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The Josephson Mixer, a Swiss army knife for microwave quantum optics

Emmanuel Flurin, Nicolas Roch, Jean-Damien Pillet, F. Mallet, Michel Devoret, Benjamin Huard

Published Oct 15, 2012• 13 citations
Publisher

Abstract

This thesis work explores unique features offered by the Josephson mixer in the upcoming field of microwave quantum optics. We have demonstrated three major roles the Josephson mixer could play in emerging quantum information architectures. First, we have designed and fabricated a state-of-the-art practical quantum limited amplifier with the best quantum efficiency achieved to date. This tool is crucial for probing mesoscopic systems with microwaves, and in particular superconducting circuits. Hence, it has enabled us to realize successfully the stabilization of quantum trajectories of a superconducting qubit by measurement-based feedback. Second, we have shown how this circuit can generate and distribute entangled microwave radiations on separated transmission lines at different frequencies. Using two Josephson mixers, we have provided the first demonstration of entanglement between spatially separated propagating fields in the microwave domain, the so-called Einstein-Podolsky-Rosen states. Finally, we have used the Josephson mixer as a frequency converter. Acting as a switch, it is able to dynamically turn on and off the coupling to a low loss cavity. This feature allowed us to realize a quantum memory for microwaves. In combination with the ability to generate entanglement, we have measured the time-controlled generation, storage and on-demand release of an entangled state, which is a prerequisite for nodes of a quantum network.

DOI
10.70675/99d2d151z1e71z4069z9e9czce990df60343

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The Josephson mixer : a swiss army knife for microwave quantum optics

