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Optimized experiment design and analysis for fully randomized benchmarking

Randomized benchmarking (RB) is a widely used strategy to assess the quality of available quantum gates in a computational context. The quality is usually expressed as an effective depolarizing error per step. RB involves applying random sequences of gates to an initial state and making a final measurement to determine the probability of an error. Current implementations of RB estimate this probability by repeating each randomly chosen sequence many times.

RQS Senior Investigator Davoudi Advocates for Quantum Simulation of Extreme Physics

Theoretical nuclear and particle physicists wield quantum field theory in their efforts to understand interactions between many particles or the behavior of particles with extremely large energies. This is no easy feat: At least theoretically, quantum field theory plays out in an infinite universe with particles constantly popping in and out of existence. Even the world’s biggest supercomputer would never be able to model it exactly. Fortunately, there are many computational tricks that can make the problem more tractable—like cutting up the infinite universe into a finite grid and taking judicious statistical samples instead of tracking every parameter of every particle—but they can only help so much. Over the past few years, a growing group of scientists has become wise to the potential of quantum computers to approach these calculations in a completely new way.

Theory of quantum circuits with Abelian symmetries and new methods for circuit synthesis with XY interaction

In this talk, I will first provide an overview of an ongoing project on symmetric quantum circuits and then discuss two related recent results from this year. The overarching goal of this project is to investigate the properties of quantum circuits constructed from k-local gates that all respect a global symmetry, such as U(1) or SU(d).