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arXiv:quant-ph/0703089 · Physical Review A

Generating entanglement between quantum dots with different resonant frequencies based on dipole-induced transparency

Deepak Sridharan, Edo Waks A

Published Nov 12, 2008• 17 citations
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Abstract

We describe a method for generating entanglement between two spatially separated dipoles coupled to optical microcavities. The protocol works even when the dipoles have different resonant frequencies and radiative lifetimes. This method is particularly important for solid-state emitters, such as quantum dots, which suffer from large inhomogeneous broadening. We show that high fidelities can be obtained over a large dipole detuning range without significant loss of efficiency. We analyze the impact of higher-order photon number states and cavity resonance mismatch on the performance of the protocol.

DOI
10.1103/physreva.78.052321

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We describe a method for generating entanglement between two spatially separated dipoles coupled to optical microcavities. The protocol works even when the dipoles have different resonant frequencies and radiative lifetimes. This method is particularly important for solid-state emitters, such as quantum dots, which suffer from large inhomogeneous broadening. We show that high fidelities can be obtained over a large dipole detuning range without significant loss of efficiency. We analyze the impact of higher-order photon number states and cavity resonance mismatch on the performance of the protocol.
Solid state quantum emitters with electronic spin properties can be entangled using optical interferometric which-path erasure techniques that rely on identical frequencies and linewidths of the emitters. This promises a powerful, fast and scalable platform for quantum technologies. Using current protocols, a pair of emitters embedded in a waveguide interferometer can be deterministically prepared in a maximally entangled state. However, the amount of entanglement diminishes rapidly with increasing separation of the emission lines and variations in the linewidths of the emitters. Solid state emitters such as quantum dots are subject to intrinsic variations in the fabrication process. Therefore, manufacturing the required number of identical emitters on a chip is not scalable. In this Letter, we present a method that uses readily available pairs of entangled photons to entangle solid state emitters with large transition frequency separations and linewidth variations, circumventing the need to fabricate optically identical emitters. We demonstrate a concurrence of C = 0.95 for typical quantum dots using narrowband photon inputs.
We propose a feasible scheme of generating multipartite entanglement with the dipole induced transparency (DIT) effect in indirectly coupled dipole-microcavity systems. It is shown that the transmission spectrum is closely related with the interference of dipole-microcavity systems, and we can generate different classes of multipartite entanglement, e.g., the Greenberger–Horne–Zeilinger state, the W state, and the Dicke state, of the dipole emitters just by choosing an appropriate frequency of the incident photon. Benefiting from the DIT effect, the schemes may work in the bad or low-Q cavity regime only if the large Purcell factor of the dipole-microcavity system is fulfilled, and they are also insensitive to experimental noise, which may be feasible with present accessible technology.
Abstract Entanglement generation and control of two spatially separated asymmetric quantum dots with broken inversion symmetry and mediated by a photonic cavity is studied using a quantum master equation formalism. The quantum dots are coherently driven by a bichromatic laser consisting of a strong optical field nearly resonant with the optical transition of each quantum dot, and a low frequency field. The optical field dresses each quantum dot, and due to the presence of large permanent dipole moments in the quantum dots they are coupled by the low frequency field. We make use of the generated dressed-state scheme for entanglement control. The master equation which describes the interaction with the cavity modes and the coherent fields is numerically solved. In order to gain some insight on the role of the external parameters on entanglement, an effective Hamiltonian for the atomic subsystem is derived in the dressed state representation by adiabatically eliminating the cavity field operators. It is found that steady-state entanglement can be controlled by means of the amplitude and frequency of the low frequency field.
Solid-state quantum emitters are promising candidates for the realization of quantum networks, owing to their long-lived spin memories, high-fidelity local operations, and optical connectivity for long-range entanglement. However, due to differences in local environment, solid-state emitters typically feature a range of distinct transition frequencies, which makes it challenging to create optically mediated entanglement between arbitrary emitter pairs. We propose and demonstrate an efficient method for entangling emitters with optical transitions separated by many linewidths. In our approach, electro-optic modulators enable a single photon to herald a parity measurement on a pair of spin qubits. We experimentally demonstrate the protocol using two silicon-vacancy centers in a diamond nanophotonic cavity, with optical transitions separated by 7.4 GHz. Working with distinguishable emitters allows for individual qubit addressing and readout, enabling parallel control and entanglement of both colocated and spatially separated emitters, a key step toward scaling up quantum information processing systems.