Quantum algorithm

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• Therefore, an algorithm is a quantum algorithm when it can be performed on a quantum computer.
• Quantum algorithms are most commonly described by a quantum circuit, of which a simple example is shown in the figure below.
• Similarly, a quantum algorithm is a step-by-step procedure, where each of the steps can be performed on a quantum computer.
• Quantum algorithms can be categorized by the main techniques used by the algorithm.
• Efficient quantum algorithms are known for certain non-abelian groups.
• With a quantum algorithm however, it can be solved in Θ(N0.5) queries.
• Because of this, many quantum algorithms are probabilistic: they give the correct answer with a less-than-unity probability.
• Quantum algorithms can also accelerate more complicated classical algorithms.
• "Our research has developed a quantum algorithm which can be used to study a class of many-electron quantum systems using quantum computers.
• It will be established problem by problem, quantum algorithm versus classical algorithm.
• The original version of this article included an example of a classical version of a quantum algorithm developed by Christian Calude.
• In this paper, we introduce q-means, a new quantum algorithm for clustering.
• In this work, we introduce a quantum algorithm for simulating molecular vibrational excitations during vibronic transitions.
• Reichardt B W, Faster quantum algorithm for evaluating game trees, Proc.
• et al., Experimental realization of quantum algorithm for solving linear systems of equations, Phys.
• “Our research has developed a quantum algorithm which can be used to study a class of many-electron quantum systems using quantum computers.
• We survey 20 different quantum algorithms, attempting to describe each in a succinct and self-contained fashion.
• Beyond Shor's algorithm, there is a growing body of work on quantum algorithms specifically designed to attack cryptosystems.
• The first is quantum algorithms providing polynomial or sub-exponential time attacks on cryptosystems under standard assumptions.
• Amplitude estimation forms the core of most known quantum algorithms related to collision finding and graph properties.
• This was historically the first well-defined quantum algorithm achieving a speedup over classical computation.
• So a quantum algorithm has to harness that physical oddity.

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• [{'LOWER': 'quantum'}, {'LEMMA': 'algorithm'}]