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Cleaner magic states with hook injection

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arxiv 2302.12292 v1 pith:W4C3GJXF submitted 2023-02-23 quant-ph

classification quant-ph
keywords stateserrorhookinjectionmagicplaneachievingapproach
verification ladder T0 review T1 audit T2 compute T3 formal

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In this paper, I show how an intentional hook error mechanism can be used as a control knob for injecting magic states into surface codes. The limitation, and benefit, of this approach is that it can only inject states in the XY or YZ plane of the Bloch sphere. This increases fidelity, because perturbations out of the target plane can be detected as errors. I use Monte Carlo sampling to show that this technique outperforms previous injection techniques, achieving lower error rates at smaller spacetime cost under digitized circuit noise.

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Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 8 citations worldwide. Full citation record

  1. Unfolded distillation: very low-cost magic state preparation for biased-noise qubits

    quant-ph 2025-07 conditional novelty 7.0 of 10

    Unfolded distillation prepares an |X^{1/4}> magic state with logical error 3e-7 using 53 biased-noise qubits and 5.5 rounds, by unfolding the 3D Reed-Muller X-stabilizers into a 2D layout.

  2. Transversal Surface-Code Game Powered by Neutral Atoms

    quant-ph 2025-06 conditional novelty 7.0 of 10

    A transversal surface-code game framework for neutral-atom FTQC that allows syndrome extraction at any step and yields a resource estimate of about 76,000 physical qubits and 3.4 hours for a 100-logical-qubit, 10^8 T-...

  3. Constant-Overhead Magic State Injection into qLDPC Codes with Error Independence Guarantees

    quant-ph 2025-05 conditional novelty 7.0 of 10

    A code surgery protocol injects magic states into many logical qubits of qLDPC codes with constant qubit overhead, O~(d^2) time, and an error independence guarantee.

  4. Efficient certification of intractable quantum states with few Pauli measurements

    quant-ph 2025-11 reject novelty 6.0 of 10

    The paper claims Clifford-enhanced product states can be certified with O(n^2/epsilon^2) Pauli measurements in the i.i.d. setting and polynomially many in the adversarial setting, but the central estimator is derived ...

  5. Controller-decoder system requirements derived by implementing Shor's algorithm with surface code

    quant-ph 2024-11 conditional novelty 5.0 of 10

    Running a non-Clifford surface-code circuit requires controller-decoder latency of tens of microseconds and parallel decoding tasks; a 1000-qubit, 0.1%-error processor could factor 21 with over 90% logical fidelity.

  6. Pauli webs spun by transversal $|Y\rangle$ state initialisation

    quant-ph 2025-02 conditional novelty 3.0 of 10

    A diagrammatic verification, using Pauli webs, that the CCLP fold-transversal S gate maps the logical X correlator to the logical Y correlator.

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