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A central goal of any quantum technology consists in demonstrating an advantage in their performance compared to the best possible classical implementation. A quantum radar improves the detection of a target placed in a noisy environment by exploiting quantum correlations between two modes, probe and idler. The predicted quantum enhancement is not only less sensitive to loss than most quantum metrological applications, but it is also supposed to improve with additional noise. Here we demonstrate a superconducting circuit implementing a microwave quantum radar that can provide more than 20% better performance than any possible classical radar. The scheme involves joint measurement of entangled probe and idler microwave photon states after the probe has been reflected from the target and mixed with thermal noise. By storing the idler state in a resonator, we mitigate the detrimental impact of idler loss on the quantum advantage. Measuring the quantum advantage over a wide range of parameters, we find that the purity of the initial probe-idler entangled state is the main limiting factor and needs to be considered in any practical application.Proposals for quantum radars have suggested that in noisy environments there may be a benefit in sensing using quantum microwaves. A superconducting circuit experiment has now confirmed an advantage exists under appropriate conditions.

Decoherence originates from the leakage of quantum information into external degrees of freedom. For a qubit, the two main decoherence channels are relaxation and dephasing. Here, we report an experiment on a superconducting qubit where we retrieve part of the lost information in both of these channels. We demonstrate that raw averaging the corresponding measurement records provides a full quantum tomography of the qubit state where all three components of the effective spin-1/2 are simultaneously measured. From single realizations of the experiment, it is possible to infer the quantum trajectories followed by the qubit state conditioned on relaxation and/or dephasing channels. The incompatibility between these quantum measurements of the qubit leads to observable consequences in the statistics of quantum states. The high level of controllability of superconducting circuits enables us to explore many regimes from the Zeno effect to underdamped Rabi oscillations depending on the relative strengths of driving, dephasing, and relaxation. Information leaked by a quantum system into its environment causes decoherence but if it is recorded then it can be used to infer the quantum state. Ficheux et al. monitor the relaxation and dephasing of a qubit and show that this allows all three components of the qubit to be probed simultaneously.

A qubit can relax by fluorescence, which prompts the release of a photon into its electromagnetic environment. By counting the emitted photons, discrete quantum jumps of the qubit state can be observed. The succession of states occupied by the qubit in a single experiment, its quantum trajectory, depends in fact on the kind of detector. How are the quantum trajectories modified if one measures continuously the amplitude of the fluorescence field instead? Using a superconducting parametric amplifier, we perform heterodyne detection of the fluorescence of a superconducting qubit. For each realization of the measurement record, we can reconstruct a different quantum trajectory for the qubit. The observed evolution obeys quantum state diffusion, which is characteristic of quantum measurements subject to zero-point fluctuations. Independent projective measurements of the qubit at various times provide a quantitative verification of the reconstructed trajectories. By exploring the statistics of quantum trajectories, we demonstrate that the qubit states span a deterministic surface in the Bloch sphere at each time in the evolution. Additionally, we show that when monitoring fluorescence field quadratures, coherent superpositions are generated during the decay from excited to ground state. Counterintuitively, measuring light emitted during relaxation can give rise to trajectories with increased excitation probability.

Electromagnetic modes are instrumental in building quantum machines. In this experiment, we introduce a method to manipulate these modes by effectively controlling their phase space. Preventing access to a single energy level, corresponding to a number of photons N, confined the dynamics of the field to levels 0 to N – 1. Under a resonant drive, the level occupation was found to oscillate in time, similarly to an N-level system. Performing a direct Wigner tomography of the field revealed its nonclassical features, including a Schrödinger cat–like state at half period in the evolution. This fine control of the field in its phase space may enable applications in quantum information and metrology.

Making a system state follow a prescribed trajectory despite fluctuations and errors commonly consists of monitoring an observable (temperature, blood-glucose level, etc.) and reacting on its controllers (heater power, insulin amount, etc.). In the quantum domain, there is a change of paradigm in feedback, since measurements modify the state of the system, most dramatically when the trajectory goes through superpositions of measurement eigenstates. Here, we demonstrate the stabilization of an arbitrary trajectory of a superconducting qubit by measurement-based feedback. The protocol benefits from the long coherence time (T2>10μs ) of the 3D transmon qubit, the high efficiency (82% ) of the phase-preserving Josephson amplifier, and fast electronics that ensure less than 500 ns total delay. At discrete time intervals, the state of the qubit is measured and corrected in case an error is detected. For Rabi oscillations, where the discrete measurements occur when the qubit is supposed to be in the measurement pointer states, we demonstrate an average fidelity of 85% to the targeted trajectory. For Ramsey oscillations, which do not go through pointer states, the average fidelity reaches 76% . Incidentally, we demonstrate a fast reset protocol that allows us to cool a 3D transmon qubit down to 0.6% in the excited state.

