Linear Regression Using Quantum Annealing with Continuous Variables

التفاصيل البيبلوغرافية
العنوان: Linear Regression Using Quantum Annealing with Continuous Variables
المؤلفون: Koura, Asuka, Imoto, Takashi, Ura, Katsuki, Matsuzaki, Yuichiro
سنة النشر: 2024
المجموعة: Physics (Other)
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Physics - Data Analysis, Statistics and Probability
الوصف: Linear regression is a data analysis technique, which is categorized as supervised learning. By utilizing known data, we can predict unknown data. Recently, researchers have explored the use of quantum annealing (QA) to perform linear regression where parameters are approximated to discrete values using binary numbers. However, this approach has a limitation: we need to increase the number of qubits to improve the accuracy. Here, we propose a novel linear regression method using QA that leverages continuous variables. In particular, the boson system facilitates the optimization of linear regression without resorting to discrete approximations, as it directly manages continuous variables while engaging in QA. The major benefit of our new approach is that it can ensure accuracy without increasing the number of qubits as long as the adiabatic condition is satisfied.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2410.08569
رقم الانضمام: edsarx.2410.08569
قاعدة البيانات: arXiv