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Perfect quantum error correction coding in 24 laser pulses

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Samuel L. Braunstein, John A. Smolin

Quantum Physics · Submitted 29 Apr 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors.

how it is stated · asserted 1.00 read the record →

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arXiv IDquant-ph/9604036 (version 2)
Pith ID7K4ZGF7Y, Pith's permanent record of this paper and its review
CitationJohn A. Smolin, Samuel L. Braunstein. "Perfect quantum error correction coding in 24 laser pulses." arXiv:quant-ph/9604036 (1996). https://pith.science/paper/7K4ZGF7Y
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,856 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.47 · human participants 0.01 · controlled comparison 0.77 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.93 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. contribution 1.00 0.86 0.37 asserted 1.00
s1 The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. method 0.93 0.74 0.06 asserted 1.00
s2 An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. method 0.50 0.79 0.07 asserted 1.00
s3 A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. contribution 0.94 0.89 0.63 asserted 1.00
s4 In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. contribution 0.86 0.82 0.05 asserted 0.96
s5 The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion. result 1.00 0.90 0.17 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.99 · evidence from proof or derivation 0.80.

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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion.

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