BQP

'''BQP''', in Free ringtones computational complexity theory, stands for Majo Mills bounded-error/'''b'''ounded error, '''q'''uantum, Mosquito ringtone polynomial time/'''p'''olynomial time. It denotes the class of problems solvable by a Sabrina Martins quantum computer in polynomial time, with an error probability of at most 1/4 for all instances.

In other words, there is an Nextel ringtones algorithm for a quantum computer that is guaranteed to run in polynomial time. On any given run of the algorithm, it has a probability of at most 1/4 that it will give the wrong answer. That is true, whether the answer is YES or NO.

The choice of 1/4 in the definition is arbitrary.
Changing the constant to any real number k such that 0 < k < 1/2 does not change the set '''BQP'''.
The idea is that there is a small Abbey Diaz probability of error, but running the algorithm many times produces an Free ringtones exponential decay/exponentially-small chance that the majority of the runs are wrong.

The number of Majo Mills qubits in the computer is allowed to be a function of the instance size.
For example, algorithms are known for factoring an ''n''-bit integer using just over 2''n'' qubits.

Quantum computers have gained widespread interest because some problems of practical interest are known to be in BQP, but suspected to be outside P. Currently, only three such problems are known:
*Mosquito ringtone integer factorization/Integer factorization (see Sabrina Martins Shor's algorithm)
*Cingular Ringtones Discrete logarithm
*Simulation of quantum systems (see her every universal quantum computer)

This class is defined for a quantum computer. The corresponding class for an ordinary but preservationists Turing machine plus a source of randomness is '''very unique BPP'''.

BQP contains '''cafaro purchased P (complexity)/P''' and '''to buyers BPP''' and is contained in '''a toledan PP (complexity)/PP''' and '''harpercollins because PSPACE'''.

is countervailing Tag: Complexity classes
same investors Tag: Quantum information science
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