Abstract We propose a method to probabilistically implement a nonlocal operation, $% \exp[{\rm i}\xi U_{A}U_{B}{]}$, 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.
Received: 21 August 2005
Revised: 09 March 2006
Accepted manuscript online:
PACS:
03.67.Lx
(Quantum computation architectures and implementations)
(Entanglement measures, witnesses, and other characterizations)
Fund: Project supported by the National Major Fundamental Research Project, China (Grant No 2001CB309310), the National Natural Science Foundation of China (Grant Nos 10347128, 10325523 and 90203018), the Natural Science Foundation of Hunan Province (Grant No 04JJ3017), the Science Foundation for Post Doctorate of China (Grant No 2005037695), and the Scientific Research Fund of Hunan Provincial Education Bureau.
Cite this article:
Shan Yong-Guang (单永光), Nie Jian-Jun (聂建军), Zeng Hao-Sheng (曾浩生) Probabilistically implementing nonlocal operations between two distant qutrits 2006 Chinese Physics 15 1177
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
