Quantum state purification

Quantum state purification;Schur-Weyl duality;Clebsch-Gordan transform

Fu, Honghao

University of Waterloo

关键词: Quantum state purification;    Schur-Weyl duality;    Clebsch-Gordan transform;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/10706/3/Fu_Honghao.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

Quantum state purification is a process in which decoherence is partially reversed by using multiple copies of the input states that have been subject to the same decoherence effect. This thesis focuses on purifying the decoherence caused by the depolarizing channel. In the first half of the thesis, the purification problem is formally introduced and one efficient purification procedure featuring the swap-test is presented and analyzed. The rest of the thesis formulates the optimal purification problem as an optimization problem and applies it to qubit and qutrit purification.