Fetching the paper…
Reading the bibliography…
Quantum key distribution (QKD) offers the promise of absolutely secure communications.
A. S. Holevo, Probl. Inform. Transm. 9
1973
Earlier work this paper cites.
C. H. Bennett, and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing
1984
Earlier work this paper cites.
A. Ekert, Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
H.-K. Lo and H. F. Chau, Science 283
1999
Earlier work this paper cites.
M. Hillery, Phys. Rev. A 61
2000
Earlier work this paper cites.
N. J. Cerf, M. Lévy, and G. Van Assche, Phys. Rev. A 63
2001
Earlier work this paper cites.
N. Gisin, et al
2002
Earlier work this paper cites.
E. Biham, B. Huttner and T. Mor, Phys. Rev. A 54
2002
Cited alongside, same era.
F. Grosshans, et al
2003
Cited alongside, same era.
A. M. Lance, et al
2005
Cited alongside, same era.
I. Devetak and A. Winter, Proc. R. Soc. Lond. A 461
2005
Cited alongside, same era.
T. M. Cover and J. A. Thomas, (John Wiley and Sons, Hoboken, New Jersey, 2006) p. 35
2006
Cited alongside, same era.
SECOQC, 2007, http://www.secoqc.net
2007
Cited alongside, same era.
Summing over l l , we have a completely positive trace preserving (CPTP) map
Cited in the paper.
V. Scarani, et al
2009
Later among the works it cites.
N. Lütkenhaus and A. J. Shields, New J. Phys. 11
2009
Later among the works it cites.
D. Mayers and A. Yao, Quantum Inform. Comput. 4
2010
Later among the works it cites.
B. Qi, et al
2011
Closest in time.
C. Weedbrook, S. Pirandola, R. G. Patron, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Rev. Mod. Phys. 84
2012
Closest in time.
S. Barz et al
2012
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Equivalently, we can adopt the EHS representation (see Supplementary Material for details), where the ensemble ℰ B \mathcal{E}_{B} and the stochastic variables X X and L ′ L^{\prime} are described by a unique classical-quantum state ρ 𝐗𝐋 ′ B = ∑ x , l ′ p ( x , l ′ ) | x ⟩ ⟨ x | 𝐗 ⊗ | l ′ ⟩ ⟨ l ′ | 𝐋 ′ ⊗ ρ B ( x , l ) \rho_{\mathbf{XL}^{\prime}B}=\sum_{x,l^{\prime}}p(x,l^{\prime})\left|x\right\rangle\left\langle x\right|_{\mathbf{X}}\otimes\left|l^{\prime}\right\rangle\left\langle l^{\prime}\right|_{\mathbf{L}^{\prime}}\otimes\rho_{B}(x,l) . The Holevo quantity of Eq. ( 17
Cited in the paper.
Equivalently, we can consider the classical-quantum state ρ 𝐗𝐋 E = ∑ x , l p ( x , l ) | x ⟩ ⟨ x | 𝐗 ⊗ | l ⟩ ⟨ l | 𝐋 ⊗ ρ E ( x , l ) \rho_{\mathbf{XL}E}=\sum_{x,l}p(x,l)\left|x\right\rangle\left\langle x\right|_{\mathbf{X}}\otimes\left|l\right\rangle\left\langle l\right|_{\mathbf{L}}\otimes\rho_{E}(x,l) , and compute I ( 𝐗 : E | 𝐋 ) = I ( X : E | L ) I(\mathbf{X}:E|\mathbf{L})=I(X:E|L)
Cited in the paper.
Note that the EHS representation has been mainly introduced to give the correct interpretation to the definition of γ \gamma , where a quantum system E E conditions a classical variable X X thanks to the embedding in a quantum system 𝐗 \mathbf{X}
Cited in the paper.