The excitement around quantum computing comes primarily from the idea that certain large quantum algorithms could give us computational abilities unmatched by classical computers, however the quantum computers of today are neither large nor performant enough to execute such routines. The field of quantum error correction studies ways to design systems which allow a quantum computer to embed low-noise quantum degrees of freedom, called logical qubits, within the entangled state of a number of noisy physical components. These protocols are highly complex and involve both fine control over the quantum processors that run them, as well as classical processing to correct errors in real-time as they accumulate in the device, both of which require significant fine-tuning for the hardware architecture being used. This tutorial will feature speakers from the research groups pushing forward the cutting edge of quantum error correction theory, as well as those implementing the first experimental examples of these protocols. The lectures will explain the basics of the field, teach attendees how to think about the way that error correction works in practice, give a survey of advanced topics in the field, and present some of the experimental implementations that have begun to be implemented in the past five years.
Topics
- Quantum Error Correction Basics: Classical error correction, stabilizer codes, surface and color codes, simple logical gates, basic circuits.
- Implementing error correction in practice: Optimizing error correction protocols for superconducting and AMO architectures, building decoder graphs, novel hardware-optimized circuits.
- Logical operations via lattice surgery, T-state factories, GKP and LDPC codes.
- Experimental Implementations: Bacon-Shor implementation in ions (Monroe/Brown groups), Surface code implementation (Google), Three logical qubit experiments (Quantinuum), Logical qubit arrays (QuEra).
Who should attend?
Graduate students, postdocs, and professors interested in learning about the subfield of Quantum Error Correction. This set would include theorists from adjacent fields like quantum information, quantum algorithms, or condensed matter, as well as experimentalists building quantum computing hardware who have interest in running quantum error correction experiments to motivate their research as critical to a future fault-tolerant quantum computer. The lectures introduce the basics of quantum error correction, new perspectives on optimizing these protocols to reduce resource needs and adapt them to hardware, a discussion of some of the more theoretical aspects of the field which may become realistic in new architectures, and lastly an overview of current experimental progress in the field.
Organizer
- Dripto Debroy, Google
Presenters
- Natalie Brown, Quantinuum
- Dripto M. Debroy, Google
- Shruti Puri, Yale
- Dolev Bluvstein, Harvard