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arXiv:1403.3463 · Optics Letters

Generation and tomography of arbitrary optical qubits using transient collective atomic excitations

Travis Brannan, Zhongzhong Qin, Andrew MacRae, Alexander I. Lvovsky

Published Sep 11, 2014• 12 citations
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Abstract

We demonstrate the preparation of heralded Fock-basis qubits (a|0〉+b|1〉) from transient collective spin excitations in a hot atomic vapor. The preparation event is heralded by Raman-scattered photons in a four-wave mixing process seeded by a weak coherent optical excitation. The amplitude and phase of the seed field allow arbitrary control over the qubit coefficients. The qubit state is characterized using balanced homodyne tomography.

DOI
10.1364/ol.39.005447

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We demonstrate the preparation of heralded Fock-basis qubits (a|0〉+b|1〉) from transient collective spin excitations in a hot atomic vapor. The preparation event is heralded by Raman-scattered photons in a four-wave mixing process seeded by a weak coherent optical excitation. The amplitude and phase of the seed field allow arbitrary control over the qubit coefficients. The qubit state is characterized using balanced homodyne tomography.
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We demonstrate efficient heralded generation of high purity narrow-bandwidth single photons from a transient collective spin excitation in a hot atomic vapor cell. Employing optical homodyne tomography, we fully reconstruct the density matrix of the generated photon and observe a Wigner function reaching the zero value without correcting for any inefficiencies. The narrow bandwidth of the photon produced is accompanied by a high generation rate yielding a high spectral brightness. The source is, therefore, compatible with atomic-based quantum memories as well as other applications in light-atom interfacing. This Letter paves the way to preparing and measuring arbitrary superposition states of collective atomic excitations.
This thesis presents the experimental demonstration of an atomic source of narrowband nonclassical states of light. Employing four-wave mixing in hot atomic Rubidium vapour, the optical states produced are naturally compatible with atomic transitions and may be thus employed in atom-based quantum communication protocols. We first demonstrate the production of two-mode intensity-squeezed light and analyze the correlations between the two produced modes. Using homodyne detection in each mode, we verify the production of two-mode quadrature-squeezed light, achieving a reduction in quadrature variance of 3 dB below the standard quantum limit. Employing conditional detection on one of the channels, we then demonstrate the generation of single-photon Fock states as well as controllable superpositions of vacuum and 1-photon states. We fully characterize the produced light by means of optical homodyne tomography and maximum likelihood estimation. The narrowband nature of the produced light yields a resolvable temporal wave-function, and we develop a method to infer this wave function from the continuous photocurrent provided by the homodyne detector. The nature of the atomic process opens the door to a new direction of research: generation of arbitrary superpositions of collective atomic states. We perform the first proof-of-principle experiment towards this new field and discuss a proposal for extending this work to obtain full control over the collective-atomic Hilbert space.
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A scheme for heralded generation of frequency-bin photonic qubits via spontaneous four-wave mixing in a system of coupled microring resonators (a photonic molecule) is developed so that the qubit state is fully controlled by the frequency amplitude of the pump field. It is shown that coupling parameters of the photonic molecule can be optimized to provide generation of nearly pure heralded photons. The heralded qubit state does not depend on the microring resonator mode frequency, thereby allowing one to take advantage of frequency multiplexing for improving efficiency of quantum information processing.