Quantum resonance would be exploited in a proposed quantum-computing approach to the solution of combinatorial optimization problems. In quantum computing in general, one takes advantage of the fact that an algorithm cannot be decoupled from the physical effects available to implement it. Prior approaches to quantum computing have involved exploitation of only a subset of known quantum physical effects, notably including parallelism and entanglement, but not including resonance. In the proposed approach, one would utilize the combinatorial properties of tensor-product decomposability of unitary evolution of many-particle quantum systems for physically simulating solutions to NP-complete problems (a class of problems that are intractable with respect to classical methods of computation). In this approach, reinforcement and selection of a desired solution would be executed by means of quantum resonance. Classes of NP-complete problems that are important in practice and could be solved by the proposed approach include planning, scheduling, search, and optimal design.
This work was done by Michail Zak and Amir Fijany of Caltech for NASA's Jet Propulsion Laboratory. For further information, access the Technical Support Package (TSP) free on-line at www.techbriefs.com/tsp under the Information Sciences category. NPO-41902
This Brief includes a Technical Support Package (TSP).
Exploiting Quantum Resonance To Solve Combinatorial Problems
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Overview
The document titled "Exploiting Quantum Resonance to Solve Combinatorial Problems" (NPO-41902) is a technical support package from NASA's Jet Propulsion Laboratory. It discusses an innovative approach to addressing combinatorial problems using quantum resonance, a concept that leverages the principles of quantum mechanics to enhance computational efficiency and problem-solving capabilities.
Combinatorial problems are prevalent in various fields, including logistics, scheduling, and optimization, where the goal is to find the best arrangement or selection from a finite set of items. Traditional methods for solving these problems can be computationally intensive and time-consuming, especially as the size of the problem increases. The document suggests that quantum resonance can provide a new avenue for tackling these challenges by utilizing quantum states to explore multiple solutions simultaneously.
The technical support package outlines the potential applications of this technology, emphasizing its relevance not only in aerospace but also in broader scientific and commercial contexts. By harnessing quantum resonance, researchers and engineers may be able to develop more efficient algorithms that can significantly reduce the time required to solve complex combinatorial problems.
Additionally, the document serves as a resource for those interested in the commercial technology program of NASA, which aims to disseminate aerospace-related developments that have wider technological implications. It encourages collaboration and innovation through the NASA Innovative Partnerships Program, providing contact information for further assistance and access to additional resources.
The document also includes a disclaimer regarding the use of the information contained within, stating that neither the U.S. Government nor any representatives assume liability for its application. This highlights the importance of adhering to applicable regulations and understanding the proprietary nature of the information.
In summary, the technical support package presents a promising approach to solving combinatorial problems through quantum resonance, showcasing NASA's commitment to advancing technology with potential applications beyond aerospace. It invites further exploration and collaboration in this cutting-edge field, aiming to inspire new solutions to complex challenges faced across various industries.
