Journal of Lanzhou University of Technology ›› 2026, Vol. 52 ›› Issue (4): 159-165.doi: 10.13295/j.cnki.issn1673-5196.2026.04.019

• Mathematics and Physics • Previous Articles     Next Articles

Quantum channel constructed from quantum Bernoulli noises

TANG Yu-ling   

  1. School of Mathematics, Hexi University, Zhangye 734000, China
  • Received:2024-04-15 Online:2026-08-28 Published:2026-09-03

Abstract: A class of quantum channels based on a infinite-dimensional Hilbert space is constructed using quantum Bernoulli noises. Some basic properties of channels are discussed from the point of quantum probability theory. Then, a quantum-mechanical compound state of the input state and the output state generated by the quantum channel is constructed. Finally, the mutual information in quantum communication theory is defined by the compound state, and its fundamental properties are discussed, which proves that the compound state of quantum communication theory is reasonable.

Key words: quantum Bernoulli noise, quantum channel, compound state, entropy, mutual information

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