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» On the Power of Quantum Proofs
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125
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STOC
2006
ACM
112views Algorithms» more  STOC 2006»
15 years 7 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...
CORR
2002
Springer
102views Education» more  CORR 2002»
15 years 1 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
94
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BIOSYSTEMS
2007
95views more  BIOSYSTEMS 2007»
15 years 2 months ago
Physical limits of computation and emergence of life
The computational process is based on the activity linking mathematical equations to a materialized physical world. It consumes energy which lower limit is defined by the set of ...
Abir U. Igamberdiev
ICALP
2001
Springer
15 years 6 months ago
Quantum Complexities of Ordered Searching, Sorting, and Element Distinctness
We consider the quantum complexities of the following three problems: searching an ordered list, sorting an un-ordered list, and deciding whether the numbers in a list are all dis...
Peter Høyer, Jan Neerbek, Yaoyun Shi
CPC
2007
93views more  CPC 2007»
15 years 1 months ago
On a Random Graph Related to Quantum Theory
We show that a random graph studied by Ioffe and Levit is an example of an inhomogeneous random graph of the type studied by Bollob´as, Janson and Riordan, which enables us to gi...
Svante Janson