuracy. However, current GNN systems cannot achieve such goals for GN
Externí odkaz:
http://arxiv.org/abs/2411.01109
Autor:
Kaushik, Kush, Mondal, Jiban, Bag, Ritesh Kumar, Sharma, Shagun, Salam, Abdul, Nandi, Chayan Kanti
Room temperature single photon sources (SPS) are crucial for developing the next generation quantum technologies. Quantum dots (QDs), recently, have been reported as promising materials as SPS at room temperature. By optimizing the single particle op
Externí odkaz:
http://arxiv.org/abs/2410.22053
Autor:
Rony, Md Rashad Al Hasan, Shaha, Sudipto Kumar, Hasan, Rakib Al, Dey, Sumon Kanti, Rafi, Amzad Hossain, Sirajee, Ashraf Hasan, Lehmann, Jens
Bengali is the seventh most spoken language on earth, yet considered a low-resource language in the field of natural language processing (NLP). Question answering over unstructured text is a challenging NLP task as it requires understanding both ques
Externí odkaz:
http://arxiv.org/abs/2410.10229
We develop a method to transform a collection of higher-dimensional spin systems from the thermal state with a very high temperature of a local spin-s Hamiltonian to a low-lying energy eigenstate of the same. The procedure utilizes an auxiliary syste
Externí odkaz:
http://arxiv.org/abs/2409.08375