Eigenvalues of tensors – applications to multipartite entanglement
Duration: 5 months full-time internship
6 months full-time internship
Latest starting date: 01/06/2024
Localisation: LPT Toulouse
Ion NECHITA email@example.com
This research master's degree project could be followed by a PhD
Quantum entanglement is one of the most intriguing phenomena in quantum physics, and it plays a crucial role in various quantum technologies, including quantum computing and quantum communication. Multipartite quantum entanglement, which involves the entanglement of more than two quantum systems, is an area of increasing interest due to its potential applications in quantum information processing. In recent years, tensor networks have emerged as a powerful tool for understanding and characterizing multipartite entanglement in quantum systems. This proposal outlines a research project that aims to explore the fascinating intersection of multipartite quantum entanglement and the mathematics of tensors. We seek to investigate the theoretical foundations, develop computational tools, and explore practical applications of these topics. Objectives - Theoretical Investigation: We will delve into the mathematical and theoretical aspects of multipartite quantum entanglement and tensors (norms, eigenvalues, etc). This includes studying the principles of quantum entanglement in multipartite systems, tensor representations of quantum states, and the concepts of tensor norms and eigenvalues. Development of Computational Tools: We will develop computational algorithms and software tools for efficiently describing and simulating multipartite entangled quantum states. Characterization and Classification: Our project will focus on characterizing different types of multipartite entanglement in quantum systems. We will aim to classify multipartite entangled states and investigate their properties using the mathematical tools developed.
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Areas of expertise:
quantum information theory, quantum computing, quantum entanglement, linear algebra, tensors
Required skills for the internship:
solid background in quantum theory and linear algebra