Fetching the paper…
Reading the bibliography…
We consider the image of some classes of bipartite quantum states under a tensor product of random quantum channels.
P. W. Shor, “Equivalence of additivity questions in quantum information theory”, Comm. Math. Phys. 246
2004
Earlier work this paper cites.
Holevo, A. S. “On complementary channels and the additivity problem”, Probab. Theory and Appl., 51
2005
Earlier work this paper cites.
M. Fukuda, “Simplification of additivity conjecture in quantum information theory”, Quant. Info. Proc
2007
Earlier work this paper cites.
M. Fukuda, M. M. Wolf, “Simplifying additivity problems using direct sum constructions”, J. Math. Phys
2007
Cited alongside, same era.
C. King, K. Matsumoto, M. Nathanson, M. B. Ruskai, “Properties of Conjugate Channels with Applications to Additivity and Multiplicativity”, Markov Processes and Related Fields, volume 13
2007
Cited alongside, same era.
Cited in the paper.
Collins, B. Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability
Cited in the paper.
Collins, B. and Nechita, I. Gaussianization and eigenvalue statistics for Random quantum channels (III)
Cited in the paper.
Collins, B. and Nechita, I. Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels
Cited in the paper.
Collins, B., Nechita, I.; Życzkowski, K. Random graph states, maximal flow and Fuss-Catalan distributions
Cited in the paper.
Collins, B. and Śniady, P. Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
Cited in the paper.
Fukuda, M. and King, C. Entanglement of random subspaces via the Hastings bound
Cited in the paper.
Fukuda, M., King, C. and Moser, D. Comments on Hastings’ Additivity Counterexamples
Cited in the paper.
Hastings, M.B. Superadditivity of communication capacity using entangled inputs
Cited in the paper.
Hayden, P. and Winter, A. Counterexamples to the maximal p-norm multiplicativity conjecture for all p > 1 p>1
Cited in the paper.
Collins, B. and Nechita, I. Random quantum channels I: Graphical calculus and the Bell state phenomenon
2010
Later among the works it cites.
Collins, B. and Nechita, I. Random quantum channels II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems
2011
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…