Characterising port-based teleportation as universal simulator of qubit channels. (21st April 2021)

• Record Type: Journal Article
• Authors: Pereira, Jason; Banchi, Leonardo; Pirandola, Stefano
• Is Part Of: Journal of physics. Volume 54:Number 20(2021)
• Publication Date: 2021-04-21
• Subjects: quantum information -- port-based teleportation -- quantum channel simulation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/abe67a
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Port-based teleportation (PBT) is a teleportation protocol that employs a number of Bell pairs and a joint measurement to enact an approximate input-output identity channel. Replacing the Bell pairs with a different multi-qubit resource state changes the enacted channel and allows the PBT protocol to simulate qubit channels beyond the identity. The channel resulting from PBT using a general resource state is consequently of interest. In this work, we fully characterise the Choi matrix of the qubit channel simulated by the PBT protocol in terms of its resource state. We also characterise the PBT protocol itself, by finding a description of the map from the resource state to the Choi matrix of the channel that is simulated by using that resource state. Finally, we exploit our expressions to show improved simulations of the amplitude damping channel by means of PBT with a finite number of ports.