Erlangen 2022 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 4: Quantum Information (Concepts and Methods) I

Q 4.3: Talk

Monday, March 14, 2022, 14:30–14:45, Q-H12

Quantum Frames and Distance Measures — •Moritz Ferdinand Richter and Heinz-Peter Breuer — Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3, D-79104, Germany

Based on Informationally Complete Positive Operator Valued Measures (IC-POVM) the poster will introduce a decomposition of generally mixed quantum states - given by their density operators - in a fixed set of pure quantum states, i.e. rank-one projection operators (quantum frame). This decomposition allows a vector like representation for arbitrary quantum states which can be linearly connected to the probability distribution generated by the IC-POVM - underlying the quantum frame - applied to the quantum state at hand. Both the probability distribution and the quantum frame decomposition can be used to define certain distance measures for quantum states which provide a lower and upper bound for the trace distance between quantum states.