[Physics-grads-open] Condensed Matter Seminar

[Heather A McDermott]

[cid:230bc5f3-f926-4445-ba2c-cd4f3c1044c2]

Condensed Matter Physics Seminar
Topological Stabilizer Code on a Honeycomb Lattice
Dr. Basudha Srivastava
Goteborg University
Abstract: Quantum systems are adversely affected by noise due to interactions with the environment. Quantum error correction is a technique that relies on the principle of redundancy to encode logical information in additional qubits to better protect the system against noise, and is required in order to design a viable quantum computer. One of the most popular classes of quantum error-correcting codes are topological stabilizer codes, where the logical errors correspond to strings extended between boundaries and which use repeated local measurements to detect and correct errors on the code.

In this talk, I will present a novel topological stabilizer code, the XYZ^2 code, which is implemented on a hexagonal grid of qubits and encodes a logical qubit with the help of weight-six and weight-two stabilizer  measurements. This code demonstrates high thresholds and reduced logical failure rates for biased noise error models simulated under perfect stabilizer measurement conditions. The XYZ^2 code is equivalent to a concatenation of a low-level two-qubit error detection code, and a high-level YZZY-type surface code. We use the concatenated structure of the code to decode syndrome information using a two-level matching decoder, which can also incorporate errors on the measurement qubits.


Wednesday, March 15th, 2023

4:00 p.m. in the Physics Reading Room (3035)


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