Speaker: Robert Harris
Affiliation: University of Queensland

Abstract

Quantum error correction will be vital to protect quantum information when running large scale calculations on a quantum computer. Holographic quantum error correcting codes, first proposed as a model for the AdS/CFT correspondence, are formed by tessellation of smaller error correcting codes on a negatively curved surface, creating a finite rate code with potential for practical uses. We show that the original perfect tensor condition for the seed codes can be relaxed. This allows us to create our heptagon code, a CSS holographic code based on the Steane code, and another variant based on the surface code. We demonstrate that the some holographic codes have promising thresholds against both erasure and Pauli noise. Additionally we discuss different distances we can analyse for finite rate codes, and how these scale for holographic codes.

About Physics Seminars

The weekly Physics Seminar series focuses on a broad range of physics research within SMP, along with frequent presentations from visiting researchers. Seminars are usually scheduled for 1.00pm on Tuesdays.

The talks are typically more specialised than a colloquium but are often attended by staff and PhD students across a broad range of areas. Speakers are thus encouraged to include introductory material in the talks.

All SMP researchers and HDR students are encouraged to speak. Please email Lewis Williamson to register your interest.

The seminars are open so there is no need to register your attendance.

Venue

Zoom address:
https://uqz.zoom.us/j/94116861984