Quantum 2025 – wissenschaftliches Programm

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THU: Thursday Contributed Sessions

THU 10: Foundational / Mathematical Aspects – Methods and Approximations

THU 10.3: Vortrag

Donnerstag, 11. September 2025, 14:45–15:00, ZHG103

Geometry of quantum correlations — •Konrad Szymanski — Research Center for Quantum Information, Slovenská Akadémia Vied, Bratislava, Slovakia

Quantum mechanics gives rise to nonclassical correlations between observables, with rich mathematical theory behind and experimental importance: these correlations between observables affect metrological performance, entanglement detection, and phase transitions at zero temperature.

In this talk, numerical and analytical methods for the study of quantum correlations will be presented, focusing on the sets of admissible joint expectation values of observables and their covariance matrices. This framework will be illustrated through its application to entanglement characterization in photonic quantum states.

Keywords: numerical range; correlation matrix; photonic qubits; entanglement