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arXiv:1801.05723 · Physical Review Letters

Entanglement between a Photonic Time-Bin Qubit and a Collective Atomic Spin Excitation

Pau Farrera, Georg Heinze, Hugues de Riedmatten

Published Mar 7, 2018• 38 citations
arXivHTMLPDF

Abstract

Entanglement between light and matter combines the advantage of long distance transmission of photonic qubits with the storage and processing capabilities of atomic qubits. To distribute photonic states efficiently over long distances several schemes to encode qubits have been investigated-time-bin encoding being particularly promising due to its robustness against decoherence in optical fibers. Here, we demonstrate the generation of entanglement between a photonic time-bin qubit and a single collective atomic spin excitation (spin wave) in a cold atomic ensemble, followed by the mapping of the atomic qubit onto another photonic qubit. A magnetic field that induces a periodic dephasing and rephasing of the atomic excitation ensures the temporal distinguishability of the two time bins and plays a central role in the entanglement generation. To analyze the generated quantum state, we use largely imbalanced Mach-Zehnder interferometers to perform projective measurements in different qubit bases and verify the entanglement by violating a Clauser-Horne-Shimony-Holt Bell inequality.

DOI
10.1103/physrevlett.120.100501

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Entanglement Between a Photonic Time-Bin Qubit and a Collective Atomic Spin Excitation

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Entanglement Between a Photonic Time-Bin Qubit and a Collective Atomic Spin Excitation

