Single-Shot Fault-Tolerant Quantum Error Correction

By H. Bombin. 2014

188 citations recorded by the source corpus.

Conventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios. Here I show that for suitable topological codes a single round of local measurements is enough. This feature is generic and is related to self-correction and confinement phenomena in the corresponding quantum Hamiltonian model. 3D gauge color codes exhibit this single-shot feature, which applies also to initialization and gauge-fixing. Assuming the time for efficient classical computations negligible, this yields a topological fault-tolerant quantum computing scheme where all elementary logical operations can be performed in constant time.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/9781bde3c4d63c50e2aed54247abd4dde64c6b25

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Harnessing the Power of the Second Quantum Revolution (2020, background): “The challenges are substantial but in principle possible and there is great progress being made every day in significant hardware improvements, advanced quantum codes, and techniques for fault tolerance such as ﬂag qubits [67], bosonic encoding [68], and single-shot error correction [69].”
The future of quantum computing with superconducting qubits (2022, background): “Certain LDPC codes have a favorable property known as single-shot error correction 53,54 .”