Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 57, Issue 12, Pages 8114-8126Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2011.2169109
Keywords
Additivity violation; channel coding; communication channels; information rates; quantum theory; superactivation; zero-error capacity
Funding
- Leverhulme early-career fellowship
- China Scholarship Council
- U.K. EPSRC
- EC [IST-2005-15848]
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The zero-error classical capacity of a quantum channel is the asymptotic rate at which it can be used to send classical bits perfectly so that they can be decoded with zero probability of error. We show that there exist pairs of quantum channels, neither of which individually have any zero-error capacity whatsoever (even if arbitrarily many uses of the channels are available), but such that access to even a single copy of both channels allows classical information to be sent perfectly reliably. In other words, we prove that the zero-error classical capacity can be superactivated. This result is the first example of superactivation of a classical capacity of a quantum channel.
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