Markus Grassl, Peter W. Shor, et al.
IEEE Trans. Inf. Theory
Communication over a noisy quantum channel introduces errors in the transmission that must be corrected. A fundamental bound on quantum error correction is the quantum capacity, which quantifies the amount of quantum data that can be protected. We show theoretically that two quantum channels, each with a transmission capacity of zero, can have a nonzero capacity when used together. This unveils a rich structure in the theory of quantum communications, implying that the quantum capacity does not completely specify a channel's ability to transmit quantum information.
Markus Grassl, Peter W. Shor, et al.
IEEE Trans. Inf. Theory
Graeme Smith, John A. Smolin
Physical Review Letters
Markus Grassl, Peter Shor, et al.
ISIT 2012
Toby S. Cubitt, Graeme Smith
IEEE Trans. Inf. Theory