Characterising port-based teleportation as a universal simulator of qubit channels

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.

23 pages, 4 figures. Similar to published version

References in corpus (7)

• End-to-end capacities of a quantum communication network
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Quantum teleportation scheme by selecting one of multiple output ports
• Bounds for multi-end communication over quantum networks
• Optimization and learning of quantum programs
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Cited by in corpus (11)

• Efficient multi port-based teleportation schemes
• Bounds on amplitude damping channel discrimination
• Multiport based teleportation -- transmission of a large amount of quantum information
• Optimality of the pretty good measurement for port-based teleportation
• Minimal Port-based Teleportation
• Continuous variable port-based teleportation
• Port-based entanglement teleportation via noisy resource states
• From port-based teleportation to Frobenius reciprocity theorem: partially reduced irreducible representations and their applications
• A resource theory of asynchronous quantum information processing
• Square-root measurements and degradation of the resource state in port-based teleportation scheme
• On the distinguishability of geometrically uniform quantum states