No abstract

In this article, we elaborate the mathematical framework of quantum mechanics, we obtaine relevant results about quantum measurements, and find that for an arbitrary 2-qubit state, the order of the partial measurement in computational basis only affects the probability of obtaining the measurement result.

As an important stochastic process, quantum Bernoulli noises has a very important physical background and is an important research object in the field of quantum information. In this paper, we review local quantum Bernoulli noises and local quantum mutual entropy, then introduce quantum channel measurement with local quantum Bernoulli noises. On this basis, we give the channel structure between two systems, and prove the completely positivity of this quantum channel. We also give a channel application on the local quantum mutual entropy.