Fetching the paper…
Reading the bibliography…
In this paper, Wielandt's inequality for classical channels is extended to quantum channels.
H. Wielandt, “Unzerlegbare, nicht negative Matrizen,” Mathematische Zeitschrift , vol. 52, no. 1, pp. 642–648, Dec 1950
1950
Earlier work this paper cites.
C. Shannon, “The zero error capacity of a noisy channel,” IRE Trans. Inform. Theory , vol. 2, no. 3, pp. 8–19, Sep 1956
1956
Earlier work this paper cites.
D. E. Evans and R. Hoegh-Krohn, “Spectral properties of positive maps on c*-algebras,” Journal of the London Mathematical Society , vol. s2-17, no. 2, pp. 345–355, Apr 1978
1978
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, “Valence bond ground states in isotropic quantum antiferromagnets,” Communications in Mathematical Physics , vol. 115, no. 3, pp. 477–528, Sep 1988
1988
Earlier work this paper cites.
R. A. Horn and C. R. Johnson, Topics in Matrix Analysis . Cambridge University Press, 1991
1991
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, “Finitely correlated states on quantum spin chains.” Commun. Math. Phys. , vol. 144, no. 3, pp. 443–490, 1992
1992
Earlier work this paper cites.
M. A. Fasoli, “Classification of nilpotent linear spaces in M(4; C),” Communications in Algebra , vol. 25, no. 6, pp. 1919 – 1932, 1997
1997
Earlier work this paper cites.
J. Korner and A. Orlitsky, “Zero-error information theory,” IEEE Trans. Inform. Theory , vol. 44, no. 6, pp. 2207–2229, Oct 1998
1998
Earlier work this paper cites.
G. Lindblad, “A general no-cloning theorem,” Letters in Mathematical Physics , vol. 47, no. 2, pp. 189–196, Jan 1999
1999
Earlier work this paper cites.
R. S. Varga, Matrix Iterative Analysis , ser. Springer Series in Computational Mathematics. Springer-Verlag Berlin Heidelberg, 2000, vol. 27
2000
Earlier work this paper cites.
J. Kempe, “Quantum random walks: an introductory overview,” Contemporary Physics , vol. 44, no. 4, pp. 307 – 327, 2003
2003
Cited alongside, same era.
J. L. R. Alfonsín, The Diophantine Frobenius Problem , ser. Oxford Lecture Series in Mathematics and its applications. Oxford University Press, 2005, vol. 30
2005
Cited alongside, same era.
R. A. C. Medeiros and F. M. de Assis, “Quantum zero-error capacity,” Int. J. Quant. Inf. , vol. 3, no. 1, pp. 135–139, 2005
2005
Cited alongside, same era.
F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, “Renormalization-group transformations on quantum states,” Phys. Rev. Lett. , vol. 94, no. 14, p. 140601, Apr 2005
2005
Cited alongside, same era.
C. Schön, E. Solano, F. Verstraete, J. I. Cirac, and M. M. Wolf, “Sequential generation of entangled multiqubit states,” Phys. Rev. Lett. , vol. 95, no. 11, p. 110503, Sep 2005
A. Ben-Aroya and A. Ta-Shma, “Quantum expanders and the quantum entropy difference problem,” 2007. [Online]. Available: http://arxiv.org/abs/quant-ph/0702129v3
2007
Later among the works it cites.
R. Duan and Y. Shi, “Entanglement between two uses of a noisy multipartite quantum channel enables perfect transmission of classical information,” Phys. Rev. Lett. , vol. 101, no. 2, p. 020501, Jul 2008
2008
Later among the works it cites.
F. Verstraete, V. Murg, and J. I. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Advances in Physics , vol. 57, no. 2, pp. 143 – 224, 2008
2008
Later among the works it cites.
D. Pérez-García, M. M. Wolf, M. Sanz, F. Verstraete, and J. I. Cirac, “String order and symmetries in quantum spin lattices,” Phys. Rev. Lett. , vol. 100, no. 16, p. 167202, Apr 2008
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
E. Seneta, Non-negative matrices and Markov chains , ser. Springer Series in Statistics. Springer-Verlag Berlin Heidelberg, 2006
2006
Cited alongside, same era.
D. Pérez-García, F. Verstraete, M. Wolf, and J. Cirac, “Matrix product state representations,” Quantum Inf. Comput. , vol. 7, p. 401, 2007
2007
Cited alongside, same era.
2007
Cited alongside, same era.
M. B. Hastings, “An area law for one-dimensional quantum systems,” Journal of Statistical Mechanics: Theory and Experiment , vol. 2007, no. 08, p. P08024, 2007
2007
Cited alongside, same era.
L. Lamata, J. León, D. Pérez-García, D. Salgado, and E. Solano, “Sequential implementation of global quantum operations,” Phys. Rev. Lett. , vol. 101, no. 18, p. 180506, Oct 2008
2008
Later among the works it cites.
2009
Closest in time.
2009
Closest in time.
M. Sanz, M. M. Wolf, D. Pérez-García, and J. I. Cirac, “Matrix product states: Symmetries and two-body hamiltonians,” Phys. Rev. A , vol. 79, no. 4, p. 042308, Apr 2009
2009
Closest in time.