25 citations · 123 across the 7 of their papers we have counts for
6 papers · 1 filter
Product states and Schmidt rank of mutually unbiased bases in dimension six
Lin Chen, Li Yu
We show that if a set of four mutually unbiased bases (MUBs) in exists and contains the identity, then any other basis in the set contains at most two product states…
Entangling and assisted entangling power of bipartite unitary operations
Lin Chen, Li Yu
Nonlocal unitary operations can create quantum entanglement between distributed particles, and the quantification of created entanglement is a hard problem. It corresponds to the c…
Implementation of bipartite or remote unitary gates with repeater nodes
Li Yu, Kae Nemoto
We propose some protocols to implement various classes of bipartite unitary operations on two remote parties with the help of repeater nodes in-between. We also present a protocol…
Entanglement cost and entangling power of bipartite unitary and permutation operators
Lin Chen, Li Yu
It is known that any bipartite unitary operator of Schmidt rank three is equivalent to a controlled unitary under local unitaries. We propose a standard form of such operators. Usi…
Decomposition of bipartite and multipartite unitary gates into the product of controlled unitary gates
Lin Chen, Li Yu
We show that any unitary operator on the system () can be decomposed into the product of at most controlled unitary operators. The number can be…
Nonlocal and controlled unitary operators of Schmidt rank three
Lin Chen, Li Yu
Implementing nonlocal unitary operators is an important and hard question in quantum computing and cryptography. We show that any bipartite nonlocal unitary operator of Schmidt ran…