kjwcoo commented 2 years ago

Abstract

We will implement Leakage randomized benchmarking (LRB) using Qiskit Experiments.

Description

We define transmon qubits by limiting our attention to $|0\rangle$ and $|1\rangle$ states, ignoring all the other excited states. This approach works due to slight anharmonicity of transmons, but there can be always “leakage”, states in the computational space excited to the leakage space, and “seepage”, states in the leakage space relaxed into the computational space.
Such leakage and seepage are significant source of errors because they are usually not considered in quantum error correction. If one wants to correct them in a fault-tolerant way, significant hardware resources have to be dedicated to detect and correct leakage and seepage.
Now that we know how malicious leekage and seepage are, we should see how much leakage and seepage we have in our gate set. Such protocol is introduced in Ref where authors slightly modified standard randomized benchmarking. In this project, we will implement leakage randomized benchmarking in Ref using Qiskit Experiments.

Ref: Quantification and characterization of leakage errors, Wood et al., PRA.

Members

@githubhandle
@githubhandle - Slack: @slackhandle email: example@example.com
Qiskit Coach: @kjwcoo

Deliverable

Module for Qiskit Experiments

GitHub repo

bicycle315 commented 2 years ago

I'm intereted in your idea. I want to know how leakage RB is different from standard RB and how you want to use leakage RB to detect leakage in the gate set.

kjwcoo commented 2 years ago

@bicycle315 Great! Hope we can work on this project for this hackathon 👍

bicycle315 commented 2 years ago

when can we discuss about it?

kjwcoo commented 2 years ago

@bicycle315 DM me in the slack channel! We can either make a group chat in Kakaotalk or in slack. My name is Jinwoong Kim.