Quantum convex optimization

  • How is quantum computing useful for optimization?

    On the technical side, quantum optimizers can solve problems that are difficult for classical computers.
    Using a technology based on neutral atoms, quantum optimizers arrange atoms in a grid and excite them to simulate a computational problem..

  • What is quantum computing useful for optimization?

    Quantum computing is useful for optimization problems because it has unique capabilities that can solve complex types of optimization problems more efficiently than classical computers.
    Quantum algorithms are flexible and can be used to solve many different optimization problems..

  • What is the meaning of quantum optimization?

    Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems.
    Mathematical optimization deals with finding the best solution to a problem (according to some criteria) from a set of possible solutions..

  • Quantum computing is a future-oriented topic that has been gaining popularity in recent years.
    While full general-purpose quantum computing is not generally available right now (January 2023), certain specialized machines can be used already to solve optimization problems extremely fast.
Sep 3, 2018Abstract:We study to what extent quantum algorithms can speed up solving convex optimization problems. Following the classical literature we 

How does quantum optimization work?

Our work, along with an independent Quantum paper by Chakrabarti et al

, gives a quantum algorithm that finds a separating hyperplane based on very few membership queries

This in turn leads to a quadratic quantum improvement in the number of membership queries needed for optimization, compared to the best known classical algorithm

Quantum


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