Quantum state tomography and quantum process tomography provide a mathematical groundwork to deduce quantum states and characterize quantum processes from measured data. However, quantum state and process tomography require an exponential number of measurements to reconstruct density or process matrix of a 2^n -dimensional system of n qubits. In this research program, we plan to investigate different approaches to develop scalable quantum tomography techniques.
Photons are excellent candidates to encode and transfer quantum information, however, lack of interaction between photons makes entangling operations and therefore nontrivial quantum states difficult to achieve. Mapping photons onto stationary atomic or solid-state systems can be used to mediate interaction between photons. In this research program we plan to use features of Rydberg physics such as the Rydberg blockade effect to induce non-linearity between photons.
The aim of the meeting is to bring together researchers whose work relates to the interests of Paul Busch who, while holding a Leverhulme Trust Senior Research Fellowship (2017-18), passed away last year after a short illness.
Paul made many fundamental contributions to the mathematical foundations of quantum mechanics, in particular to the theory of measurement and uncertainty relations. A characteristic feature of his approach was to clarify conceptual issues besetting the foundations of quantum theory, by providing mathematically rigorous answers.