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This thesis work explores unique features offered by the Josephson mixer in the upcoming field of microwave quantum optics. We have demonstrated three major roles the Josephson mixer could play in emerging quantum information architectures. First, we have designed and fabricated a state-of-the-art practical quantum limited amplifier with the best quantum efficiency achieved to date. This tool is crucial for probing mesoscopic systems with microwaves, and in particular superconducting circuits. Hence, it has enabled us to realize successfully the stabilization of quantum trajectories of a superconducting qubit by measurement-based feedback. Second, we have shown how this circuit can generate and distribute entangled microwave radiations on separated transmission lines at different frequencies. Using two Josephson mixers, we have provided the first demonstration of entanglement between spatially separated propagating fields in the microwave domain, the so-called Einstein-Podolsky-Rosen states. Finally, we have used the Josephson mixer as a frequency converter. Acting as a switch, it is able to dynamically turn on and off the coupling to a low loss cavity. This feature allowed us to realize a quantum memory for microwaves. In combination with the ability to generate entanglement, we have measured the time-controlled generation, storage and on-demand release of an entangled state, which is a prerequisite for nodes of a quantum network.
Le mélangeur Josephson : un couteau suisse pour l'optique quantique micro-onde Cette thèse explore les caractéristiques uniques offertes par le mélangeur Josephson dans le domaine émergeant de l’optique quantique micro-onde. Nous avons démontré que le mixeur Josephson pouvait jouer trois rôles majeurs pour le traitement de l’information quantique. Nous avons conçu et fabriqué un amplificateur à la limite quantique avec la meilleure efficacité quantique démontrée à cette date. Cet outil crucial peut être utilisé pour la mesure microonde de systèmes mésoscopiques dont les circuits supraconducteurs. En particulier, cela nous a permis de réaliser avec succès la stabilisation de trajectoires d’un bit quantique supraconducteur par rétroaction basée sur la mesure. Ensuite, nous avons montré comment ce circuit peut générer et distribuer des radiations micro-ondes intriquées par conversion paramétrique spontanée sur des lignes de transmissions séparées dans l’espace et à des fréquences différentes. En utilisant deux mixeurs Josephson, nous avons fourni la première démonstration d’intrication non- locale entre deux champs propageants dans le domaine micro-onde, les états dits EPR. Finalement, nous avons utilisé le mixeur Josephson dans le mode de conversion de fréquence. Il se comporte alors comme un interrupteur, permettant d’ouvrir ou fermer dynamiquement l’accès à une cavité de haut facteur de qualité. L’ensemble constitue une mémoire quantique. En combinant cela avec la génération d’intrication, nous avons mesuré la distribution, le stockage et la libération sur demande d’un état intriqué. Ceci est un pré-requis pour jouer le rôle de nœud au sein d’un réseau quantique.
Superconducting circuits and microwave signals are good candidates to realize quantum networks, which are the backbone of quantum computers. We have realized a quantum node based on a 3D microwave superconducting cavity parametrically coupled to a transmission line by a Josephson ring modulator. We first demonstrate the time-controlled capture, storage, and retrieval of an optimally shaped propagating microwave field, with an efficiency as high as 80%. We then demonstrate a second essential ability, which is the time-controlled generation of an entangled state distributed between the node and a microwave channel.
Coherent circuits based on superconducting elements hold tremendous promise for the practical implementation of quantum information technology: advanced computation, cryptography, and hardware simulation of complex materials systems are envisioned applications. Such circuits are essentially engineered atoms with level transitions in the 4-8 GHz regime; as such “read” and “write” operations are performed with the aid of fast microwave pulses and low-noise amplifiers, respectively. Recent advances in cavity-based superconducting parametric amplifiers have enabled real-time measurement and feedback in one and two qubits. We demonstrate a novel Josephson junction transmission-line based traveling-wave amplifier which employs sub-wavelength phase matching resonators to achieve high gain, several GHz of bandwidth, and near quantum-noise limited performance. Such devices will enable multiplexed qubit readout in integrated architectures comprised of a variety of microwave frequency analog and digital superconducting technologies: signal sources, multiplexers, ADCs, DACs, mixers, and amplifiers.
One-dimensional Josephson waveguides have generated significant interest in the fields of quantum technology and superconducting quantum information because they allow complete control over wave dispersion and nonlinear interactions.A variety of Josephson waveguides have been proposed and realized in the recent years, with applications ranging from near quantum-limited broadband amplification to multi-mode entanglement generation and non-reciprocal signals transmission.This thesis explores parametric interactions and entanglement generation in a novel architecture of Josephson waveguide. The latter consists of a high-pass microwave network and realizes an artificial material showing left-handed wave dispersion (or equivalently negative refractive index). The left-handed dispersion, combined with the Josephson nonlinearity, enables for various parametric processes, ranging from self-phase-matched broadband amplification of co-propagating modes to amplification and mixing of waves propagating in opposite directions. The realization of such Josephson waveguide opens new avenues within the framework of Josephson traveling wave parametric amplifiers and converters.Beyond these classical nonlinear optical processes, negative index Josephson waveguide are also powerful tools to generate nonclassical states of light such as broadband two-mode vacuum squeezed states and spatially separated entangled photon pairs. Here, we report about the measurements of such quantum states with this novel Josephson waveguide architecture, opening new perspectives for quantum sensing and quantum radar and illumination protocols, and more generally for microwave applications requiring the routing of entangled photons in different directions.
Feedback control in classical systems is an indispensable, ubiquitous tool. The theoretical basis for achieving optimal classical control is well understood, and crucially relies on a very classical assumption: that measurements of the state of a system under control need not perturb that state. In a quantum context this assumption is fundamentally invalid. Although many aspects of the theory of quantum feedback control are relatively well developed, the technological basis for feedback control of a single quantum system has only very recently matured. We demonstrate the experimental realization of a quantum feedback control protocol, perpetually stabilizing the coherent Rabi oscillations of a superconducting qubit. This is the first utilization of quantum feedback control for stabilizing a dynamical process, and the first application of quantum feedback in a solid-state system of any kind. This demonstration comprises the first half of this thesis. The feedback protocol is predicated on the ability to make high-fidelity quantum measurements, which are enabled by quantum-limited Josephson parametric amplifiers (JPAs). The design and realization of the novel Josephson traveling-wave parametric amplifier (JTWPA) comprises the second half of this thesis. The JTWPA achieves order-of-magnitude improvements over state of the art JPAs in bandwidth and signal power handling while providing quantum-limited noise performance, potentially enabling the simultaneous readout of dozens of superconducting qubits and the generation of broadband multi-mode squeezing in the microwave domain.
In this thesis, I demonstrate and evaluate an on-demand source of single propagating microwaves photons. Working in the context of a quantum network, nodes are connected via propagating, nonclassical states of the electromagnetic field. As such, preparing and detecting propagating quantum states is an essential task. I work with one particular node consisting of a microfabricated, effective two level system coupled to a microwave resonator and study its ability to produce propagating nonclassical states, such as single photon states. In principle, states generated by this node could be sent to other such nodes. However, I send them into a Josephson parametric amplifier (JPA) to characterize the source. In particular, I discuss how to design and couple the two components that form my source: a fixed frequency transmon qubit and a 3D superconducting waveguide cavity. I demonstrate the ability to control of the dynamics of this combined system and implement a single photon generation protocol, which utilizes a single microwave control field that is far detuned from the photon emission frequency. To characterize the generation, I perform tomography on the propagating photon state to determine its density matrix ρ. I perform repeated JPA-backed, linear measurements of the propagating state. Based on the histograms of my measurements, I infer a maximum single photon component ρ₁₁ = 0.36 ± 0.01. I characterize the imperfections of the photon generation and detection, including detection inefficiency and measurement backaction. I find that within uncertainty my measurements match my expectation.