Toward demonstrating controlled-X operation based on continuous variable four-partite cluster state and quantum teleporters
Yu Wang, Xiaolong Su, Heng Shen, Aihong Tan, Changde Xie, and Kunchi, Peng

TL;DR
This paper demonstrates a controlled-X quantum gate using continuous variable four-partite cluster states and quantum teleportation, enabling nonlocal and deterministic quantum information processing.
Contribution
It introduces an experimental scheme for a controlled-X operation based on CV cluster states and teleportation, advancing measurement-based quantum computation.
Findings
Successful implementation of the controlled-X gate using optical cluster states
The scheme operates nonlocally and deterministically
Fidelity estimates show the impact of imperfect entanglement
Abstract
One-way quantum computation based on measurement and multipartite cluster entanglement offers the ability to perform a variety of unitary operations only through different choices of measurement bases. Here we present an experimental study toward demonstrating the controlled-X operation, a two-mode gate, in which continuous variable (CV) four-partite cluster states of optical modes are utilized. Two quantum teleportation elements are used for achieving the gate operation of the quantum state transformation from input target and control states to output states. By means of the optical cluster state prepared off-line, the homodyne detection and electronic feeding forward, the information carried by the input control state is transformed to the output target state. The presented scheme of the controlled-X operation based on teleportation can be implemented nonlocally and deterministically.…
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