Quantum operation, quantum Fourier transform and semi-definite programming
量子物理
2009-11-10 v2
摘要
We analyze a class of quantum operations based on a geometrical representation of level quantum system (or qudit for short). A sufficient and necessary condition of complete positivity, expressed in terms of the quantum Fourier transform, is found for this class of operations. A more general class of operations on qudits is also considered and its completely positive condition is reduced to the well-known semi-definite programming problem.
引用
@article{arxiv.quant-ph/0304145,
title = {Quantum operation, quantum Fourier transform and semi-definite programming},
author = {Runyao Duan and Zhengfeng Ji and Yuan Feng and Mingsheng Ying},
journal= {arXiv preprint arXiv:quant-ph/0304145},
year = {2009}
}
备注
16 pages