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Perfect teleportation with a partially entangled quantum channel

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 Added by Fulin Zhang
 Publication date 2021
  fields Physics
and research's language is English




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Quantum teleportation provides a way to transfer unknown quantum states from one system to another, without physical transmission of the object itself. The quantum channels in perfect teleportation (with 100% success probability and fidelity) to date were limited to maximally entangled states. Here, we propose a scheme for perfect teleportation of a qubit through a high-dimensional quantum channel, in a pure state with two equal largest Schmidt coefficients. The quantum channel requires appropriate joint measurement by the sender, Alice, and enough classical information sent to the receiver, Bob. The entanglement of Alices measurement and classical bits she sends, increasing with the entanglement of quantum channel, can be regard as Alices necessary capabilities to use the quantum channel. The two capabilities appears complementary to each other, as the entanglement in Alices measurement may be partially replaced by the classical bits.



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In this work we propose the generation of a hybrid entangled resource (HER) and its further application in a quantum teleportation scheme from an experimentally feasible point of view. The source for HER preparation is based on the four wave mixing process in a photonic crystal fiber, from which one party of its output bipartite state is used to herald a single photon or a single photon added coherent state. From the heralded state and linear optics the HER is created. In the proposed teleportation protocol Bob uses the HER to teleport qubits with different spectral properties. Bob makes a Bell measurement in the single photon basis and characterizes the scheme with its average quantum teleportation fidelity. Fidelities close to one are expected for qubits in a wide spectral range. The work also includes a discussion about the fidelity dependence on the geometrical properties of the medium through which the HER is generated. An important remark is that no spectral filtering is employed in the heralding process, which emphasizes the feasibility of this scheme without compromising photon flux.
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