Universal Control in Bosonic Systems with Weak Kerr Nonlinearities

• URL: http://arxiv.org/abs/2312.15783v1
• Date: Mon, 25 Dec 2023 18:17:47 GMT
• Title: Universal Control in Bosonic Systems with Weak Kerr Nonlinearities
• Authors: Ming Yuan, Alireza Seif, Andrew Lingenfelter, David I. Schuster, Aashish A. Clerk, Liang Jiang
• Abstract summary: Resonators with weak single-photon self-Kerr nonlinearities can theoretically be used to prepare Fock states in the presence of a loss much larger than their nonlinearities. We find that these systems can be controlled to achieve any desired gate operation in a finite dimensional subspace.
• Score: 8.760890995142748
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Resonators with weak single-photon self-Kerr nonlinearities can theoretically be used to prepare Fock states in the presence of a loss much larger than their nonlinearities. Two necessary ingredients are large displacements and a two-photon (parametric) drive. Here, we find that these systems can be controlled to achieve any desired gate operation in a finite dimensional subspace (whose dimensionality can be chosen at will). Moreover, we show that the two-photon driving requirement can be relaxed and that full controllability is achievable with only 1-photon (linear) drives. We make use of both Trotter-Suzuki decompositions and gradient-based optimization to find control pulses for a desired gate, which reduces the computational overhead by using a small blockaded subspace. We also discuss the infidelity arising from input power limitations in realistic settings, as well as from corrections to the rotating-wave approximation. Our universal control protocol opens the possibility for quantum information processing using a wide range of lossy systems with weak nonlinearities.

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