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|Title:||Teleportation with a mixed state of four qubits and the generalized singlet fraction||Authors:||Yeo, Y.||Issue Date:||2006||Citation:||Yeo, Y. (2006). Teleportation with a mixed state of four qubits and the generalized singlet fraction. Physical Review A - Atomic, Molecular, and Optical Physics 74 (5) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.74.052305||Abstract:||Recently, an explicit protocol E0 for faithfully teleporting arbitrary two-qubit states using genuine four-qubit entangled states was presented by us. Here, we show that E0 with an arbitrary four-qubit mixed-state resource Ξ is equivalent to a generalized depolarizing bichannel with probabilities given by the maximally entangled components of the resource. These are defined in terms of our four-qubit entangled states. We define the generalized singlet fraction G [Ξ] and illustrate its physical significance with several examples. We argue that in order to teleport arbitrary two-qubit states with average fidelity better than is classically possible, we have to demand that G [Ξ] > 2. In addition, we conjecture that when G [Ξ] < 4, then no entanglement could be teleported. It is shown that to determine the usefulness of Ξ for E0, it is necessary to analyze G [Ξ]. © 2006 The American Physical Society.||Source Title:||Physical Review A - Atomic, Molecular, and Optical Physics||URI:||http://scholarbank.nus.edu.sg/handle/10635/98217||ISSN:||10502947||DOI:||10.1103/PhysRevA.74.052305|
|Appears in Collections:||Staff Publications|
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