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Understanding degenerate ground states of a protected quantum circuit in the presence of disorder

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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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Joshua Dempster, Bo Fu, David G. Ferguson, D. I. Schuster, Jens Koch

Quantum Physics · Submitted 28 Feb 2014

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

The authors' main claim We show that the ground state degeneracy is robust to disorder in charge, flux and critical current as well as insensitive to modest variations in the circuit parameters.

how it is stated · asserted 1.00 read the record →

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arXiv ID1402.7310 (version 1)
Pith IDZA52WR5L, Pith's permanent record of this paper and its review
CitationBo Fu, David G. Ferguson, D. I. Schuster, Jens Koch, Joshua Dempster. "Understanding degenerate ground states of a protected quantum circuit in the presence of disorder." arXiv:1402.7310 (2014). https://pith.science/paper/ZA52WR5L
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,303 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.27 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

A recent theoretical proposal suggests that a simple circuit utilizing two superinductors may produce a qubit with ground state degeneracy [P. Brooks et al., Phys. Rev. A 87, 052306 (2013)]. We perform a full circuit analysis along with exact diagonalization of the circuit Hamiltonian to elucidate the nature of the spectrum and low-lying wave functions of this $0-\pi$ device. We show that the ground state degeneracy is robust to disorder in charge, flux and critical current as well as insensitive to modest variations in the circuit parameters. Our treatment is non-perturbative, provides access to excited states and matrix elements, and is immediately applicable also to intermediate parameter regimes of experimental interest.

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 A recent theoretical proposal suggests that a simple circuit utilizing two superinductors may produce a qubit with ground state degeneracy [P. background 1.00 0.03 0.05 hedged possibility 1.00
s1 Brooks et al., Phys. Rev. A 87, 052306 (2013)]. background 1.00 0.03 0.02 unclear 0.94
s2 We perform a full circuit analysis along with exact diagonalization of the circuit Hamiltonian to elucidate the nature of the spectrum and low-lying wave functions of this $0-\pi$ device. method 0.89 0.96 0.07 asserted 0.86
s3 We show that the ground state degeneracy is robust to disorder in charge, flux and critical current as well as insensitive to modest variations in the circuit parameters. result 1.00 0.94 0.80 asserted 1.00
s4 Our treatment is non-perturbative, provides access to excited states and matrix elements, and is immediately applicable also to intermediate parameter regimes of experimental interest. contribution 0.61 0.91 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.67 · evidence from simulation or computation 0.96.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

A recent theoretical proposal suggests that a simple circuit utilizing two superinductors may produce a qubit with ground state degeneracy [P. Brooks et al., Phys. Rev. A 87, 052306 (2013)]. We perform a full circuit analysis along with exact diagonalization of the circuit Hamiltonian to elucidate the nature of the spectrum and low-lying wave functions of this $0-\pi$ device. We show that the ground state degeneracy is robust to disorder in charge, flux and critical current as well as insensitive to modest variations in the circuit parameters. Our treatment is non-perturbative, provides access to excited states and matrix elements, and is immediately applicable also to intermediate parameter regimes of experimental interest.

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How the literature uses it

2 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Cites it as background 1 paper
  • In the following, after a review of the basic features of the $0$-$π$ qubit [ref] , we shall make apparent that it presents an anomalous symmetry, which leads to degeneracy of the fundamental level for all values of design parameters of the model.

    Role of anomalous symmetry in 0-$\pi$ qubits · Superconducting circuit realisation · 0.94

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