# David W. Kribs

## D-Index & Metrics

Discipline name D-index Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 2,962 106 World Ranking 2142 National Ranking 94

## What is he best known for?

### The fields of study he is best known for:

• Quantum mechanics
• Hilbert space
• Algebra

David W. Kribs spends much of his time researching Quantum error correction, Quantum capacity, Quantum information, Quantum operation and Quantum channel. His Quantum error correction research includes themes of Numerical range, Rank, Algebra, Hilbert space and Error detection and correction. The study incorporates disciplines such as Operator algebra and Quantum computer, Quantum in addition to Error detection and correction.

Quantum information is closely attributed to Completely positive map in his work. His research in Quantum operation intersects with topics in Quantum state and Quantum algorithm. His Quantum state study deals with Quantum convolutional code intersecting with Pure mathematics.

### His most cited work include:

• Unified and generalized approach to quantum error correction (192 citations)
• Unified and generalized approach to quantum error correction (192 citations)
• Operator quantum error correction (110 citations)

## What are the main themes of his work throughout his whole career to date?

His primary areas of study are Quantum error correction, Quantum, Pure mathematics, Quantum information and Algebra. David W. Kribs has researched Quantum error correction in several fields, including Quantum channel, Error detection and correction and Quantum capacity, Quantum operation. His Quantum capacity research incorporates themes from Algorithm and Quantum convolutional code.

His study in Quantum operation is interdisciplinary in nature, drawing from both Quantum network and Quantum algorithm. His work in Pure mathematics addresses subjects such as Discrete mathematics, which are connected to disciplines such as Combinatorics. David W. Kribs interconnects Operator, Norm, Quantum state, LOCC and Quantum information science in the investigation of issues within Quantum information.

### He most often published in these fields:

• Quantum error correction (64.21%)
• Quantum (58.95%)
• Pure mathematics (47.89%)

## What were the highlights of his more recent work (between 2016-2021)?

• Quantum (58.95%)
• Operator algebra (28.42%)
• LOCC (16.32%)

### In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Quantum, Operator algebra, LOCC, Pure mathematics and Algebra. His Quantum research is multidisciplinary, incorporating elements of Theoretical physics, Statistical physics and Complementarity. His work deals with themes such as Quantum information and Quantum error correction, which intersect with LOCC.

David W. Kribs has included themes like Characterization, Quantum information science and Orthogonality in his Quantum information study. His Quantum error correction research is multidisciplinary, incorporating perspectives in Quantum channel, Pauli exclusion principle, Coding theory, Bell state and Error detection and correction. His Algebra research includes elements of Graph theory and Qubit.

### Between 2016 and 2021, his most popular works were:

• Quantum privacy and Schur product channels (9 citations)
• Quantum privacy and Schur product channels (9 citations)
• Operator structures and quantum one-way LOCC conditions (9 citations)

## In his most recent research, the most cited papers focused on:

• Quantum mechanics
• Algebra
• Hilbert space

The scientist’s investigation covers issues in Quantum, Operator algebra, LOCC, Statistical physics and Quantum technology. His Quantum study incorporates themes from Theoretical physics, Complementarity, Connection and Linear subspace. His Operator algebra research is under the purview of Algebra.

His research in LOCC intersects with topics in Pure mathematics, Quantum teleportation, Quantum information, Operator and Quantum information science. David W. Kribs has researched Statistical physics in several fields, including Operator theory, Error detection and correction and Quantum error correction. David W. Kribs combines subjects such as Pseudorandom number generator, Pseudorandomness, Coherence, Physical system and Quantum indeterminacy with his study of Quantum technology.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

## Best Publications

Unified and generalized approach to quantum error correction

David Kribs;David Kribs;Raymond Laflamme;David Poulin.
Physical Review Letters (2005)

292 Citations

Operator quantum error correction

David W. Kribs;Raymond Laflamme;David Poulin;Maia Lesosky.
Quantum Information & Computation (2006)

150 Citations

Free Semigroupoid Algebras

David W. Kribs;Stephen C. Power.
arXiv: Operator Algebras (2003)

148 Citations

QUANTUM CHANNELS, WAVELETS, DILATIONS AND REPRESENTATIONS OF $\mathcal{O}_{n}$

David W. Kribs.
Proceedings of the Edinburgh Mathematical Society (Series 2) (2003)

129 Citations

Geometry of higher-rank numerical ranges

Man-Duen Choi;Michael Giesinger;John A. Holbrook;David W. Kribs.
Linear & Multilinear Algebra (2008)

108 Citations

Higher-rank numerical ranges and compression problems

Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski.
Linear Algebra and its Applications (2006)

104 Citations

Quantum error correcting codes from the compression formalism

Man-Duen Choi;David W. Kribs;David W. Kribs;Karol Życzkowski;Karol Życzkowski;Karol Życzkowski.
Reports on Mathematical Physics (2006)

92 Citations

Generalization of quantum error correction via the Heisenberg picture.

Cédric Bény;Achim Kempf;David W. Kribs;David W. Kribs.
Physical Review Letters (2007)

80 Citations

IDEAL STRUCTURE IN FREE SEMIGROUPOID ALGEBRAS FROM DIRECTED GRAPHS

Michael T. Jury;David W. Kribs.
arXiv: Operator Algebras (2003)

76 Citations

Isomorphisms of algebras associated with directed graphs

Elias Katsoulis;David W. Kribs.
Mathematische Annalen (2004)

70 Citations

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