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» A Quantum Time-Space Lower Bound for the Counting Hierarchy
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JCSS
2000
116views more  JCSS 2000»
13 years 5 months ago
Time-Space Tradeoffs for Satisfiability
We give the first nontrivial model-independent time-space tradeoffs for satisfiability. Namely, we show that SAT cannot be solved simultaneously in n1+o(1) time and n1space for an...
Lance Fortnow
DATE
2004
IEEE
144views Hardware» more  DATE 2004»
13 years 9 months ago
Smaller Two-Qubit Circuits for Quantum Communication and Computation
We show how to implement an arbitrary two-qubit unitary operation using any of several quantum gate libraries with small a priori upper bounds on gate counts. In analogy to librar...
Vivek V. Shende, Igor L. Markov, Stephen S. Bulloc...
CJTCS
1999
133views more  CJTCS 1999»
13 years 5 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
COCO
2004
Springer
82views Algorithms» more  COCO 2004»
13 years 11 months ago
Dimension, Entropy Rates, and Compression
This paper develops new relationships between resource-bounded dimension, entropy rates, and compression. New tools for calculating dimensions are given and used to improve previo...
John M. Hitchcock, N. V. Vinodchandran