Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.13317 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909579596529664 |
|---|---|
| author | Bornman, Nicholas Roy, Tanay Job, Joshua A. Anand, Namit Perdue, Gabriel N. Zorzetti, Silvia Alam, M. Sohaib |
| author_facet | Bornman, Nicholas Roy, Tanay Job, Joshua A. Anand, Namit Perdue, Gabriel N. Zorzetti, Silvia Alam, M. Sohaib |
| contents | High-coherence cavity resonators are excellent resources for encoding quantum information in higher-dimensional Hilbert spaces, moving beyond traditional qubit-based platforms. A natural strategy is to use the Fock basis to encode information in qudits. One can perform quantum operations on the cavity mode qudit by coupling the system to a non-linear ancillary transmon qubit. However, the performance of the cavity-transmon device is limited by the noisy transmons. It is, therefore, important to develop practical benchmarking tools for these qudit systems in an algorithm-agnostic manner. We gauge the performance of these qudit platforms using sampling tests such as the Heavy Output Generation (HOG) test as well as the linear Cross-Entropy Benchmark (XEB), by way of simulations of such a system subject to realistic dominant noise channels. We use selective number-dependent arbitrary phase and unconditional displacement gates as our universal gateset. Our results show that contemporary transmons comfortably enable controlling a few tens of Fock levels of a cavity mode. This framework allows benchmarking even higher dimensional qudits as those become accessible with improved transmons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13317 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Benchmarking the performance of a high-Q cavity qudit using random unitaries Bornman, Nicholas Roy, Tanay Job, Joshua A. Anand, Namit Perdue, Gabriel N. Zorzetti, Silvia Alam, M. Sohaib Quantum Physics High-coherence cavity resonators are excellent resources for encoding quantum information in higher-dimensional Hilbert spaces, moving beyond traditional qubit-based platforms. A natural strategy is to use the Fock basis to encode information in qudits. One can perform quantum operations on the cavity mode qudit by coupling the system to a non-linear ancillary transmon qubit. However, the performance of the cavity-transmon device is limited by the noisy transmons. It is, therefore, important to develop practical benchmarking tools for these qudit systems in an algorithm-agnostic manner. We gauge the performance of these qudit platforms using sampling tests such as the Heavy Output Generation (HOG) test as well as the linear Cross-Entropy Benchmark (XEB), by way of simulations of such a system subject to realistic dominant noise channels. We use selective number-dependent arbitrary phase and unconditional displacement gates as our universal gateset. Our results show that contemporary transmons comfortably enable controlling a few tens of Fock levels of a cavity mode. This framework allows benchmarking even higher dimensional qudits as those become accessible with improved transmons. |
| title | Benchmarking the performance of a high-Q cavity qudit using random unitaries |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.13317 |