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CRYPTO
2007
Springer
109views Cryptology» more  CRYPTO 2007»
14 years 1 months ago
A Tight High-Order Entropic Quantum Uncertainty Relation with Applications
We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quant...
Ivan Damgård, Serge Fehr, Renato Renner, Lou...
COCO
2009
Springer
78views Algorithms» more  COCO 2009»
14 years 1 months ago
Fixed-Polynomial Size Circuit Bounds
—In 1982, Kannan showed that ΣP 2 does not have nk -sized circuits for any k. Do smaller classes also admit such circuit lower bounds? Despite several improvements of Kannan’s...
Lance Fortnow, Rahul Santhanam, Ryan Williams
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
13 years 11 months ago
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Abstract. We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of partic...
Richard Cleve, Wim van Dam, Michael Nielsen, Alain...
STACS
1999
Springer
13 years 11 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
STOC
2009
ACM
107views Algorithms» more  STOC 2009»
14 years 8 months ago
Efficient discrete-time simulations of continuous-time quantum query algorithms
The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuo...
Richard Cleve, Daniel Gottesman, Michele Mosca, Ro...