The Independence of Reduced Subgroup-State.

Quantum hidden problem being one of the most important quantum computation problems has been widely investigated. Our purpose in this paper is to prove the independent or partial independent of the reduced state derived from the quantum query with the oracle implementation. We prove that if without bias on implementation functions the subgroup state is independent of evaluation functions using the group representation. This result is also used to improve the quantum query success probability. [ABSTRACT FROM AUTHOR]