Theorie Kolloquium | January 16, 16:30
100 Years Later: Exploring Typical and Atypical Quantum Structures
Modern quantum mechanics is already 100 years old and we became accustomed to the observation that it accurately describes phenomena at the microscale. Rather than questioning whether quantum theory is good enough one often asks which structures allowed by quantum mechanics can be useful for some practical purposes. In this talk we will analyze various quantum structures, including the set of mixed quantum states of a finite order, along with quantum operations and quantum measurements which act upon them. We search for atypical quantum objects with extreme properties and identify some exemplary highly entangled multipartite states and strongly entangling quantum gates, which can be applied for quantum information processing. Additionally, we will examine discrete structures within the Hilbert space, including quantum designs: collections of objects, chosen in such a way that the average over them approximates the average over the measure analyzed for all functions of a given degree.
CFT PAN (Warsaw) & IFT UJ (Cracow)
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Contact: David Gross