講演抄録/キーワード |
講演名 |
2009-04-17 16:05
General Scheme for Perfect Quantum Network Coding with Free Classical Communication Hirotada Kobayashi(NII/ERATO-SORST)・○Francois Le Gall(JST)・Harumichi Nishimura(Osaka Pref. Univ.)・Martin Roetteler(NEC Lab. America) COMP2009-8 |
抄録 |
(和) |
(まだ登録されていません) |
(英) |
This paper considers the problem of efficiently transmitting quantum states through a network. It has been known for some time that without additional assumptions it is impossible to achieve this task perfectly in general --- indeed, it is impossible even for the simple butterfly network. As additional resource we allow free classical communication between any pair of network nodes. We show that perfect quantum network coding is achievable in this model whenever classical network coding is possible over the same network when replacing all quantum capacities by classical capacities. More precisely, we demonstrate that perfect quantum network coding using free classical communication is possible over a network with $k$ source-target pairs if there exists a classical linear (or even vector-linear) coding scheme over a finite ring.
Our proof is constructive in that we give explicit quantum coding operations for each network node. We also give an upper bound on the number of classical communication required
in terms of $k$, the maximal fan-in of any network node, and the size of the network. |
キーワード |
(和) |
/ / / / / / / |
(英) |
Network coding / Quantum computing / / / / / / |
文献情報 |
信学技報, vol. 109, no. 9, COMP2009-8, pp. 51-58, 2009年4月. |
資料番号 |
COMP2009-8 |
発行日 |
2009-04-10 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
PDFダウンロード |
COMP2009-8 |