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Entanglement between light and matter combines the advantage of long distance transmission of photonic qubits with the storage and processing capabilities of atomic qubits. To distribute photonic states efficiently over long distances several schemes to encode qubits have been investigated-time-bin encoding being particularly promising due to its robustness against decoherence in optical fibers. Here, we demonstrate the generation of entanglement between a photonic time-bin qubit and a single collective atomic spin excitation (spin wave) in a cold atomic ensemble, followed by the mapping of the atomic qubit onto another photonic qubit. A magnetic field that induces a periodic dephasing and rephasing of the atomic excitation ensures the temporal distinguishability of the two time bins and plays a central role in the entanglement generation. To analyze the generated quantum state, we use largely imbalanced Mach-Zehnder interferometers to perform projective measurements in different qubit bases and verify the entanglement by violating a Clauser-Horne-Shimony-Holt Bell inequality.
The generation and distribution of entanglement are key resources in quantum repeater schemes. Temporally multiplexed systems offer time-bin encoding of quantum information which provides robustness against decoherence in fibers, crucial in long distance communication. Here, we demonstrate the direct generation of entanglement in time between a photon and a collective spin excitation in a rare earth ion doped ensemble. We analyze the entanglement by mapping the atomic excitation onto a photonic qubit and by using time-bin qubit analyzers implemented with another doped crystal using the atomic frequency comb technique. Our results provide a solid-state source of entangled photons with embedded quantum memory. Moreover, the quality of the entanglement is high enough to enable a violation of a Bell inequality by more than two standard deviations.
Quantum information is a fascinating field that studies situations in which information is encoded as quantum states. This encoding is affected by quantum physical effects (such as superposition or entanglement) and its study has led to exciting discoveries from both fundamental and applied perspectives. An interesting system within this field is a quantum light-matter interface, able to interface quantum states encoded in light and those encoded in matter. These systems can combine the long distance transmission advantage of photonic states with the storage and processing capabilities of matter states. The main goal of this thesis was to develop a quantum light-matter interface able to distribute the photonic state to other interfaces based on different platforms. This versatility could open new possibilities that combine the advantages of the different platforms. In this thesis we studied the challenges to make these hybrid connections possible and we performed two examples of such connections. Our quantum light-matter interface is based on a cloud of Rubidium atoms that are laser-cooled in a magneto-optical trap. We operate the atomic system using the Duan-Lukin-Cirac-Zoller scheme in order to generate pairs consisting on a single photon and an atomic collective spin excitation (so-called spin-wave). Spin-waves can later be mapped efficiently into a second single photon, which allows for synchronization capabilities. We use this scheme to generate different types of quantum states, such as heralded on-demand single photons and photonic qubits, photon-photon correlated states, or entanglement between photonic and atomic qubits. Firstly, we studied two capabilities needed in order to perform the mentioned hybrid connections: the frequency and temporal tunability of the photonic states. In the first one we studied the frequency conversion of the single photons paired with spin-waves in the atomic medium. We could convert their wavelength from 780 nm to 1550 nm using a nonlinear crystal waveguide, while still showing quantum statistics of the field. In the second one we showed a temporal tunability of the single photons with durations ranging from around 10 ns to 10 us. The studied statistics of the fields indicate that the photons are close to Fourier-transform-limited, allowing for photon bandwidth tunability. In the third work we studied the generation of a light-matter entangled state in which the photonic state is encoded as a time-bin qubit. Two key ingredients enabled this experiment: a magnetic-field-induced atomic dephasing that allows to create spin-waves in two distinguishable temporal qubit modes, and largely imbalanced Mach-Zehnder interferometers that enabled the qubit analysis. Photonic time-bin encoding has the advantages of low decoherence in optical fibers and direct suitability for frequency conversion. Finally, we took advantage of these studied capabilities in order to transfer photonic quantum states generated by our laser-cooled atomic system to two different types of light-matter interfaces. The first one was a laser-cooled Rubidium cloud able to transfer single photons into Rydberg excitations. We showed that the quantum statistics of our photonic fields are preserved after the Rydberg storage, which represents a first step for future studies of quantum nonlinear effects using the long range Rydberg interaction. The second one was a crystal doped with Praseodymium ions. In this work the photonic quantum state transfer happened between systems with different atomic species, being a truly hybrid example that was enabled by quantum frequency conversion. These results show a quantum light-matter interface where the properties of the photonic states can be tuned for an optimal interaction with other matter platforms. The proof-of-principle photonic quantum state transfers to the Rydberg and doped-crystal systems open the way to study new experiments that combine advantages of different platforms. La informació