Fetching the paper…
Reading the bibliography…
We present a new example of a partial boolean function whose one-way quantum communication complexity is exponentially lower than its one-way classical communication complexity.
Étude des coefficients Fourier des fonctiones de Lp(G)
A. Bonami · 1970
Earlier work this paper cites.
Inequalities in Fourier analysis
W. Beckner · 1975
Earlier work this paper cites.
Some complexity questions related to distributive computing
A. Yao · 1979
Earlier work this paper cites.
The Theory of Error-Correcting Codes
F. J. MacWilliams and N. J. A. Sloane · 1983
Earlier work this paper cites.
The influence of variables on Boolean functions
J. Kahn, G. Kalai, and N. Linial · 1988
Earlier work this paper cites.
Fourier analysis for probabilistic communication complexity
R. Raz · 1995
Earlier work this paper cites.
Estimates for the range of binomiality in codes’ spectra
I. Krasikov and S. Litsyn · 1997
Earlier work this paper cites.
Communication Complexity
E. Kushilevitz and N. Nisan · 1997
Earlier work this paper cites.
Quantum vs. classical communication and computation
H. Buhrman, R. Cleve, and A. Wigderson · 1998
Earlier work this paper cites.
Survey of binary Krawtchouk polynomials
I. Krasikov and S. Litsyn · 1999
Cited alongside, same era.
Exponential separation of quantum and classical communication complexity
R. Raz · 1999
Cited alongside, same era.
Succinct quantum proofs for properties of finite groups
J. Watrous · 2000
Cited alongside, same era.
Quantum fingerprinting
H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf · 2001
Cited alongside, same era.
Linear codes and character sums
N. Linial and A. Samorodnitsky · 2002
Cited alongside, same era.
Exponential separation of quantum and classical one-way communication complexity
Z. Bar-Yossef, T. S. Jayram, and I. Kerenidis · 2004
Cited alongside, same era.
Bounds on distance distributions in codes of known size
A. Ashikhmin, G. Cohen, M. Krivelevich, and S. Litsyn · 2005
Later among the works it cites.
Data streams: algorithms and applications
S. Muthukrishnan · 2005
Later among the works it cites.
Exponential separation of quantum and classical one-way communication complexity for a boolean function, 2006
D. Gavinsky, J. Kempe, and R. de Wolf · 2006
Later among the works it cites.
The one-way communication complexity of the Boolean Hidden Matching Problem, 2006
I. Kerenidis and R. Raz · 2006
Later among the works it cites.
Exponential separations for one-way quantum communication complexity, with applications to cryptography
D. Gavinsky, J. Kempe, I. Kerenidis, R. Raz, and R. de Wolf · 2008
Later among the works it cites.
A brief introduction to Fourier analysis on the boolean cube
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Z. Bar-Yossef, T. S. Jayram, R. Kumar, and D. Sivakumar · 2004
Cited alongside, same era.
Concrete Mathematics
R. L. Graham, D. E. Knuth, and O. Patashnik · 2004
Cited alongside, same era.
Quantum and classical message identification via quantum channels
A. Winter · 2004
Cited alongside, same era.
R. de Wolf · 2008
Later among the works it cites.
The one-way communication complexity of group membership, 2009
S. Aaronson, F. Le Gall, A. Russell, and S. Tani · 2009
Later among the works it cites.
Quantum one-way communication is exponentially stronger than classical communication, 2010
B. Klartag and O. Regev · 2010
Closest in time.