Rains, Eric M. (1999) Monotonicity of the quantum linear programming bound. IEEE Transactions on Information Theory, 45 (7). pp. 2489-2492. ISSN 0018-9448. doi:10.1109/18.796387. https://resolver.caltech.edu/CaltechAUTHORS:20170926-133944519
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Abstract
The most powerful technique known at present for bounding the size of quantum codes of prescribed minimum distance is the quantum linear programming bound. Unlike the classical linear programming bound, it is not immediately obvious that if the quantum linear programming constraints are satisfiable for dimension K, then the constraints can be satisfied for all lower dimensions. We show that the quantum linear programming bound is monotonic in this sense, and give an explicitly monotonic reformulation.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1999 IEEE. Manuscript received March 29, 1998; revised January 18, 1999. | ||||||||||||
| Subject Keywords: | Quantum codes linear programming | ||||||||||||
| Issue or Number: | 7 | ||||||||||||
| DOI: | 10.1109/18.796387 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170926-133944519 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170926-133944519 | ||||||||||||
| Official Citation: | E. M. Rains, "Monotonicity of the quantum linear programming bound," in IEEE Transactions on Information Theory, vol. 45, no. 7, pp. 2489-2492, Nov 1999. doi: 10.1109/18.796387 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=796387&isnumber=17296 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 81842 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 26 Sep 2017 20:46 | ||||||||||||
| Last Modified: | 15 Nov 2021 19:46 |
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