文档介绍：南京邮电大学
硕士学位论文
量子广播信道容量与量子LDPC码的研究
姓名:肖宇
申请学位级别:硕士
专业:信号与信息处理
指导教师:赵生妹
2011-03
LDPC
CSS
I
Abstract
ABSTRACT
With the development of the quantum information technology, munication
would be widrly used munications in the future. Hence, it is valuable to research the
capacity of quantum channel as well as the quantum error-correcting coding methods.
In this thesis, quantum broadcast channel with only one sender and two receivers is firstly
be studied. According to the quantum entanglement generation theorem, I prove the capacity
theorems of noisy quantum broadcast channels, including the classical-quantum and the
quantum-quantum capacity region theorems, by which the retackle region of the quantum
broadcast channel beneath the environment of quantum depolarizing channel could be obtained.
According to this retackle region, it is possible to transmit both entanglement copies as well as
quantum error correcting codes in munication.
Secondly, by using the Entanglement-Assisted Quantum Error-Correcting (EAQEC) Theory,
the classical Low-Density Parity-Check (LDPC) codes constructed from Balanced plete
Block Design (BIBD) and Finite Geometries are quantized into quantum LDPC codes, which
could be named as Entanglement-Assisted Quantum LDPC (EAQLDPC) codes. Compared to the
Quantum LPDC codes constructed by the traditional CSS or Stabilizer codes, we could see that
these EAQLDPC codes have better performance in simulation with only one pair of
entanglemen