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» Limitations of quantum coset states for graph isomorphism
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STOC
2006
ACM
112views Algorithms» more  STOC 2006»
13 years 11 months ago
Limitations of quantum coset states for graph isomorphism
It has been known for some time that graph isomorphism reduces to the hidden subgroup problem (HSP). What is more, most exponential speedups in quantum computation are obtained by...
Sean Hallgren, Cristopher Moore, Martin Rötte...
FOCS
2002
IEEE
13 years 10 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
EUROCRYPT
2005
Springer
13 years 10 months ago
Computational Indistinguishability Between Quantum States and Its Cryptographic Application
We introduce a computational problem of distinguishing between two specific quantum states as a new cryptographic problem to design a quantum cryptographic scheme that is “secu...
Akinori Kawachi, Takeshi Koshiba, Harumichi Nishim...
DM
2010
107views more  DM 2010»
13 years 5 months ago
An analytic approach to stability
The stability method is very useful for obtaining exact solutions of many extremal graph problems. Its key step is to establish the stability property which, roughly speaking, sta...
Oleg Pikhurko