scholarly journals Quantum Coding with Low-Depth Random Circuits

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Michael J. Gullans ◽  
Stefan Krastanov ◽  
David A. Huse ◽  
Liang Jiang ◽  
Steven T. Flammia
2015 ◽  
Vol 61 (1) ◽  
pp. 565-581 ◽  
Author(s):  
Alexander Muller-Hermes ◽  
David Reeb ◽  
Michael M. Wolf

2002 ◽  
Vol 49 (4) ◽  
pp. 496-511 ◽  
Author(s):  
Andris Ambainis ◽  
Ashwin Nayak ◽  
Amnon Ta-Shma ◽  
Umesh Vazirani

2004 ◽  
Vol 393 (4-6) ◽  
pp. 488-492 ◽  
Author(s):  
Petr Král ◽  
Moshe Shapiro

2008 ◽  
Vol 15 (01) ◽  
pp. 47-69 ◽  
Author(s):  
Michał Horodecki ◽  
Seth Lloyd ◽  
Andreas Winter

We prove direct quantum coding theorem for random quantum codes. The problem is separated into two parts: proof of distinguishability of codewords by receiver, and of indistinguishability of codewords by environment (privacy). For a large class of codes, only privacy has to be checked.


2008 ◽  
Vol 105 (32) ◽  
pp. 11050-11054 ◽  
Author(s):  
C.-Y. Lu ◽  
W.-B. Gao ◽  
J. Zhang ◽  
X.-Q. Zhou ◽  
T. Yang ◽  
...  
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