Exact quantum polynomial time
In this article, we are going to delve into the topic of Exact quantum polynomial time, a topic that has sparked the interest of many people around the world. Exact quantum polynomial time is a topic that covers different aspects and its implications have a significant impact on our society. Along these lines, we will explore the various dimensions of Exact quantum polynomial time, analyzing its current relevance and its projection into the future. In addition, we will examine different perspectives and opinions from experts in the field, providing a complete and objective view on Exact quantum polynomial time. Therefore, this article aims to offer a comprehensive and updated vision on a topic that undoubtedly arouses great interest today.
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In computational complexity theory, exact quantum polynomial time (EQP or sometimes QP) is the class of decision problems that can be solved by a quantum computer with zero error probability and in guaranteed worst-case polynomial time. It is the quantum analogue of the complexity class P. This is in contrast to bounded-error quantum computing, where quantum algorithms are expected to run in polynomial time, but may not always do so.
In the original definition of EQP, each language was computed by a single quantum Turing machine (QTM), using a finite gate set whose amplitudes could be computed in polynomial time. However, some results have required the use of an infinite gate set. The amplitudes in the gate set are typically algebraic numbers.
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