Quantum teleportation with hybrid entangled resources prepared from heralded quantum states

Abstract

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.

An integrated photonic circuit for color qubit preparation by third-order nonlinear interactions

“…Then, by using a suitable spectral filter, we can choose a unique resonant mode (the central one in our case), obtaining a factorable two-photon state. The idler photons act as a trigger to herald the emission of signal photons, which are generally characterized by the density operator 39 , 40 where is the joint spectral amplitude (JSA) function of the cavity-based two-photon state and is the annihilation (creation) operator of photons at frequency . For accessing the temporal mode content of the two-photon state, the JSA is written in terms of the Schmidt decomposition 41 with and depicting two sets of temporal-mode basis functions, which are pairwise correlated 20 .…”

“…Then, by using a suitable spectral filter, we can choose a unique resonant mode (the central one in our case), obtaining a factorable two-photon state. The idler photons act as a trigger to herald the emission of signal photons, which are generally characterized by the density operator [39,40]…”

An all-digital approach for versatile hybrid entanglement generation

“…While the former features non-local correlations between all the DoFs of a photon, the latter, hybrid entanglement, is characterised by entanglement between two photons that have independent DoFs. Remarkably, applications of hybrid entanglement include quantum key distribution [4], quantum repeaters [5], entanglement swapping [3] and quantum teleportation [6] and quantum memories [7], raising the demand for more robust generation methods.…”