Efficient experimental verification of continuously-parameterized gate sets and analog quantum simulators

Near-term quantum information processors will not be capable of quantum error correction, but instead will implement algorithms using the physical native interactions of the device. These interactions can be used to implement quantum gates that are often continuously-parameterized (e.g., by rotation angles), as well as to implement analog quantum simulations that seek to explore the dynamics of a particular Hamiltonian of interest. In this talk, I will discuss the randomized analog verification (RAV) technique for efficient experimental verification of continuously-parameterized quantum gate sets and analog quantum simulators, including numerical and experimental demonstrations to show the effectiveness of the technique.

References:

1. "Practical verification protocols for analog quantum simulators". Ryan Shaffer, Eli Megidish, Joseph Broz, Wei-Ting Chen, Hartmut Häffner. npj Quantum Information 7, 46 (2021). https://doi.org/10.1038/s41534-021-00380-8
2. "Efficient verification of continuously-parameterized quantum gates". Ryan Shaffer, Hang Ren, Emiliia Dyrenkova, Christopher G. Yale, Daniel S. Lobser, Ashlyn D. Burch, Matthew N. H. Chow, Melissa C. Revelle, Susan M. Clark, Hartmut Häffner. arXiv:2205.13074 (2022). https://arxiv.org/abs/2205.13074