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Fault-tolerant quantum computation

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arxiv quant-ph/9712048 v1 pith:FWQLUOLI submitted 1997-12-19 quant-ph

classification quant-ph
keywords quantumerrorsinformationcomputationcomputingencodederrorinteractions
verification ladder T0 review T1 audit T2 compute T3 formal
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The discovery of quantum error correction has greatly improved the long-term prospects for quantum computing technology. Encoded quantum information can be protected from errors that arise due to uncontrolled interactions with the environment, or due to imperfect implementations of quantum logical operations. Recovery from errors can work effectively even if occasional mistakes occur during the recovery procedure. Furthermore, encoded quantum information can be processed without serious propagation of errors. In principle, an arbitrarily long quantum computation can be performed reliably, provided that the average probability of error per gate is less than a certain critical value, the accuracy threshold. It may be possible to incorporate intrinsic fault tolerance into the design of quantum computing hardware, perhaps by invoking topological Aharonov-Bohm interactions to process quantum information.

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Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Genuine Multipartite Entanglement between Logical Qubits via Cross-Code Lattice Surgery

    quant-ph 2026-07 accept novelty 7.5 of 10

    Cross-code lattice surgery between surface and 3D colour codes yields certified logical GHZ and |CCZ> GME plus arbitrary logical rotations on a trapped-ion processor.

  2. Analytic Approach to Quantum Control Using Quantum Signal Processing

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Maps qubit-oscillator quantum control problems to QSP to enable analytical design of operators that suppress cross-Kerr effects and selectively address Fock states.

  3. Multi-Stage Mamba-Based Architecture for Fast and Scalable Superconducting Qubit Readout

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Multi-stage Mamba discriminators reach 0.911 geometric-mean fidelity on multiplexed superconducting readout traces while cutting parameters ~50% and supporting 500 ns mid-circuit measurements.

  4. Protection of Exponential Operation using Stabilizer Codes in the Early Fault Tolerance Era

    quant-ph 2026-02 unverdicted novelty 6.0 of 10

    A new encoding scheme for exp(-iθP) into stabilizer codes like [[n,n-2,2]] and [[5,1,3]] achieves 4-7x lower noise than unencoded versions with at most 3% runs discarded after postselection.

  5. Exact and Efficient Stabilizer Simulation of Thermal-Relaxation Noise for Quantum Error Correction

    quant-ph 2025-12 unverdicted novelty 6.0 of 10

    An exact positive-probability decomposition of thermal relaxation noise into Clifford gates and resets exists for T2 ≤ T1, with a negativity-free approximation that outperforms Pauli twirling for T2 > T1.

  6. Rigorous estimation of error thresholds of transversal Clifford logical circuits

    quant-ph 2025-10 unverdicted novelty 6.0 of 10

    Generalizes stat-mech mapping from toric code memories to transversal Clifford circuits, mapping tCNOT to random Ashkin-Teller and 4-body Ising models and estimating reduced thresholds of p=0.080 and p>=0.028.

  7. Continuous operation of a coherent 3,000-qubit system

    quant-ph 2025-06 unverdicted novelty 6.0 of 10

    Demonstrates continuous high-rate reloading and coherent maintenance of a >3,000-atom neutral-atom qubit array for >2 hours using optical lattice conveyors without disturbing stored qubits.

  8. Quantum communication and fault-tolerance

    quant-ph 2024-12 conditional novelty 6.0 of 10

    The thesis proves that fault-tolerant encoder and decoder circuits can achieve entanglement-assisted communication rates close to the ideal capacity, and reports trapped-ion error-detection experiments plus a new boun...

  9. Circuit-Level Noise Estimation via Shuttling in Plaquette Circuits

    quant-ph 2026-06 unverdicted novelty 4.0 of 10

    A method is developed for estimating QEC circuit-level noise from single-shot surface code plaquette experiments in FRESH and RECYCLE configurations, tested on IonQ and IBM hardware.

  10. Awesome Quantum Computing Experiments: Benchmarking Experimental Progress Towards Fault-Tolerant Quantum Computation

    quant-ph 2025-07 conditional novelty 4.0 of 10

    Experimental quantum hardware metrics follow exponential trends with reported doubling or halving times of about one to six years across platforms.

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