title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ° ÑÐ»ÑÑÐ°Ð¹Ð½ÑÑ ÑÐ¸ÑÐµÐ» Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ³Ð¾ Ð»Ð°Ð·ÐµÑÐ° Ð´Ð»Ñ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð¸Ð½ÑÐ¾ÐºÐ¾Ð¼Ð¼ÑÐ½Ð¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Development of a quantum random number generator using VCSEL for modern infocommunication systems
Creators: name: ÐÐ°ÐºÑÐ¸Ð¼Ð¾Ð²Ð°, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÑ ÑÐ¸ÑÐµÐ»
ÐÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ ÐºÐ²Ð°Ð½ÑÐ¾Ð²ÑÐµ
ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ
ÐÑÐ¸Ð¿ÑÐ¾Ð³ÑÐ°ÑÐ¸Ñ
Ð­Ð»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐ¸Ð¹ Ð»Ð°Ð·ÐµÑ
Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ñ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ
ÑÐ½ÑÑÐ¾Ð¿Ð¸Ñ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ°
ÑÐµÐºÑÐµÑÐ½ÑÐ¹ ÐºÐ»ÑÑ
vertical cavity surface emitting laser
electric field polarization
source entropy
secret key

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÐºÐ²Ð°Ð½ÑÐ¾Ð²ÑÐ¹ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÑ ÑÐ¸ÑÐµÐ» (ÐÐÐ¡Ð§) Ð½Ð° Ð¿ÐµÑÐµÐºÐ»ÑÑÐµÐ½Ð¸Ð¸ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¹ Ð² Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ¼ Ð»Ð°Ð·ÐµÑÐµ, ÑÐ°Ð±Ð¾ÑÐ°ÑÑÐµÐ¼ Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ Ð¿ÐµÑÐµÐºÐ»ÑÑÐµÐ½Ð¸Ñ ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ. Ð¦ÐµÐ»ÑÑ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐÐÐ¡Ð§ Ð´Ð»Ñ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð¸Ð½ÑÐ¾ÐºÐ¾Ð¼Ð¼ÑÐ½Ð¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼ Ð½Ð° Ð¿ÐµÑÐµÐºÐ»ÑÑÐµÐ½Ð¸Ð¸ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ Ð¿ÐµÑÐµÐºÐ»ÑÑÐµÐ½Ð¸Ñ ÑÑÐ¸Ð»ÐµÐ½Ð¸Ñ Ð² Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ¼ Ð»Ð°Ð·ÐµÑÐµ, Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑÐµÐ³Ð¾ Ð²ÑÑÐ¾ÐºÑÑ ÑÐºÐ¾ÑÐ¾ÑÑÑ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÑ ÑÐ¸ÑÐµÐ», ÐºÐ¾Ð¼Ð¿Ð°ÐºÑÐ½Ð¾ÑÑÑ Ð¸ Ð´Ð¾ÑÑÑÐ¿Ð½Ð¾ÑÑÑ. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½ Ð²ÑÐ²Ð¾Ð´ ÑÐºÐ¾ÑÐ¾ÑÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ³Ð¾ Ð»Ð°Ð·ÐµÑÐ°, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÐ°Ð±Ð¸Ð»ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¹, Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸ ÑÐ»Ð»Ð¸Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸, Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ Ð³ÑÐ°Ð½Ð¸Ñ ÑÑÐ°Ð±Ð¸Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð´Ð»Ñ ÑÐ»Ð»Ð¸Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð¾Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð»Ð°Ð·ÐµÑÐ°. ÐÑÐ½Ð¾Ð²Ð½ÑÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð¼ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¸Ðµ Ð½Ð¾Ð²Ð¾Ð³Ð¾ ÑÐ¿Ð¾ÑÐ¾Ð±Ð° Ð¸Ð·Ð²Ð»ÐµÑÐµÐ½Ð¸Ñ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÑÐ¼Ð° Ð¸Ð· Ð¿ÐµÑÐµÐºÐ»ÑÑÐµÐ½Ð¸Ð¹ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¹ Ð² Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ¼ Ð»Ð°Ð·ÐµÑÐµ. ÐÐ»Ñ ÑÑÐ¾Ð³Ð¾ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¼Ð¾Ð´ÐµÐ»Ñ ÐÐÐ¡Ð§ Ð² MATLAB, Ð²ÐºÐ»ÑÑÐ°ÑÑÐ°Ñ Ð² ÑÐµÐ±Ñ Ð±Ð»Ð¾ÐºÐ¸, Ð¸Ð¼Ð¸ÑÐ¸ÑÑÑÑÐ¸Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð»Ð°Ð·ÐµÑÐ½Ð¾Ð³Ð¾ Ð´ÑÐ°Ð¹Ð²ÐµÑÐ°, Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ³Ð¾ Ð»Ð°Ð·ÐµÑÐ°, Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð»ÑÑÑÐ°, ÑÐ¾ÑÐ¾Ð¿ÑÐ¸ÐµÐ¼Ð½Ð¸ÐºÐ°, ÐºÐ¾Ð¼Ð¿Ð°ÑÐ°ÑÐ¾ÑÐ° Ð¸ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°, Ð¾ÑÑÑÐµÑÑÐ²Ð»ÑÑÑÐµÐµ Ð¿Ð¾ÑÑÐ¾Ð±ÑÐ°Ð±Ð¾ÑÐºÑ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÐÐÐ¡Ð§ Ð¾Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð»Ð°Ð·ÐµÑÐ° Ð¸ ÑÐ¾ÐºÐ° Ð½Ð°ÐºÐ°ÑÐºÐ¸. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ñ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ ÑÑÐµÐ¼ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¹ Ð¸ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿Ð¾ÑÑÐ¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸, Ð¾ÑÐµÐ½ÐºÐ° Ð³Ð°Ð±Ð°ÑÐ¸ÑÐ½ÑÑ ÑÐ°Ð·Ð¼ÐµÑÐ¾Ð² Ð´Ð»Ñ Ð¾Ð´Ð½Ð¾Ð¹ Ð¸Ð· ÑÑÐµÐ¼. ÐÑÑÐ»ÐµÐ´ÑÐµÐ¼ÑÐ¹ ÐÐÐ¡Ð§ Ð¼Ð¾Ð¶ÐµÑ Ð½Ð°Ð¹ÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð² ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ Ð¸Ð½ÑÐ¾ÐºÐ¾Ð¼Ð¼ÑÐ½Ð¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ, Ð¿Ð¾ÑÐºÐ¾Ð»ÑÐºÑ Ð¾Ð±Ð»Ð°Ð´Ð°ÐµÑ Ð²ÑÑÐ¾ÐºÐ¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÑÑ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¸Ð¸, Ð¿ÑÐ¾ÑÑÐ¾Ð¹ Ð¸ ÐºÐ¾Ð¼Ð¿Ð°ÐºÑÐ½Ð¾Ð¹ ÑÑÐµÐ¼Ð¾Ð¹.
description: The object of study is a quantum random number generator (QRNG) based on switching polarizations in a vertical cavity surface emitting laser (VCSEL) operating in the gain switching mode. The aim of the thesis is to develop QRNG for modern infocommunication systems on polarization switching in the gain switching mode in a vertically emitting laser, which ensures high speed of random number generation, compactness and availability. The thesis presents the derivation of rate equations for a VCSEL, analyzes the stability of various polarizations, in particular, elliptical polarization, and investigates the dependence of the stability limits for elliptical polarization on laser parameters. The main result is the consideration of a new method for extracting quantum noise from polarization switching in a VCSEL. For this purpose, a MATLAB QRNG model have been developed, which includes blocks that simulate the operation of a laser driver, VCSEL, polarizing filter, photodetector, comparator, and computing device that performs post-processing. An analysis is made of the dependence of the characteristics of the QRNG on the parameters of the laser and the pump current. Several implementation schemes are proposed and the results of post-processing are given, as well as an estimate of overall dimensions for one of the schemes. The investigated QRNG can be used in modern infocommunication systems, since it has a high generation rate, a simple and compact circuit.