BPP (complexity)

Known as: P = BPP problem, Bounded error probability in polynomial time, BPP (complexity class) 
In computational complexity theory, BPP, which stands for bounded-error probabilistic polynomial time is the class of decision problems solvable by a… (More)
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37 relations
AKS primality testArthur–Merlin protocolBQPBoolean circuit
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Papers overview

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2010
2010
In a World of P=BPP
We show that proving results such as BPP = P essentially necessitate the construction of suitable pseudorandom generators (i.e… (More)
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Highly Cited
2002
Highly Cited
2002
Concurrent Zero Knowledge with Logarithmic Round-Complexity
We show that every language in NP has a (black-box) concurrent zero-knowledge proof system using Õ(log n) rounds of interaction… (More)
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1998
1998
Symmetric alternation captures BPP
We introduce the natural class ${\bf\,S}^P_2$ containing those languages that may be expressed in terms of two symmetric… (More)
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Highly Cited
1997
Highly Cited
1997
P = BPP if E Requires Exponential Circuits: Derandomizing the XOR Lemma
Russell Impagliazzo* Avi Wigdersont Department of Computer Science Institute of Computer Science University of California Hebrew… (More)
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Highly Cited
1993
Highly Cited
1993
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an… (More)
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Highly Cited
1993
Highly Cited
1993
BPP has subexponential time simulations unlessEXPTIME has publishable proofs
We show thatBPP can be simulated in subexponential time for infinitely many input lengths unless exponential time ℴ collapses to… (More)
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Highly Cited
1991
Highly Cited
1991
Simulating BPP Using a General Weak Random Source
We show how to simulate BPP and approximation algorithms in polynomial time using the output from a δ-source. A δ-source is a… (More)
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Highly Cited
1986
Highly Cited
1986
Complexity classes in communication complexity theory
We take a complexity theoretic view of A. C. Yao's theory of communication complexity. A rich structure of natural complexity… (More)
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Highly Cited
1983
Highly Cited
1983
BPP and the Polynomial Hierarchy
We start with some definitions about probabilistic Turing machines (for a detailed exposition of this subject the reader is… (More)
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Highly Cited
1983
Highly Cited
1983
The Complexity of Approximate Counting (Preliminary Version)
There are several computational problems that can be formulated as problems of counting the number of objects having a certain… (More)
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