Volume 124, Number 6, December 2018
|Number of page(s)||7|
|Published online||10 January 2019|
Quantum communication protocols by quantum walks with two coins
1 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, China
2 NCMIS, MDIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing, 100190, China
3 School of Mathematical Sciences, University of Chinese Academy of Sciences-Beijing, 100049, China
4 Key Lab of IIP, Institute of Computing Technology, Chinese Academy of Sciences - Beijing, 100190, China
Received: 22 August 2018
Accepted: 6 December 2018
We introduce some new perfect state transfer and generalized long-distance teleportation schemes by quantum walks with two coins. By encoding the transferred information in the coin-1 state and alternately using two coin operators, we can perfectly recover the information in the coin-1 state at the target position by at most two flipping operations. On the basis of quantum walks with two coins on either a line or an N-circle, we can perfectly transfer any qubit state. In addition, using quantum walks with two coins on regular graphs, we can first implement a perfect qudit state transfer by quantum walks. Compared with existing schemes driven by one coin, more general graph structures can be used to perfectly transfer a more general state. We also study how to realize generalized teleportation over long-distance walks by the above quantum walk models.
PACS: 03.67.Ac – Quantum algorithms, protocols, and simulations / 03.67.Lx – Quantum computation architectures and implementations / 03.67.Hk – Quantum communication
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