Generalization of port-based teleportation and controlled teleportation capability

Abstract

As a variant of the original quantum teleportation, the port-based teleportation has been proposed, and its various kinds of useful applications in quantum information processing have been explored. Two users in the port-based teleportation initially share an arbitrary pure state, which can be represented by applying one user's local operation to a bipartite maximally entangled state. If the maximally entangled state is a $2M$-qudit state, then it can be expressed as $M$ copies of a two-qudit maximally entangled state, where $M$ is the number of the ports. We here consider a generalization of the original port-based teleportation obtained from employing copies of an arbitrary bipartite (mixed) resource instead of copies of a pure maximally entangled one. By means of the generalization, we construct a concept of the controlled port-based teleportation by combining the controlled teleportation with the port-based teleportation, and analyze its performance in terms of several meaningful quantities such as the teleportation fidelity, the entanglement fidelity, and the fully entangled fraction. In addition, we present new quantities called the control power and the minimal control power for the new controlled version on a given tripartite quantum state.

6 pages, 1 figure; Close to published version

References in corpus (9)

• Experimental quantum teleportation
• Ground-to-satellite quantum teleportation
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Quantum teleportation scheme by selecting one of multiple output ports
• Control power in perfect controlled teleportation via partially entangled channels
• Analysis of N-qubit perfectly controlled teleportation schemes from the controller's point of view
• Teleportation capability, distillability, and nonlocality on three-qubit states
• Higher-dimensional performance of port-based teleportation
• Superactivation, unlockability, and secrecy distribution of bound information

Cited by in corpus (9)

• Multiport based teleportation -- transmission of a large amount of quantum information
• Teleportation of a genuine single-rail vacuum-one-photon qubit generated via a quantum dot source
• Significance of Fidelity Deviation in Continuous Variable Teleportation
• Continuous variable port-based teleportation
• Port-based entanglement teleportation via noisy resource states
• Asymptotic teleportation schemes bridging between standard and port-based teleportation
• Resource-Efficient Teleportation of High-Dimensional Quantum Coherence via Initial Phase Engineering
• Square-root measurements and degradation of the resource state in port-based teleportation scheme
• A resource theory of asynchronous quantum information processing