Fetching the paper…
Reading the bibliography…
It is known that random quantum channels exhibit significant violations of multiplicativity of maximum output p-norms for any p>1.
The absolute positive partial transpose property for random induced states, 2011
B. Collins, I. Nechita, and D. Ye · 1935
Earlier work this paper cites.
Jucys-Murphy elements and unitary matrix integrals
S. Matsumoto and J. Novak · 1992
Earlier work this paper cites.
An analog of the Harer-Zagier formula for unicellular bicolored maps
N. Adrianov · 1997
Earlier work this paper cites.
Some properties of crossings and partitions
P. Biane · 1997
Earlier work this paper cites.
On some additivity problems in quantum information theory, 2000
G. Amosov, A. Holevo, and R. Werner · 2000
Earlier work this paper cites.
On the multiplicativity conjecture for quantum channels
G. Amosov and A. Holevo · 2002
Earlier work this paper cites.
Counterexample to an additivity conjecture for output purity of quantum channels, 2002
R. Werner and A. Holevo · 2002
Earlier work this paper cites.
Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability
B. Collins · 2003
Earlier work this paper cites.
Quantum Merlin-Arthur proof systems: are multiple Merlins more helpful to Arthur?
H. Kobayashi, K. Matsumoto, and T. Yamakami · 2003
Earlier work this paper cites.
Equivalence of additivity questions in quantum information theory
P. W. Shor · 2004
Earlier work this paper cites.
Some new results and applications of additivity problem of quantum channel
Keiji Matsumoto · 2005
Earlier work this paper cites.
A digest on representation theory of the symmetric group, 2006
K. Audenaert · 2006
Earlier work this paper cites.
Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
B. Collins and P. Śniady · 2006
Cited alongside, same era.
Lectures on the combinatorics of free probability
A. Nica and R. Speicher · 2006
Cited alongside, same era.
The maximal p-norm multiplicativity conjecture is false, 2007
P. Hayden · 2007
Cited alongside, same era.
The maximum output p-norm of quantum channels is not multiplicative for any p > > 2, 2007
A. Winter · 2007
Cited alongside, same era.
Counterexamples to additivity of minimum output p p -Renyi entropy for p p close to 0
T. Cubitt, A. W. Harrow, D. Leung, A. Montanaro, and A. Winter · 2008
Cited alongside, same era.
Random quantum channels I: Graphical calculus and the Bell state phenomenon
B. Collins and I. Nechita · 2010
Later among the works it cites.
A. Grudka, M. Horodecki, and L. Pankowski · 2010
Later among the works it cites.
An efficient test for product states, with applications to quantum Merlin-Arthur games
A. Harrow and A. Montanaro · 2010
Later among the works it cites.
Unitary matrix integrals, primitive factorizations, and Jucys-Murphy elements
S. Matsumoto and J. Novak · 2010
Later among the works it cites.
Jucys-Murphy elements and the unitary Weingarten function
J. Novak · 2010
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Counterexamples to the maximal p-norm multiplicativity conjecture for all p > > 1
P. Hayden and A. Winter · 2008
Cited alongside, same era.
Entanglement of the antisymmetric state, 2009
M. Christandl, N. Schuch, and A. Winter · 2009
Cited alongside, same era.
Superadditivity of communication capacity using entangled inputs
M. B. Hastings · 2009
Cited alongside, same era.
Partial transposition of random states and non-centered semicircular distributions, 2010
G. Aubrun · 2010
Cited alongside, same era.
Non-additivity of Renyi entropy and Dvoretzky’s theorem
G. Aubrun, S. Szarek, and E. Werner · 2010
Cited alongside, same era.
Highly entangled states with almost no secrecy
M. Christandl, N. Schuch, and A. Winter · 2010
Cited alongside, same era.
Eigenvalue and entropy statistics for products of conjugate random quantum channels
B. Collins and I. Nechita · 2010
Cited alongside, same era.
Later among the works it cites.
Hastings’ additivity counterexample via Dvoretzky’s theorem
G. Aubrun, S. Szarek, and E. Werner · 2011
Closest in time.
Asymptotic eigenvalue distributions of block-transposed Wishart matrices, 2011
T. Banica and I. Nechita · 2011
Closest in time.
Towards a state minimizing the output entropy of a tensor product of random quantum channels, 2011
B. Collins, M. Fukuda, and I. Nechita · 2011
Closest in time.
Gaussianization and eigenvalue statistics for random quantum channels (III)
B. Collins and I. Nechita · 2011
Closest in time.
B. Collins and I. Nechita · 2011
Closest in time.
Matrix product states, random matrix theory and the principle of maximum entropy, 2012
B. Collins, C. González-Guillén, and David Pérez-García · 2012
Closest in time.
Permutations are sort of orthogonal, 2012
A. Harrow · 2012
Closest in time.