Multiple myeloma (MM) invariably develops in the bone marrow (BM), indicating the strong requirement of this tumor for the peculiar BM microenvironment, rich in cytokine and hematopoietic precursor cells. Interleukin-6 (IL-6) and a proliferation inducing ligand (APRIL) are key cytokines implicated in MM development. Here, we show that MM cells changed the hematopoietic microenvironment early upon BM infiltration by strongly downregulating hematopoietic precursor cells from all lineages except myeloid precursor cells. Myeloid precursor cells constituted a major source of APRIL in MM-infiltrated BM, and their proliferative response to IL-6 upregulation explained their relative resistance to MM infiltration. The osteolytic molecule receptor activator of NF-kB ligand (RANK-L) expressed by MM cells started this myeloid proliferation by inducing in a contact-dependent manner IL-6 production by myeloid precursor cells themselves. Taken together, our data demonstrate that MM cells do not simply displace hematopoietic cells upon BM infiltration, but rather selectively modulate the BM microenvironment to preserve a pool of high APRIL-producing myeloid precursor cells. Our data also identify a positive regulation of APRIL by IL-6 in myeloid precursor cells.

The original version of this Article omitted the following from the Acknowledgements: Z. Leghtas' primary affiliation is Centre Automatique et Systèmes, Mines ParisTech. This has been corrected in both the PDF and HTML versions of the Article.

Experimental studies of the flowering of Arabidopsis thaliana have shown that a large complex gene regulatory network (GRN) is responsible for its regulation. This process has been mathematically modelled with deterministic differential equations by considering the interactions between gene activators and inhibitors (Valentim et al. in PLoS ONE 10(2):e0116973, 2015; van Mourik et al. in BMC Syst Biol 4(1):1, 2010). However, due to complexity of the model, the properties of the network and the roles of the individual genes cannot be deducted from the numerical solution the published work offers. Here, we propose simplifications of the model, based on decoupling of the original GRN to motifs, described with three and two differential equations. A stable solution of the original model is sought by linearisation of the original model which contributes to further investigation of the role of the individual genes to the flowering. Furthermore, we study the role of noise by introducing and investigating two types of stochastic elements into the model. The deterministic and stochastic nonlinear dynamic models of Arabidopsis flowering time are considered by following the deterministic delayed model introduced in Valentim et al. (2015). Steady-state regimes and stability of the deterministic original model are investigated analytically and numerically. By decoupling some concentrations, the system was reduced to emphasise the role played by the transcription factor Suppressor of Overexpression of Constants1 (\\[\\textit{SOC}1\\]) and the important floral meristem identity genes, Leafy (\\[\\textit{LFY}\\]) and Apetala1 (\\[\\textit{AP}1\\]). Two-dimensional motifs, based on the dynamics of \\[\\textit{LFY}\\] and \\[\\textit{AP}1\\], are obtained from the reduced network and parameter ranges ensuring flowering are determined. Their stability analysis shows that \\[\\textit{LFY}\\] and \\[\\textit{AP}1\\] are regulating each other for flowering, matching experimental findings. New sufficient conditions of mean square stability in the stochastic model are obtained using a stochastic Lyapunov approach. Our numerical simulations demonstrate that the reduced models of Arabidopsis flowering time, describing specific motifs of the GRN, can capture the essential behaviour of the full system and also introduce the conditions of flowering initiation. Additionally, they show that stochastic effects can change the behaviour of the stability region through a stability switch. This study thus contributes to a better understanding of the role of \\[\\textit{LFY}\\] and \\[\\textit{AP}1\\] in Arabidopsis flowering.

Multiple myeloma (MM) is a non-curable tumor developing in the bone marrow (BM). The BM microenvironment rich in hematopoietic precursors is suspected to have a role in MM development. Here we show that a proliferation-inducing ligand (APRIL) mediated in vivo MM promotion. In MM-infiltrated BM, APRIL originated from differentiating myeloid cells with an expression peak in precursor cells. Notably, APRIL expression stayed stable in BM despite MM infiltration. The pool of APRIL-producing cells changed upon MM infiltration. Although CD16 + mature myeloid cells constituted about half of the APRIL-producing cells in healthy BM, CD16 − Elastase + myeloid precursor cells were predominant in MM-infiltrated BM. Myeloid precursor cells secreted all the APRIL they produced, and binding of secreted APRIL to MM cells, strictly dependent of heparan sulfate carried by CD138, resulted in an in situ internalization by tumor cells. This indicated APRIL consumption by MM in BM. Taken together, our data show that myelopoiesis dysregulation characterized by an increased proportion of precursor cells occurs in MM patients. Such dysregulation correlates with a stable expression of the MM-promoting factor APRIL in infiltrated BM.