Built on

C. E. Shannon, Bell System Tech. Jnl. 27
1948
Earlier work this paper cites.
C. E. Shannon, IRE Trans. Inform. Theory IT-2
1956
Earlier work this paper cites.
C. E. Shannon, R. G. Gallager, and E. R. Berlekamp, Inform. Contr. 10
1967
Earlier work this paper cites.
J. Körner and A. Orlitsky, IEEE Trans. Inform. Theory 44
1998
Earlier work this paper cites.
P. Hayden, D. W. Leung, and A. Winter, Comm. Math. Phys. 265
2006
Earlier work this paper cites.
R. Bhat, Int. J. Quant. Inf. 4
2006
Earlier work this paper cites.

Similar

G. Smith and J. Yard, Science 321
Original
2008
Cited alongside, same era.
A. J. Winter and P. Hayden, Comm. Math. Phys. 284
Original
2008
Cited alongside, same era.
T. Cubitt, A. W. Harrow, D. Leung, A. Montanaro, and A. Winter, Comm. Math. Phys. 284
Original
2008
Cited alongside, same era.
M. B. Hastings, Nature Physics 5
Original
2009
Cited alongside, same era.
K. Li, A. Winter, X. Zou, and G. Guo, arXiv:0903.4308 (2009)
Original
2009
Cited alongside, same era.
G. Smith and J. Smolin, arXiv:0904.4050 (2009)
Original
2009
Cited alongside, same era.
T. S. Cubitt, D. Leung, W. Matthews, and A. Winter, arXiv:1003.3195 (2010a), (to appear in IEEE Trans. Inform. Theory)
Original
Cited in the paper.
T. S. Cubitt, D. Leung, W. Matthews, and A. Winter, Phys. Rev. Lett. 104
Cited in the paper.
The Choi matrix of a map 𝒩 \mathcal{N} is σ A B = ( 𝒩 ⊗ 𝟙 ) ( | ω ⟩ ⟨ ω | ) \sigma_{AB}=(\mathcal{N}\otimes\mathbbm{1})(\mathinner{|\omega\rangle\langle\omega|}) , where | ω ⟩ = ∑ i | i ⟩ | i ⟩ / d \mathinner{|\omega\rangle}_{\hskip-0.81949pt}=\sum\displaylimits_{i}\mathinner{|i\rangle}_{\hskip-0.81949pt}\mathinner{|i\rangle}_{\hskip-0.81949pt}/\sqrt{d} and 𝟙 \mathbbm{1} is the identity map
Cited in the paper.
Ref [ 17 ] refers to channels, but the arguments extend to 𝒩 = ℰ ∗ ⊗ ℰ \mathcal{N}=\mathcal{E}^{*}\otimes\mathcal{E} , even if it is not a channel. But the arguments go through unchanged for arbitrary linear maps
Cited in the paper.
This is known as the Plücker embedding
Cited in the paper.
This is because if the zero set of a polynomial contains a set with non-empty interior, then by Taylor expansion that polynomial must be zero everywhere
Cited in the paper.

Then

R. Duan, arXiv:0906.2527 (2009)
Original
2009
Later among the works it cites.
T. S. Cubitt, J. Chen, and A. W. Harrow, (2009), arXiv:0906.2547
Original
2009
Later among the works it cites.
T. S. Cubitt and G. Smith, arXiv:0912.2737 (2009)
Original
2009
Later among the works it cites.
R. Duan, S. Severini, and A. Winter, (2010), arXiv:1002.2514
Original
2010
Later among the works it cites.
S. Beigi, Phys. Rev. A 82
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2011

Entanglement can completely defeat quantum noise

Chen, Jianxin, Cubitt, Toby S., Harrow, Aram W. et al.

Understand

We describe two quantum channels that individually cannot send any information, even classical, without some chance of decoding error.

But together a single use of each channel can send quantum information perfectly reliably.
This proves that the zero-error classical capacity exhibits superactivation, the extreme form of the superadditivity phenomenon in which entangled inputs allow communication over zero capacity channels.
But our result is stronger still, as it even allows zero-error quantum communication when the two channels are combined.