Entangled states in quantum mechanics

Fan Hong‐Yi, Yong Wang

In Phys. Lett. A 313 (2003) 343 we have found that the self-reciprocal Hankel transformation (HT) is embodied in quantum mechanics by a transform between two entangled state representations of continuum variables. In this work we study Hankel transforms and properties of Bessel function via entangled state representations' transformation in quantum mechanics.

Ray LaPierre

There exist multiphoton states that cannot be expressed as a product of individual photon states. These states are called entangled states. Einstein used hidden variables in an attempt to explain the probabilities of quantum mechanics. John Bell proposed a test, using entangled states, showing that quantum mechanics cannot be explained by hidden variables.

James M. Espinosa

Jincheng Zhang

Quantum entanglement, a bizarre phenomenon in quantum mechanics, offers a unique perspective on optimization problems. This paper explores the application of quantum entanglement to probability matrix optimization, a crucial task in machine learning. We propose a novel algorithm that leverages the inherent correlations within entangled states to guide the optimization process. The core mechanism focuses on encoding and manipulating entangled states to create a 'quantum state' that mimics the dynamics of a quantum system, ultimately leading to improved model accuracy and training efficiency. This work represents a significant step towards harnessing the power of quantum mechanics for machine learning, potentially revolutionizing the field.

V. M. Akulin