scholarly journals The Quantum Adversary Method and Classical Formula Size Lower Bounds

2005 ◽  
Author(s):  
S. Laplante ◽  
T. Lee ◽  
M. Szegedy
Keyword(s):  
Lower Bounds ◽  
Classical Formula ◽  
Adversary Method

scholarly journals THE QUANTUM ADVERSARY METHOD AND CLASSICAL FORMULA SIZE LOWER BOUNDS

2006 ◽  
Vol 15 (2) ◽  
pp. 163-196 ◽  
Author(s):  
Sophie Laplante ◽  
Troy Lee ◽  
Mario Szegedy
Keyword(s):  
Lower Bounds ◽  
Classical Formula ◽  
Adversary Method

scholarly journals Adversary lower bounds for the collision and the set equality problems

2018 ◽  
Vol 18 (3&4) ◽  
pp. 198-222
Author(s):  
Aleksandrs Belovs ◽  
Ansis Rosmanis
Keyword(s):  
Lower Bounds ◽  
Query Complexity ◽  
Negative Weight ◽  
Quantum Query Complexity ◽  
Adversary Method ◽  
Quantum Query

We prove tight \Omega(n^{1/3}) lower bounds on the quantum query complexity of the Collision and the Set Equality problems, provided that the size of the alphabet is large enough. We do this using the negative-weight adversary method. Thus, we reprove the result by Aaronson and Shi, as well as a more recent development by Zhandry.

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base

Lower bounds on the dimension of the Rauzy gasket

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  
Lower Bounds

A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

10.37236/1188 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Geoffrey Exoo
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Ramsey Numbers

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.

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