Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.15783 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908312264507392 |
|---|---|
| author | Yuan, Ming Seif, Alireza Lingenfelter, Andrew Schuster, David I. Clerk, Aashish A. Jiang, Liang |
| author_facet | Yuan, Ming Seif, Alireza Lingenfelter, Andrew Schuster, David I. Clerk, Aashish A. Jiang, Liang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15783 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal Control in Bosonic Systems with Weak Kerr Nonlinearities Yuan, Ming Seif, Alireza Lingenfelter, Andrew Schuster, David I. Clerk, Aashish A. Jiang, Liang Quantum Physics 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. |
| title | Universal Control in Bosonic Systems with Weak Kerr Nonlinearities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2312.15783 |