Unitary transformations can be distinguished locally.
We show that, in principle, N-partite unitary transformations can be perfectly discriminated under local operations and classical communication despite their nonlocal properties. Based on this result, some related topics, including the construction of the appropriate quantum circuit together with the extension to general completely positive trace preserving operations, are discussed.
Zhou
Xiang-Fa
XF
Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China. xfzhou@mail.ustc.edu.cn
Zhang
Yong-Sheng
YS
Guo
Guang-Can
GC