Authors: Diego Ruiz, Jérémie Guillaud, Anthony Leverrier, Mazyar Mirrahimi, Christophe Vuillot

Published on: January 17, 2024

Impact Score: 8.45

Arxiv code: Arxiv:2401.09541

Summary

• What is new: This research introduces a novel architecture that combines cat qubits with classical low-density parity-check (LDPC) codes for quantum computing, reducing the need for advanced, hard-to-implement technologies.
• Why this is important: Current quantum computing architectures require complex technologies that are difficult to implement, such as long-range qubit connectivity and multi-layered chip layouts.
• What the research proposes: The proposed solution uses cat qubits concatenated in classical LDPC codes that correct for phase-flips, allowing for the use of short-range qubit interactions and low-weight stabilizers.
• Results: The research found codes with a cellular automaton structure that offer high encoding rates. Using these codes, 100 logical qubits can be encoded with a very low error rate on a 758 cat qubit chip.

Technical Details

Technological frameworks used: Quantum low-density parity-check (qLDPC) codes, cat qubits, classical LDPC codes

Models used: Cellular automaton structure, brute force optimisation

Data used: Algorithmically relevant code distances, circuit-level noise performance

Potential Impact

Quantum computing, specifically companies working on fault-tolerant quantum computing architectures and those developing superconducting circuit technologies.

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