27aYN-12 Remote quantum operations and entanglement

Farhan Saif, Sami Ul Haq

文明 森越

Ming-Yong Ye, Yong-Sheng Zhang, Guang‐Can Guo

Shu-Hui Luo, An Min Wang

We present the generalized version of Wang's protocol[A.M.Wang, Phys.Rev.A 74,032317 (2006)] for the remote implementation(sometimes referred to as quantum remote control) of partially unknown quantum operations. The protocol only requires no more than half of the entanglements used in Bidirectional Quantum State Teleportation. We also propose a protocol for another form of quantum remote control. It can remotely implement a unitary operation which is a combination of the projective representations of a group. Moreover, we prove that the Schmidt rank of the entanglements cannot not be less than the number of controlled parameters of the operations, which for the first time gives a lower bound on entanglement costs in remote implementation of quantum operations.

M. Y. Wang, Ziyang Wang, Bing Di +1 more

Abstract Joint remote implementation of quantum operations (JRIO) is crucial for distributed quantum computation. We propose a probabilistic JRIO scheme using a three-photon nonmaximally hyperentangled Greenberger-Horne-Zeilinger (GHZ) state, which is simultaneously entangled in the polarization and spatial-mode degrees of freedom (DOFs), as the shared quantum resource. This JRIO protocol operates on two core principles: transferring the quantum-state information of the target qubit to the senders’ joint system via polarization-DOF entanglement and applying local operations, then executing quantum operations on the receiver’s system using entanglement in the spatial-mode DOF. The construction of the proposed scheme requires weak cross-Kerr nonlinearities, X homodyne measurements, simple linear optical elements, and common single-photon detectors. This work extends the framework of the previous JRIO protocol to the scenario of a nonmaximally hyperentangled quantum channel, enriching the theoretical family of distributed quantum operation schemes.

Anthony Chefles, Claire R Gilson, Stephen M Barnett