Dynamic programming and quantum mechanical motion

Dynamic Programming and Optimal Motion Planning

QUANTUM MECHANICS. Quantum squeezing of motion in a mechanical resonator.

According to quantum mechanics, a harmonic oscillator can never be completely at rest. Even in the ground state, its position will always have fluctuations, called the zero-point motion. Although the zero-point fluctuations are unavoidable, they can be manipulated. Using microwave frequency radiation pressure, we have manipulated the thermal fluctuations of a micrometer-scale mechanical resonat...

Quantum Optical Device Accelerating Dynamic Programming

In this paper we discuss analogue computers based on quantum optical systems accelerating dynamic programming for some computational problems. These computers, at least in principle, can be realized by actually existing devices. We estimate an acceleration in resolving of some NP-hard problems that can be obtained in such a way versus deterministic computers.

Optimal Quantum Feedback Control via Quantum Dynamic Programming

We describe the quantum filtering dynamics for a diffusive non-demolition measurement on an open quantum system. This is then used to determine appropriate feedback controls for the system and the quantum Bellman equation for optimal quantum feedback control is derived. These equations are demonstrated on the fully solvable model of the multi-dimensional controllable quantum particle in a quadr...

Dynamic Simulation and Mechanical Properties of Microtubules

This work is conducted to obtain mechanical properties of microtubule. For this aim, interaction energy in alpha-beta, beta-alpha, alpha-alpha, and beta-beta dimers was calculated using the molecular dynamic simulation. Force-distance diagrams for these dimers were obtained using the relation between potential energy and force. Afterwards, instead of each tubulin, one sphere with 55 KDa weight ...