Operations and measurements. II
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
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?
Without error corrections, the effect of noise will accumulate and ruin the entire computation.
“Without error corrections, the effect of noise will accumulate and ruin the entire computation[72, 17, 54, 52, 7], and hence the computation must be protected.”
From Fault-Tolerant Quantum Computation with Constant Error Rate (2008) · cites this paper as [72]
Cites
Riesz, F. (1955) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,957 · see citing works
Les algèbres d'opérateurs dans l'espace Hilbertien (algèbres de von Neumann)
Dixmier, J. (1957) · CERN Document Server (European Organization for Nuclear Research) · Cited by 321 · see citing works
Postulates of Quantum Field Theory
Haag, R., & Schroer, B. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1703797 · Cited by 199 · see citing works
Von Neumann Algebras of Local Observables for Free Scalar Field
Araki, H. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704063 · Cited by 138 · see citing works
Pure operations and measurements
Hellwig, K. E., & Kraus, K. (1969) · Communications in Mathematical Physics · doi:10.1007/bf01645807 · Cited by 121 · see citing works
Self-citationSchlieder, S. (1968) · Communications in Mathematical Physics · doi:10.1007/bf01646663 · Cited by 37 · see citing works
Licht, A. L. (1966) · Journal of Mathematical Physics · doi:10.1063/1.1705079 · Cited by 20 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Measures and dynamics of entangled states
Mintert, F., Carvalho, A. R. R., Kuś, M., & Buchleitner, A. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.04.006 · Cited by 420 · see citing works
- Authors
- Hellwig, K. E., & Kraus, K.
- Affiliations
- Philipps University of Marburg (DE)
- Venue
- Communications in Mathematical Physics
- Published
- 1970-06
- Volume
- 16
- Issue
- 2
- Pages
- 142-147
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W1990234127
- Cited by
- 143
- References
- 7
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 10 · 2023: 27 · 2022: 4 · 2021: 3 · 2020: 5 · 2018: 2 · 2017: 3 · 2016: 1 · 2015: 2 · 2014: 8 · 2013: 4 · 2012: 2
- FWCI
- 1.32
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum operations, local field theory, quantum measurement, quantum statistical mechanics
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 ›
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