quàntica estudia situacions en les que la informació està codificada en estats quàntics. Aquesta codificació és afectada per efectes de la fisca quàntica (com ara superposició o entrellaçament) i el seu estudi ha portat a descobriments i noves aplicacions fascinants. Uns sistemes interessants dins d'aquest camp son les interfícies quàntiques de llum-matèria, les quals interconnecten estats quàntics codificats en llum i en matèria. Aquests sistemes combinen els avantatges dels estats fotònics (bona transmissió a llarga distància) amb els dels estats en matèria (bon emmagatzematge i processament). L'objectiu principal de la tesis era desenvolupar una interfície llum-matèria quàntica que pogués distribuir l'estat fotònic a altres interfícies basades en altres plataformes. Aquesta versatilitat podria obrir noves possibilitats que combinen els avantatges de les diferents plataformes. En aquesta tesis hem estudiat les dificultats que apareixen en aquestes connexions híbrides i hem realitzat dos exemples d'aquestes connexions. La nostra interfície llum-matèria quàntica està basada en un núvol d'àtoms de Rubidi que estan refredats en una trampa magneto-òptica. Operem aquest sistema atòmic utilitzant l'esquema Duan-Lukin-Cirac-Zoller per tal de generar parelles que consisteixen en un fotó individual i una excitació atòmica d'espín col·lectiva (anomenada ona-d'espín). Nosaltres utilitzem aquest esquema per tal de generar diferents tipus d'estats quàntics, com ara fotons individuals o qubits fotònics, estats correlacionats de fotó-fotó o entrellaçament entre qubits fotònics i atòmics. Primerament vam estudiar dues capacitats que es necessiten per tal de fer possible les connexions híbrides mencionades: la flexibilitat de la freqüència i el perfil temporal dels estats fotònics. En el primer vam estudiar la conversió de la freqüència dels fotons individuals aparellats amb ones-d'espín en el medi atòmic. Vam poder convertir la seva longitud d'ona de 780nm a 1552nm utilitzant una guia d'ones amb un cristall no-lineal. En el segon vam mostrar la flexibilitat en la duració temporal de fotons individuals amb duracions que van de 10 ns a 10 ns. Les propietats estudiades dels fotons indiquen que el seu espectre està limitat per la transformada de Fourier, la qual cosa permet la flexibilitat del seu espectre. En el tercer treball vam estudiar la generació d'un estat entrellaçat entre llum i matèria en el que l'estat fotònic està codificat en un time-bin qubit. Dos ingredients claus van permetre aquest experiment: un desfasament atòmic induït per un camp magnètic que permet crear ones-d’espín en dos modes temporals distingibles, i interferòmetres de Mach-Zehnder que van permetre l’anàlisi dels qubits. La codificació fotònica de time-bin té els avantatges de baixa decoherència en fibres òptiques i una compatibilitat directa per efectuar conversió de freqüència. Finalment, vam aprofitar aquestes capacitats estudiades per tal de transferir estats quàntics fotònics cap a dos tipus diferents d'interfícies llum matèria. La primera va ser una altre núvol fred d’àtoms de Rubidi en el que és possible transferir fotons individuals cap a excitacions de Rydberg. Aquest experiment representa el primer pas per a futurs estudis d'efectes quàntics no-lineals utilitzant les interaccions Rydberg de llarga distància. Els segon va ser un cristall dopat amb ions de Praseodimi. En aquest treball la transferència de l'estat quàntic va passar entre sistemes amb diferents espècies atòmiques, sent un veritable exemple híbrid fet possible per la conversió de freqüència quàntica. Aquests resultats mostren una interfície llum-matèria quàntica en la que les propietats dels estats fotònics poden ser optimitzades per obtenir una interacció òptima amb altres plataformes materials. Les transferències fotòniques d'estats quàntics als sistemes de Rydberg i de cristalls obren la porta a l'estudi de nous experiments que combinin els avantatges de les diferents plataformes.
Quantum memory is an essential building block for quantum communication and scalable linear quantum computation. Storing two-color entangled photons with one photon being at the telecommunication (telecom) wavelength while the other photon is compatible with quantum memory has great advantages toward the realization of the fiber-based long-distance quantum communication with the aid of quantum repeaters. Here, we report an experimental realization of storing a photon entangled with a telecom photon in polarization as an atomic spin wave in a cold atomic ensemble, thus establishing the entanglement between the telecom-band photon and the atomic-ensemble memory in a polarization degree of freedom. The reconstructed density matrix and the violation of the Clauser-Horne-Shimony-Holt inequality clearly show the preservation of quantum entanglement during storage. Our result is very promising for establishing a long-distance quantum network based on cold atomic ensembles.
Qubit memory that is entangled with photonic qubit is the building block for long distance quantum repeaters. Cavity enhanced and long lived spin wave photon entanglement has been demonstrated by applying dual laser beams onto optical-lattice atoms. However, owing to cross readouts by two beams, retrieval efficiency of spin wave qubit is decreased by one quarter compared to that of single mode spin wave at all storage times. Here, by coupling cold atoms to two modes of a polarization interferometer based cavity, we achieve perfect qubit retrieval in cavity enhanced and long lived atom photon entanglement. A write laser beam is applied onto cold atoms, we then create a magnetic field insensitive spin wave qubit that is entangled with the photonic qubit encoded onto two arms of the interferometer. The spin wave qubit is retrieved by a read beam, which avoids the cross readouts. Our experiment demonstrates 540 μ s storage time at 50% intrinsic qubit retrieval efficiency, which is 13.5 times longer than the best reported result.