Operator theory in quantum information processing
Chaitanya S. KulkarniDepartment of Artificial Intelligence and Data Science, Vidya Pratishthan’s Kamalnayan Bajaj Institute of Engineering & Technology, Baramati, Maharashtra, 413133, IndiaHeena KwatraDepartment of Computer Science and Engineering, Bharati Vidyapeeth’s College of Engineering, New Delhi, Delhi, 110063, IndiaNitin Ajabrao DhawasGanesh GandalSardor SabirovDepartment of General Professional Sciences, Mamun University, Khiva, 220900, UzbekistanGayatri Dattatraya LondheFakhriddin IsaevCenter for Economic Development Research (CEDR), Tashkent State University of Economics, Tashkent, 100066, Uzbekistan
2026en
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ABI
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This paper looks at how operator theory can be used as a strict mathematical framework for processing quantum information. It discusses about how Hilbert spaces, spectral theory, and operator algebras can be used to describe quantum systems. The study also looks at Kraus decomposition and Stinespring dilation to talk about quantum channels and how they can be interpreted physically. In this study operator-theoretic method provide the huge data related to entanglement, decoherence, and channel stability by integrating the method as functional analysis with quantum physics.
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