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- Continuous_quantum_computation abstract "Two major motivations for studying continuous quantum computation are: Many scientific problems have continuous mathematical formulations. Examples of such formulations are Path integration Feynman–Kac path integration Schrödinger equation In their standard monograph Nielsen and Chuang state "Of particular interest is a decisive answer to the problem whether quantum computers are more powerful than classical computers." To answer this question one must know the classical and quantum computational complexitiesWe discuss the second motivation. By computational complexity (complexity for brevity) is meant the minimal computational resources needed to solve a problem. Two of the most important resources for quantum computing are qubits and queries. Classical complexity has been extensively studied in information-based complexity. The classical complexity of many continuous problems is known. Therefore, when the quantum complexity of these problems is obtained, the question as to whether quantum computers are more powerful than classical can be answered. Furthermore, it can be established how much more powerful. In contrast, the complexity of discrete problems is typically unknown; one has to settle for the complexity hierarchy. For example, the classical complexity of integer factorization is unknown.".
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- Continuous_quantum_computation wikiPageExternalLink quantum.cs.columbia.edu.
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- Continuous_quantum_computation wikiPageWikiLink Category:Quantum_information_science.
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- Continuous_quantum_computation wikiPageWikiLink Feynman–Kac.
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- Continuous_quantum_computation wikiPageWikiLink Information-based_complexity.
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- Continuous_quantum_computation wikiPageWikiLink Quantum_chemistry.
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- Continuous_quantum_computation wikiPageWikiLink Qubit.
- Continuous_quantum_computation wikiPageWikiLink Schrödinger_equation.
- Continuous_quantum_computation wikiPageWikiLink Statistical_mechanics.
- Continuous_quantum_computation wikiPageWikiLinkText "Continuous quantum computation".
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- Continuous_quantum_computation comment "Two major motivations for studying continuous quantum computation are: Many scientific problems have continuous mathematical formulations.".
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