The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Robustness of quantum gates in the presence of noise
Open accessAbstract
We define several quantitative measures of the robustness of a quantum gate against noise. Exact analytic expressions for the robustness against depolarizing noise are obtained for all bipartite unitary quantum gates, and it is found that the controlled-NOT gate is the most robust two-qubit quantum gate, in the sense that it is the quantum gate which can tolerate the most depolarizing noise and still generate entanglement. Our results enable us to place several analytic upper bounds on the value of the threshold for quantum computation, with the best bound in the most pessimistic error model being ${p}_{\mathrm{th}}<~0.5.$
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.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“At criticality, this entropy scales as c/ 6 log( L/π sin( lπ/L ))+ A [188-190].”
From Can one trust quantum simulators? (2012) · cites this paper as [190]
In the citing paper
“For systems with open boundary conditions, a fit to c/ 6 log( L/π sin( lπ/L ))+ A (excluding small values of l ) yields the effective central charge c [188-190].”
From Can one trust quantum simulators? (2012) · cites this paper as [190]
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
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Self-citationSeparability Criterion for Density Matrices
Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
Scheme for reducing decoherence in quantum computer memory
Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479
Elementary gates for quantum computation
Barenco, A., Bennett, C. H., Cleve, R., DiVincenzo, D. P., Margolus, N., Shor, P., Sleator, T., Smolin, J. A., & Weinfurter, H. (1995) · Physical Review A · doi:10.1103/physreva.52.3457 · Cited by 4,311
Vedral, V., Plenio, M. B., Rippin, M. A., & Knight, P. L. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2275 · Cited by 1,967
Multiple-particle interference and quantum error correction
(1996) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1996.0136 · Cited by 1,284
Quantum nonlocality without entanglement
Bennett, C. H., Divincenzo, D. P., Fuchs, C. A., Mor, T., Rains, E. M., Shor, P. W., Smolin, J. A., & Wootters, W. K. (1999) · Physical Review A · doi:10.1103/physreva.59.1070 · Cited by 1,168
Preskill, J. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0167 · Cited by 994
General teleportation channel, singlet fraction, and quasidistillation
Horodecki, M., Horodecki, P., & Horodecki, R. (1999) · Physical Review A · doi:10.1103/physreva.60.1888 · Cited by 965
Prescription for experimental determination of the dynamics of a quantum black box
Chuang, I. L., & Nielsen, M. A. (1997) · Journal of Modern Optics · doi:10.1080/09500349708231894 · Cited by 949
Self-citation
Research works printed but not linked: 1
- A. Jamiolkowski, 1972, Rev. Mod. Phys., 3, 275
Cited by
Sorted by citations
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Chitambar, E., & Gour, G. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.025001 · Cited by 1,442
Quantum computing with realistically noisy devices
Knill, E. (2005) · Nature · doi:10.1038/nature03350 · Cited by 1,184
Necessary and Sufficient Quantum Information Characterization of Einstein-Podolsky-Rosen Steering
Piani, M., & Watrous, J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.060404 · Cited by 474
Metadata
- Authors
- Harrow, A. W., & Nielsen, M. A.
- Affiliations
- The University of Queensland (AU)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-07-11
- Volume
- 68
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1545271014
- Cited by
- 164
- References
- 23
- Citations by year
- 2026: 10 · 2025: 13 · 2024: 10 · 2023: 10 · 2022: 9 · 2021: 10 · 2020: 6 · 2019: 10 · 2018: 5 · 2017: 4 · 2016: 2 · 2015: 3 · 2014: 5 · 2013: 3 · 2012: 3
- FWCI
- 7.07
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- depolarizing noise, CNOT gate, two-qubit gates, entanglement generation, noise immunity
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
