Optimal steering of matrix product states and quantum many-body scars
- URL: http://arxiv.org/abs/2204.02899v2
- Date: Sun, 21 Aug 2022 15:28:29 GMT
- Title: Optimal steering of matrix product states and quantum many-body scars
- Authors: Marko Ljubotina, Barbara Roos, Dmitry A. Abanin, Maksym Serbyn
- Abstract summary: We formulate an approach to control quantum systems based on matrix product states(MPS)
We compare counter-diabatic and leakage minimization approaches to the so-called local steering problem.
We find that the leakage-based approach generally outperforms the counter-diabatic framework.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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. Here we formulate an approach to
control quantum systems based on matrix product states~(MPS). We compare
counter-diabatic and leakage minimization approaches to the so-called local
steering problem, that consists in finding the best value of the control
parameters for generating a unitary evolution of the specific MPS state in a
given direction. In order to benchmark the different approaches, we apply them
to the generalization of the PXP model known to exhibit coherent quantum
dynamics due to quantum many-body scars. We find that the leakage-based
approach generally outperforms the counter-diabatic framework and use it to
construct a Floquet model with quantum scars. We perform the first steps
towards global trajectory optimization and demonstrate entanglement steering
capabilities in the generalized PXP model. Finally we apply our leakage
minimization approach to construct quantum scars in the periodically driven
non-integrable Ising model.
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