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arXiv:cond-mat/0411235 · Physical Review B

Entanglement transfer from electron spins to photons in spin light-emitting diodes containing quantum dots

Verónica Cerletti, Oliver Gywat, Daniel Loss

Published Sep 15, 2005• 22 citations
arXivHTMLPDF

Abstract

We show that electron recombination using positively charged excitons in single quantum dots provides an efficient method to transfer entanglement from electron spins onto photon polarizations. We propose a scheme for the production of entangled four-photon states of GHZ type. From the GHZ state, two fully entangled photons can be obtained by a measurement of two photons in the linear polarization basis, even for quantum dots with observable fine structure splitting for neutral excitons and significant exciton spin decoherence. Because of the interplay of quantum mechanical selection rules and interference, maximally entangled electron pairs are converted into maximally entangled photon pairs with unity fidelity for a continuous set of observation directions. We describe the dynamics of the conversion process using a master-equation approach and show that the implementation of our scheme is feasible with current experimental techniques.

DOI
10.1103/physrevb.72.115316

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We show that electron recombination using positively charged excitons in single quantum dots provides an efficient method to transfer entanglement from electron spins onto photon polarizations. We propose a scheme for the production of entangled four-photon states of GHZ type. From the GHZ state, two fully entangled photons can be obtained by a measurement of two photons in the linear polarization basis, even for quantum dots with observable fine structure splitting for neutral excitons and significant exciton spin decoherence. Because of the interplay of quantum mechanical selection rules and interference, maximally entangled electron pairs are converted into maximally entangled photon pairs with unity fidelity for a continuous set of observation directions. We describe the dynamics of the conversion process using a master-equation approach and show that the implementation of our scheme is feasible with current experimental techniques.
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We investigate entanglement transfer from a system of two spin-entangled electron-hole pairs, each placed in a separate single mode cavity, to the photons emitted due to cavity leakage. Dipole selection rules and a splitting between the light hole and the heavy hole subbands are the crucial ingredients establishing a one-to-one correspondence between electron spins and circular photon polarizations. To account for the measurement of the photons as well as dephasing effects, we choose a stochastic Schrödinger equation and a conditional master equation approach, respectively. The influence of interactions with the environment as well as asymmetries in the coherent couplings on the photon entanglement is analysed for two concrete measurement schemes. The first one is designed to violate the Clauser-Horne-Shimony-Holt (CHSH) inequality, while the second one employs the visibility of interference fringes to prove the entanglement of the photons. Because of the spatial separation of the entangled electronic system over two quantum dots, a successful verification of entangled photons emitted by this system would imply the detection of nonlocal spin entanglement of massive particles in a solid state structure.
We propose a unique scheme to generate entangled photon pairs by six semiconductor quantum dots in a structure of quantum cellular automata. By means of interdot electronic tunneling, single-electron spin manipulation, and auxiliary excitons, we can convert the entanglement from the charge degrees of freedom of the electrons to the spin degrees of freedom of the electrons, and then to the polarization of the photons. Our scheme presents a source of entangled photon pairs without using spin–spin coupling, which could work repeatedly, deterministically and efficiently. Both the experimental challenge and the feasibility with present technologies are discussed. In comparison with former relevant work, our proposal not only gives an alternative method to generate entangled photons, but is applicable to other quantum information processing tasks with free electrons.
Quantum entanglement between different forms of qubits is an indication of the universality of quantum mechanics. Entanglement transfer between light and matter, especially photon and spin, has long been studied as the central concept, but it remains technically challenging for single photons and spins. In this paper, we show paired generation of a single electron in a GaAs quantum dot and a single photon from a single polarization-entangled photon pair. We measure temporal coincidence between the single photo-electron detection and the single photon detection. Considering a single photon polarization is converted to an electron spin via an optical selection rule, the present result indicates the capability of photon to spin entanglement transfer. This may be useful to explore the physics of entanglement transfer and also for applications to quantum teleportation based quantum communication.
We propose a scheme to generate hyper-entangled photon pairs from single quantum dots (SQDs). Single photons emitted by SQD are manipulated to be entangled after post-selection. Crucially, exciton fine-structure splitting, which was previously deemed undesirable in similar schemes, is used here to produce photon pairs entangled in both frequency and polarization degrees of freedom. This hyper-entangled two-photon state is potentially more powerful than a normal entangled state for quantum state engineering and quantum information processing.
Summary form only given. Entanglement, a fundamental resource of quantum technologies, is a unique quantum mechanical attribute. In various systems it can be achieved in various individual degrees of freedom, however some of those systems are able to create entanglement in multiple degrees of freedom simultaneously: hyper-entanglement [1]. Here, we report on demonstration of polarization [2] and time-bin [3] hyper-entangled photons emitted from a single quantum dot. By applying two-photon resonant and coherent excitation on a quantum dot system with marginal fine structure splitting we yield fidelities to the maximally entangled state of 0.80(3) and 0.87(4) in polarization and time-bin, respectively. Quantum enhanced communication schemes rely on Bell-state measurements, which find their simplest realization in the interference of two photons at a beam splitter. However, this method is efficiency limited [4] and a complete Bell state analysis of a photon pair entangled in one degree of freedom using only linear optics is impossible. This limitation can be overcome if the photon pair is entangled in more than one degree of freedom, a hyper-entangled state. Using such states in such schemes does not only reduce the resource overhead [5] it also offers the possibility to increase the success rate significantly [6].