| Project Title: State preparation of matrix-product operations Advisors: J. Marecek (CTU) , D. Henrion (LAAS), M. Korda (LAAS) Mentor: G. Korpas (HSBC Lab) |
| Objectives: Many practical quantum circuits operate with multiple quantum registers, storing multiple types of input, some ancillas, and some output registers. In the corresponding initial state preparation, one may wish to utilize quantum optimal control. The quotient geometry of the matrix product state complicates things (e.g., invariance under the orthogonal group action makes it impossible to have unique optima), but opens up opportunities for efficient implementation. We will explore applications in 1. quantum optimal control 2. robust extensions. We hope that the tensor-product approach could improve the scalability of classically-implemented quantum optimal control both in terms of first-order heuristics and globally convergent methods. We will develop novel methods for quantum optimal control where the target is a matrix-product operation, both in terms of first-order heuristics and globally convergent methods. |
| Expected Results: Writing journal and conference papers in and completion of a PhD degree by the DC. |
| Planned secondment(s): with D. Henrion and M. Korda at LAAS to work on the quotient geometry and optimal control (M21-29); with G. Korpas at HSBC Labs to work on applications to risk management (M30-32). |
| Joint degree: Czech Technical University, Université Toulouse III-Paul Sabatier |
