Multivariate trace inequalities
- Submitting institution
-
Imperial College of Science, Technology and Medicine
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 2304
- Type
- D - Journal article
- DOI
-
10.1007/s00220-016-2778-5
- Title of journal
- Communications in Mathematical Physics
- Article number
- -
- First page
- 37
- Volume
- 352
- Issue
- 1
- ISSN
- 0010-3616
- Open access status
- Compliant
- Month of publication
- October
- Year of publication
- 2016
- URL
-
-
- Supplementary information
-
10.1007/s00220-016-2778-5
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
2
- Research group(s)
-
-
- Citation count
- 25
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Solves a long-standing mathematical physics open problem, resulting in the first conceptual progress on mathematics of quantum entropy since the 1970s. The technical ideas were termed "brilliant" by Elliot Lieb, Princeton (report available). The result is the foundation of Sutter's book “Approximate Quantum Markov Chains“ (arxiv.org/pdf/1802.05477.pdf). Papers based on our work were presented at STOC'18 (https://doi.org/10.1145/3188745.3188890) and EUROCRYPT'17 (https://doi.org10.1007/978-3-319-56617-7_13), correcting flawed previous work (FOCS'05; https://doi.org/10.1109/SFCS.2005.8). The paper was a contributed talk at QIP'17 (20%/200). It also led to Berta's invited presentation at the leading workshop in mathematical physics (QMATH'16) and ERC Starting Grant (QEntropy; €1.5M).
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
