The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Demonstration of a quantum error detection code using a square lattice of four superconducting qubits
Open accessAbstract
The ability to detect and deal with errors when manipulating quantum systems is a fundamental requirement for fault-tolerant quantum computing. Unlike classical bits that are subject to only digital bit-flip errors, quantum bits are susceptible to a much larger spectrum of errors, for which any complete quantum error-correcting code must account. Whilst classical bit-flip detection can be realized via a linear array of qubits, a general fault-tolerant quantum error-correcting code requires extending into a higher-dimensional lattice. Here we present a quantum error detection protocol on a two-by-two planar lattice of superconducting qubits. The protocol detects an arbitrary quantum error on an encoded two-qubit entangled state via quantum non-demolition parity measurements on another pair of error syndrome qubits. This result represents a building block towards larger lattices amenable to fault-tolerant quantum error correction architectures such as the surface code.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Theory of Error-Correcting Codes
(1977) · North-Holland Mathematical Library · doi:10.1016/s0924-6509(08)x7030-8 · Cited by 10,760
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Surface codes: Towards practical large-scale quantum computation
Fowler, A. G., Mariantoni, M., Martinis, J. M., & Cleland, A. N. (2012) · Physical Review A · doi:10.1103/physreva.86.032324 · Cited by 3,059
Dennis, E., Kitaev, A., Landahl, A., & Preskill, J. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1499754 · Cited by 1,768
Superconducting quantum circuits at the surface code threshold for fault tolerance
Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T. C., Mutus, J., Fowler, A. G., Campbell, B., et al. (2014) · Nature · doi:10.1038/nature13171 · Cited by 1,733
Dennis, E., Kitaev, A., Landahl, A., & Preskill, J. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,485
Paik, H., Schuster, D. I., Bishop, L. S., Kirchmair, G., Catelani, G., Sears, A. P., Johnson, B. R., Reagor, M. J., Frunzio, L., Glazman, L. I., et al. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.240501 · Cited by 1,054
State preservation by repetitive error detection in a superconducting quantum circuit
Kelly, J., Barends, R., Fowler, A. G., Megrant, A., Jeffrey, E., White, T. C., Sank, D., Mutus, J. Y., Campbell, B., Chen, Y., et al. (2015) · Nature · doi:10.1038/nature14270 · Cited by 916
Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits
Motzoi, F., Gambetta, J. M., Rebentrost, P., & Wilhelm, F. K. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.110501 · Cited by 814
Self-citationFault-Tolerant Quantum Computation with High Threshold in Two Dimensions
Raussendorf, R., & Harrington, J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.190504 · Cited by 812
Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits
Barends, R., Kelly, J., Megrant, A., Sank, D., Jeffrey, E., Chen, Y., Yin, Y., Chiaro, B., Mutus, J., Neill, C., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.080502 · Cited by 779
Stabilizer Codes and Quantum Error Correction
Gottesman, D. (1997) · arXiv · doi:10.48550/arxiv.quant-ph/9705052 · Cited by 753
Scalable and Robust Randomized Benchmarking of Quantum Processes
Magesan, E., Gambetta, J. M., & Emerson, J. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.180504 · Cited by 724
Self-citationRealization of three-qubit quantum error correction with superconducting circuits
Reed, M. D., DiCarlo, L., Nigg, S. E., Sun, L., Frunzio, L., Girvin, S. M., & Schoelkopf, R. J. (2012) · Nature · doi:10.1038/nature10786 · Cited by 585
Experimental Quantum Error Correction
Cory, D. G., Price, M. D., Maas, W., Knill, E., Laflamme, R., Zurek, W. H., Havel, T. F., & Somaroo, S. S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.2152 · Cited by 581
Realization of quantum error correction
Chiaverini, J., Leibfried, D., Schaetz, T., Barrett, M. D., Blakestad, R. B., Britton, J., Itano, W. M., Jost, J. D., Knill, E., Langer, C., et al. (2004) · Nature · doi:10.1038/nature03074 · Cited by 517
Quantum computations on a topologically encoded qubit
Nigg, D., Müller, M., Martinez, E. A., Schindler, P., Hennrich, M., Monz, T., Martin-Delgado, M. A., & Blatt, R. (2014) · Science · doi:10.1126/science.1253742 · Cited by 400
Quantum codes on a lattice with boundary
Bravyi, S. B., & Kitaev, A. Y. (1998) · arXiv · doi:10.48550/arxiv.quant-ph/9811052 · Cited by 394
Universal Quantum Gate Set Approaching Fault-Tolerant Thresholds with Superconducting Qubits
Chow, J. M., Gambetta, J. M., Córcoles, A. D., Merkel, S. T., Smolin, J. A., Rigetti, C., Poletto, S., Keefe, G. A., Rothwell, M. B., Rozen, J. R., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.060501 · Cited by 371
