A General Method for Selecting Quantum Channel for Bidirectional Controlled State Teleportation and Other Schemes of Controlled Quantum Communication

Abstract

Recently, a large number of protocols for bidirectional controlled state teleportation (BCST) have been proposed using $n$-qubit entangled states ($n\in \{5,6,7\}$) as quantum channel. Here, we propose a general method of selecting multi-qubit $(n>4)$ quantum channels suitable for BCST and show that all the channels used in the existing protocols of BCST can be obtained using the proposed method. Further, it is shown that the quantum channels used in the existing protocols of BCST forms only a negligibly small subset of the set of all the quantum channels that can be constructed using the proposed method to implement BCST. It is also noted that all these quantum channels are also suitable for controlled bidirectional remote state preparation (CBRSP). Following the same logic, methods for selecting quantum channels for other controlled quantum communication tasks, such as controlled bidirectional joint remote state preparation (CJBRSP) and controlled quantum dialogue, are also provided.

8 pages, no figure

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• Experimental entanglement of six photons in graph states
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• Probabilistic Teleportation of a Qudit

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• Classical light vs. nonclassical light: Characterizations and interesting applications
• Comment on "Quantum Teleportation of Eight-Qubit State via Six-Qubit Cluster State"
• The SWAP Imposter: Bidirectional Quantum Teleportation and its Performance
• Quantifying the performance of bidirectional quantum teleportation