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Europhysics Letters (EPL)

Hyper-entangled photon pairs from single quantum dots

Geng Chen, Chuan‐Feng Li, Zhen−Qiang Yin, Yang Zou, Lixin He, Guang‐Can Guo

Published Feb 1, 2010• 5 citations
Publisher

Abstract

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.

DOI
10.1209/0295-5075/89/44002

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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].
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.
Entangled photon sources are crucial for quantum optics, quantum sensing, and quantum communication. Semiconductor quantum dots generate on-demand entangled photon pairs via the biexciton-exciton cascade. However, the pair of photons are emitted isotropically in all directions, thus limiting the collection efficiency to a fraction of a percent. Moreover, strain and structural asymmetry in quantum dots lift the degeneracy of the intermediate exciton states in the cascade, thus degrading the measured entanglement fidelity. Here, we propose an approach for generating a pair of entangled photons from a semiconductor quantum dot by application of a quadrupole electrostatic potential. We show that the quadrupole electric field corrects for the spatial asymmetry of the excitonic wave function for any quantum dot dipole orientation and fully erases the fine-structure splitting without compromising the spatial overlap between electrons and holes. Our approach is compatible with nanophotonic structures such as microcavities and nanowires, thus paving the way towards a deterministic source of entangled photons with high fidelity and collection efficiency.
Quantum dots are considered an attractive system for applications in quantum communication and quantum logic, confirmed by experimental demonstrations of quantum dot based single photon emission devices. Another key quantum optics resource is the on-demand generation of entangled photon pairs, for which the radiative decay of the biexciton state in a quantum dot has been proposed. The realization of such a device has been prevented due to polarization splitting of the exciton fine structure, caused by anisotropies of various structural parameters of the dot. We present the results of recent experiments that manage the splitting in quantum dots, in order to allow entangled photon emission. We demonstrate that dots with splitting within the homogeneous linewidth can be realized by carefully controlling the thickness of the dot layer. Furthermore, we show that the splitting can be reduced to zero by the application of an in-plane magnetic field. Polarization dependent correlation measurements on these dots will be presented that show characteristic features of entanglement, such as polarization correlation for all linear detection bases, and circular polarization anti-correlation. Our results indicate that for the first time, we have observed triggered entangled photon pair emission from a quantum dot.
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.