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Optimal steering of matrix product states and quantum many-body scars

Quantum Seminar

Date: Wednesday, May 4, 2022 13:30 - 14:30
Speaker: Marko Ljubotina (ISTA)
Location: Big Seminar Room B (big) 63 seats (I23.EG.102)
Series: Physical Sciences Seminar
Host: Maksym Serbyn
Contact: PETZ Caroline

Ongoing development of quantum simulators allows for a progressively finer degree of control of quantum many-body systems. This motivates the development of efficient approaches to facilitate the control of such systems and enable the preparation of non-trivial quantum states using a limited set of available controls. In this talk I will present a new approach which can be used to find the locally optimal driving protocol for trajectories within a matrix product state manifold. I will then focus on a specific example, namely the PXP model, where I will compare our approach to counter-diabatic driving using numerical simulations. Lastly, I will present two use cases.

Firstly, I will present how this approach can be used to stabilize quantum scars by constructing a Floquet model with nearly ideal scars and secondly, I will present a step towards full trajectory optimization and demonstrate the entanglement steering capabilities that allow us to construct entangled states with high fidelity.

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