Harrington, Jim and Preskill, John (2001) Achievable rates for the Gaussian quantum channel. Physical Review A, 64 (6). Art. No. 062301. ISSN 1050-2947. https://resolver.caltech.edu/CaltechAUTHORS:HARpra01
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Abstract
We study the properties of quantum stabilizer codes that embed a finite-dimensional protected code space in an infinite-dimensional Hilbert space. The stabilizer group of such a code is associated with a symplectically integral lattice in the phase space of 2N canonical variables. From the existence of symplectically integral lattices with suitable properties, we infer a lower bound on the quantum capacity of the Gaussian quantum channel that matches the one-shot coherent information optimized over Gaussian input states.
| Item Type: | Article | ||||||
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| Additional Information: | ©2001 The American Physical Society. Received 17 May 2001; published 8 November 2001. We thank Dave Beckman, Anne-Marie Berge, Bob McEliece, Michael Postol, Eric Rains, Peter Shor, and Edward Witten for helpful discussions and correspondence. This work was supported in part by the Department of Energy under Grant No. DE-FG03-92-ER40701, by the National Science Foundation under Grant No. EIA-0086038, and by the Caltech MURI Center for Quantum Networks under ARO Grant No. DAAD19-00-1-0374. | ||||||
| Subject Keywords: | ERROR-CORRECTING CODES; CAPACITY | ||||||
| Issue or Number: | 6 | ||||||
| Record Number: | CaltechAUTHORS:HARpra01 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:HARpra01 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 4333 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 21 Aug 2006 | ||||||
| Last Modified: | 02 Oct 2019 23:12 |
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