title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ ÐºÐ¾Ð´Ð¾Ð² Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ ÐºÐ²Ð°Ð½ÑÐ¾Ð²ÑÑ ÐºÐ»ÑÑÐµÐ¹
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: Usage of multilevel polar codes for quantum key distribution system
Creators: name: ÐÑÐ¸Ð¿Ð¾Ð²Ð°, ÐÐ½Ð¶ÐµÐ»Ð¸ÐºÐ°
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Ð¾Ð´Ñ
ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ
Ð¿Ð¾Ð»ÑÑÐ½ÑÐµ ÐºÐ¾Ð´Ñ
Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐµ ÐºÐ¾Ð´Ñ
Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ðµ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐ¸ÑÑÐµÐ¼Ð° ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ»ÑÑÐµÐ¹
ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ»ÑÑÐµÐ¹
polar codes
multilevel codes
multistage decoding
quantum key distribution system
key reconciliation

description: ÐÐ¸Ð¿Ð»Ð¾Ð¼Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ ÑÐµÐ¼Ðµ "ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÑ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ ÐºÐ¾Ð´Ð¾Ð²Â Ð´Ð»Ñ Ð¿Ð¾ÑÑÐ¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ»ÑÑÐµÐ¹".Â Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ¾Ð´Ð¾Ð²Ð¾Ð¹ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸, Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÑÑÐµÐ¹ ÑÐ¾Ð±Ð¾Ð¹ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¹ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¹ ÐºÐ¾Ð´ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ»ÑÑÐµÐ¹, Ð° ÑÐ°ÐºÐ¶Ðµ ÐµÐ³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ð¼ Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾Ð¼ - Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¼ LDPC ÐºÐ¾Ð´Ð¾Ð¼.Â ÐÐ»Ñ Ð´Ð¾ÑÑÐ¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð¹ ÑÐµÐ»Ð¸ Ð±ÑÐ»Ð¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: - Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° ÐºÐ¾Ð´Ð¾Ð²Ð°Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ, Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÑÑÑÐ°Ñ ÑÐ¾Ð±Ð¾Ð¹ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¹ ÐºÐ¾Ð´ Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐ¼Ð¸ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¼ ÐºÐ¾Ð´Ð°Ð¼Ð¸. - Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð³Ð¾Ð²ÑÐ¹ Ð´ÐµÐºÐ¾Ð´ÐµÑ Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÐ½ÑÐ¼ ÑÐ¿Ð¸ÑÐ¾ÑÐ½ÑÐ¼ Ð´ÐµÐºÐ¾Ð´ÐµÑÐ¾Ð¼ Ð¢Ð°Ð»Ð°-ÐÐ°ÑÐ´Ð¸. - ÐÑÐ±ÑÐ°Ð½ Ð¼ÐµÑÐ¾Ð´ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð½Ð°ÑÐ°Ð»ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð»Ð¾Ð³Ð°ÑÐ¸ÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð¿ÑÐ°Ð²Ð´Ð¾Ð¿Ð¾Ð´Ð¾Ð±Ð¸Ñ (ÐÐÐÐ) Ð´Ð»Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð³Ð¾Ð²Ð¾Ð³Ð¾ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¹ Ð¿Ð¾Ð»ÑÑÐ½ÑÐ¹ ÐºÐ¾Ð´ Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸ÐµÐ¹ Ð½Ð°ÑÐ°Ð»ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ ÐÐÐÐ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ ÐºÐ¾Ð´ Ð¸Ð¼ÐµÐµÑ Ð¼ÐµÐ½ÑÑÑÑ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÑ Ð¾ÑÐ¸Ð±ÐºÐ¸ Ð½Ð° ÑÐ»Ð¾Ð²Ð¾ (FER) Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð°Ð½Ð°Ð»Ð¾Ð³Ð¸ÑÐ½ÑÐ¼ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ¾Ð²Ð½ÐµÐ²ÑÐ¼ LDPC ÐºÐ¾Ð´Ð¾Ð¼.
description: The subject of this paper is "Usage of multilevel polar codes for quantum keyÂ distribution system". The aim is to design a code construction of a multilevel code with componentÂ polar codes for quantum key distribution system and to compare it with anÂ existing analogue - multilevel LDPC code.Â To achieve the aim we deal with following tasks: - A multilevel code construction with component polar codes was designed. - A multistage decoder with component successive cancelation list decodersÂ was designed. - An approximation method of start likelihood ratioâs (LLR) function for theÂ multistage decoding was designed.Â As a result there is a mutilevel polar code with linear start LLRâs functionÂ approximation. The designed codeâs FER is less than that from the multilevelÂ LDPC code.