Convex optimization in quantum mechanics

  • What is non convex optimization and how it differs from convex optimization?

    The convex optimization problem refers to those optimization problems which have only one extremum point (minimum/maximum), but the non-convex optimization problems have more than one extremum point..

  • Why do we use convex optimization in ML?

    Convex optimization has become an essential tool in machine learning because many real-world problems can be modeled as convex optimization problems.
    For example, in classification problems, the goal is to find the best hyperplane that separates the data points into different classes..

Feb 1, 2014Convex optimization problems arise naturally in quantum information theory, often in terms of minimizing a convex function over a convex subset 
Convex optimization problems arise naturally in quantum information theory, often in terms of minimizing a convex function over a convex subset of the space of hermitian matrices. In most cases, finding exact solutions to these problems is usually impossible.

Can a quantum algorithm optimize a convex function?

We present a quantum algorithm that can optimize a convex function over an n n -dimensional convex body using ~O(n) O ~ ( n) queries to oracles that evaluate the objective function and determine membership in the convex body

This represents a quadratic improvement over the best-known classical algorithm

What is convex optimization?

Convex optimization has been a central topic in the study of mathematical optimization, the- oretical computer science, and operations research over the last several decades


Categories

Convex optimization book quora
Non-convex quadratic optimization
Infeasible convex quadratic optimization problem
Convex optimization rust
Convex optimization reinforcement learning
Convex optimization review
Convex optimization relaxation
Convex optimization research
Convex optimization radiation therapy
Convex optimization radar
Convex optimization resources
Convex optimization regularization methods
Convex optimization result
Convex optimization region
Efficient convex optimization requires superlinear memory
Convex optimization linear regression
Convex optimization stephen boyd
Convex optimization stephen boyd pdf
Convex optimization solver
Convex optimization solver python