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arXiv:0806.1052 · New Journal of Physics

Entanglement of distant atoms by projective measurement: the role of detection efficiency

Stefano Zippilli, G. A. Olivares-Rentería, Giovanna Morigi, Carsten Schuck, Felix Rohde, Jürgen Eschner

Published Oct 2, 2008• 20 citations
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Abstract

We assess proposals for entangling two distant atoms by measurement of emitted photons, analyzing how their performance depends on the photon detection efficiency. We consider schemes based on measurement of one or two photons and compare them in terms of the probability to obtain the detection event and of the conditional fidelity with which the desired entangled state is created. Based on an unraveling of the master equation, we quantify the parameter regimes in which one or the other scheme is more efficient, including the possible combination of the one-photon scheme with state purification. In general, protocols based on one-photon detection are more efficient in setups characterized by low photon detection efficiency, while at larger values two-photon protocols are preferable. We give numerical examples based on current experiments.

DOI
10.1088/1367-2630/10/10/103003

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We assess proposals for entangling two distant atoms by measurement of emitted photons, analyzing how their performance depends on the photon detection efficiency. We consider schemes based on measurement of one or two photons and compare them in terms of the probability to obtain the detection event and of the conditional fidelity with which the desired entangled state is created. Based on an unraveling of the master equation, we quantify the parameter regimes in which one or the other scheme is more efficient, including the possible combination of the one-photon scheme with state purification. In general, protocols based on one-photon detection are more efficient in setups characterized by low photon detection efficiency, while at larger values two-photon protocols are preferable. We give numerical examples based on current experiments.
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A scheme is presented for generation of entangled states for two atoms trapped in two distant bad cavities. The scheme can work with bad cavities with the coupling strength smaller than the cavity decay rate, which is important from the viewpoint of experiment. In the scheme the atoms have no probability of being populated in the excited state and thus the atomic spontaneous emission is suppressed, which increases the probability of success. The fidelity of the entangled state is not affected by the detection efficiency. Furthermore, the scheme does not require the detection of the left-polarized photon and right-polarized photon at the same time.
Entanglement between a single photon and a matter qubit is an indispensable resource for quantum repeater and quantum networks. With atomic ensembles, the entanglement creation probability is typically very low to inhibit high-order events. In this paper, we propose and experimentally realize a scheme that creates atom-photon entanglement with an intrinsic efficiency of 50%. We make use of Rydberg blockade to generate two collective excitations, lying in separate internal states. By introducing the momentum degree of freedom for the excitations, and interfering them via Raman coupling, we entangle the two excitations. Via retrieving one excitation, we create the entanglement between the polarization of a single photon and the momentum of the remaining atomic excitation, with a measured fidelity of 0.901(8). The retrieved optical field is verified to be genuine single photons. The realized entanglement may be employed to create entanglement between two distant nodes in a fully heralded way and with a much higher efficiency.
Entanglement of distant quantum memories forms the building block of quantum networks. Neutral atoms with long coherence times are sought for candidates for quantum network links (QNLs). Our experiment with two nodes, 400 m apart, employs single optically trapped Rubidium-87 atoms as quantum memories. Via excitations, entanglement between the atom and spontaneously emitted single photons is created in both traps. Using single-mode fibers, the photons are interfered in a Bell-state measurement thereby swapping the entanglement from the two atom-photon pairs to the atoms with a projective measurement. A new collection setup [1] allows for an increased entanglement event rate of ∼1/20 Hz allowing detailed state analysis and reconstruction of the entangled state.