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For example, Dr. Grover's algorithm allows a database to be searched in the square root of the time required by a classical computer.
Currently, all quantum computers involve only a few qubits "and thus can be easily verified by a classical computer, or on a piece of paper," says quantum physicist Philip Walther of the University of Vienna.
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A classical computer does useful calculations by processing bits that represent ones and zeroes.
Cultural differences do not refute computational approaches, but they raise a question: if some cultures tend to rely on formal principles and others rely on stochastic approaches to reasoning, then we should not by default assume that the mind naturally functions like a classical computer as opposed to, say, a connectionist computer.
But a quantum computing system lends itself to such calculations better than a classical computer does.
A working quantum computer, he said, is likely to perform each operation more slowly than a classical computer.
If a quantum computer streaks past a classical computer in power gained, it limps behind in flexibility.
In theory, a quantum computer in less than a minute could solve problems that would take millennia for a classical computer to solve.
So have physicists outpaced a classical computer?
This is reflected in the Boolean character of classical logic, and the Boolean gates in a classical computer.
Because of that limitation, it wasn't clear that a quantum computer could ever out-perform a classical computer.
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