Fehlertolerante Logische Pauli-Messungen für Qldpc-Codes

Details

Veröffentlichungs-Nr.

EP4718344

Anmeldetag

24. September 2025

Veröffentlichung

1. April 2026

Rechtsraum

EP

IPC

G06N10/70

Abstract

A method of performing fault-tolerant homological measurements on a quantum computer for quantum error correction. A quantum code is defined by a first check matrix of a first Pauli type, and a second check matrix of a second Pauli type. The hypergraph state of the quantum code is generated to determine a chain map with a first and a second component along with a first and a second linear transformation that provides mapping between a first chain complex derived from the check matrices to a second chain complex. The chain map and the linear transformations enable the determination of updated check matrices, where a homological measurement on the updated matrices is equivalent to or obtains the same results as performing the measurement on the original check matrices. Ancillary qubits may be prepared on a quantum computer based on the party checks of the updated check matrices to enable homological measurements.

Anmelder

Firma

Xanadu Quantum Technologies Inc.

Land

🇨🇦 Kanada

Fachgebiete