Probabilistically implementing nonlocal operations between two distant qutrits |
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Authors: | Shan Yong-Guang Nie Jian-Jun and Zeng Hao-Sheng |
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Institution: | Department of Physics, Hunan Normal University, Changsha 410081, China |
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Abstract: | We propose a method to probabilistically implement a nonlocal operation, $%
\exp {}\i\xi U_{A}U_{B}{]}$, between two distant qutrits $A$ and $B$, where $%
\xi \in 0,2\pi ]$ and $U_{A}$, $U_{B}$ are local unitary and Hermitian
operations for qutrits $A$ and $B$ respectively. The consumptions of
resource for one performance of the method are a single non-maximally
entangled qutrit state and 1-trit classical communication. For a given $\xi $%
, the successful probability of the method depends on the forms of both
entanglement resource and Bob's partial-measurement basis. We systematically
discuss the optimal successful probabilities and their corresponding
conditions for three cases: adjustable entanglement resource, adjustable
partial-measurement basis, adjustable entanglement resource and
partial-measurement basis. It is straightforward to generalize the method
for producing nonlocal unitary operations between any two $N$-level systems. |
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Keywords: | nonlocal operation qutrit optimal successful probability |
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