Titlebook: Quantum Computer Science; Marco Lanzagorta,Jeffrey Uhlmann Book 2008 Springer Nature Switzerland AG 2008

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Advantages and Limitations of Quantum Computing,be made more explicit by recognizing that CC algorithms can be executed on a quantum computer as special cases in which all quantum registers store superpositions consisting of a single element, e.g..In other words, if superpositions are never used, the quantum hardware simply implements a classical

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Amplitude Amplification,ponentially large number of states in a quantum superposition. Specifically, any extraction of information from a quantum register causes the superposition to collapse to a single state, at which point it is equivalent to a classical state in a classical register.

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The Quantum Fourier Transform,is widely used in virtually every single area of physics and engineering, including optics, high energy physics, acoustics, signal analysis, and image processing. Arguably, the ability to efficiently perform Fourier Transforms could radically change the amount of computational resources needed to so

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Conclusions,ssical Turing model. Specifically, we have described how a unitary operator can be applied to quantum superposition of states to transform the entire set of states in parallel. This so-called quantum parallelism is what potentially permits quantum algorithms to achieve computational complexities sup

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Advantages and Limitations of Quantum Computing, computer. Independently of whether quantum parallelism finds general use or is primarily applied to specialized problems, quantum computing hardware will eventually run all classical algorithms. This is because the effects of quantum phenomena increase as the size of logic gates decrease.

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Computational Complexity and Quantum Computing,ons underlying their claimed computational complexities which may not hold. Stated more explicitly, the correctness of quantum theory does . necessarily imply a . computational framework that is more powerful than classical computing – it only allows for the . that such a framework exists.

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Introduction,ar that it cannot continue indefinitely because of fundamental physical limitations. Specifically, by the year 2020 the circuits will be so small that their behavior will be dominated by quantum effects, and by 2050, the circuits will reach the minimum scale at which information can be physically represented.