Self-citationAutonomously stabilized entanglement between two superconducting quantum bits
Shankar, S., Hatridge, M., Leghtas, Z., Sliwa, K. M., Narla, A., Vool, U., Girvin, S. M., Frunzio, L., Mirrahimi, M., & Devoret, M. H. (2013) · Nature · doi:10.1038/nature12802 · Cited by 366
Experimental Repetitive Quantum Error Correction
Schindler, P., Barreiro, J. T., Monz, T., Nebendahl, V., Nigg, D., Chwalla, M., Hennrich, M., & Blatt, R. (2011) · Science · doi:10.1126/science.1203329 · Cited by 356
Characterization of Addressability by Simultaneous Randomized Benchmarking
Gambetta, J. M., Córcoles, A. D., Merkel, S. T., Johnson, B. R., Smolin, J. A., Chow, J. M., Ryan, C. A., Rigetti, C., Poletto, S., Ohki, T. A., et al. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.240504 · Cited by 289
Self-citationImplementing a strand of a scalable fault-tolerant quantum computing fabric
Chow, J. M., Gambetta, J. M., Magesan, E., Abraham, D. W., Cross, A. W., Johnson, B. R., Masluk, N. A., Ryan, C. A., Smolin, J. A., Srinivasan, S. J., et al. (2014) · Nature Communications · doi:10.1038/ncomms5015 · Cited by 281
Self-citationSmolin, J. A., Gambetta, J. M., & Smith, G. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.070502 · Cited by 276
Self-citationDetecting bit-flip errors in a logical qubit using stabilizer measurements
Ristè, D., Poletto, S., Huang, M.-Z., Bruno, A., Vesterinen, V., Saira, O.-P., & DiCarlo, L. (2015) · Nature Communications · doi:10.1038/ncomms7983 · Cited by 262
Improved superconducting qubit coherence using titanium nitride
Chang, J. B., Vissers, M. R., Córcoles, A. D., Sandberg, M., Gao, J., Abraham, D. W., Chow, J. M., Gambetta, J. M., Beth Rothwell, M., Keefe, G. A., et al. (2013) · Applied Physics Letters · doi:10.1063/1.4813269 · Cited by 247
Self-citationProcess verification of two-qubit quantum gates by randomized benchmarking
Córcoles, A. D., Gambetta, J. M., Chow, J. M., Smolin, J. A., Ware, M., Strand, J., Plourde, B. L. T., & Steffen, M. (2013) · Physical Review A · doi:10.1103/physreva.87.030301 · Cited by 211
Self-citationHeralded State Preparation in a Superconducting Qubit
Johnson, J. E., Macklin, C., Slichter, D. H., Vijay, R., Weingarten, E. B., Clarke, J., & Siddiqi, I. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.050506 · Cited by 182
Initialization by Measurement of a Superconducting Quantum Bit Circuit
Ristè, D., van Leeuwen, J. G., Ku, H.-S., Lehnert, K. W., & DiCarlo, L. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.050507 · Cited by 178
Zhang, J., Laflamme, R., & Suter, D. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.100503 · Cited by 64
Entanglement Genesis by Ancilla-Based Parity Measurement in 2D Circuit QED
Saira, O.-P., Groen, J. P., Cramer, J., Meretska, M. L., de Lange, G., & DiCarlo, L. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.070502 · Cited by 63
Tomography via correlation of noisy measurement records
Ryan, C. A., Johnson, B., Gambetta, J., Chow, J. M., Silva, M. P. D., Dial, O., & Ohki, T. (2015) · Physical Review A · doi:10.1103/physreva.91.022118 · Cited by 62
Self-citationMoussa, O., Baugh, J., Ryan, C. A., & Laflamme, R. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.160501 · Cited by 51
Cited by
Quantum supremacy using a programmable superconducting processor
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J. C., Barends, R., Biswas, R., Boixo, S., Brandao, F. G. S. L., Buell, D. A., et al. (2019) · Nature · doi:10.1038/s41586-019-1666-5 · Cited by 7,720
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A., Mezzacapo, A., Temme, K., Takita, M., Brink, M., Chow, J. M., & Gambetta, J. M. (2017) · Nature · doi:10.1038/nature23879 · Cited by 2,982
Self-citationNoisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
Superconducting Qubits: Current State of Play
Kjaergaard, M., Schwartz, M. E., Braumüller, J., Krantz, P., Wang, J. I.-J., Gustavsson, S., & Oliver, W. D. (2020) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031119-050605 · Cited by 1,544
Extending the lifetime of a quantum bit with error correction in superconducting circuits
Ofek, N., Petrenko, A., Heeres, R., Reinhold, P., Leghtas, Z., Vlastakis, B., Liu, Y., Frunzio, L., Girvin, S. M., Jiang, L., et al. (2016) · Nature · doi:10.1038/nature18949 · Cited by 941
Metadata
- Authors
- Córcoles, A. D., Magesan, E., Srinivasan, S. J., Cross, A. W., Steffen, M., Gambetta, J. M., & Chow, J. M.
- Venue
- Nature Communications
- Published
- 2015-04-29
- Volume
- 6
- Issue
- 1
- Pages
- 6979-6979
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2092458348
- Cited by
- 490
- References
- 33
- FWCI
- 71.01
- Type
- journal article
- Language
- en
- Open access
- gold
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
