Dynamical decoupling of superconducting qubits

We show that two superconducting qubits interacting via a fixed transversal coupling can be decoupled by appropriately-designed microwave feld excitations applied to each qubit. This technique is useful for removing the effects of spurious interactions in a quantum processor. We also simulate the case of a qubit coupled to a two-level system (TLS) present in the insulating layer of the Josephson junction of the qubit. Finally, we discuss the qubit-TLS problem in the context of dispersive measurements, where the qubit is coupled to a resonator.Comment: 4 figures, 6 page

Entangling microscopic defects via a macroscopic quantum shuttle

In the microscopic world, multipartite entanglement has been achieved with various types of nanometer sized two-level systems such as trapped ions, atoms and photons. On the macroscopic scale ranging from micrometers to millimeters, recent experiments have demonstrated bipartite and tripartite entanglement for electronic quantum circuits with superconducting Josephson junctions. It remains challenging to bridge these largely different length scales by constructing hybrid quantum systems. Doing this may allow for manipulating the entanglement of individual microscopic objects separated by macroscopically large distances in a quantum circuit. Here we report on the experimental demonstration of induced coherent interaction between two intrinsic two-level states (TLSs) formed by atomic-scale defects in a solid via a superconducting phase qubit. The tunable superconducting circuit serves as a shuttle communicating quantum information between the two microscopic TLSs. We present a detailed comparison between experiment and theory and find excellent agreement over a wide range of parameters. We then use the theoretical model to study the creation and movement of entanglement between the three components of the quantum system.Comment: 11 pages, 5 figure

Quantitative evaluation of defect-models in superconducting phase qubits

We use high-precision spectroscopy and detailed theoretical modelling to determine the form of the coupling between a superconducting phase qubit and a two-level defect. Fitting the experimental data with our theoretical model allows us to determine all relevant system parameters. A strong qubit-defect coupling is observed, with a nearly vanishing longitudinal component. Using these estimates, we quantitatively compare several existing theoretical models for the microscopic origin of two-level defects.Comment: 3 pages, 2 figures. Supplementary material, lclimits_supp.pd

In-situ measurement of the permittivity of helium using microwave NbN resonators

By measuring the electrical transport properties of superconducting NbN quarter-wave resonators in direct contact with a helium bath, we have demonstrated a high-speed and spatially sensitive sensor for the permittivity of helium. In our implementation a $\sim10^{-3}$ mm$^3$ sensing volume is measured with a bandwidth of 300 kHz in the temperature range 1.8 to 8.8 K. The minimum detectable change of the permittivity of helium is calculated to be $\sim6\times$$10^{-11}$ $\epsilon_0$/Hz$^{1/2}$ with a sensitivity of order $10^{-13}$ $\epsilon_0$/Hz$^{1/2}$ easily achievable. Potential applications include operation as a fast, localized helium thermometer and as a transducer in superfluid hydrodynamic experiments.Comment: 4 pages, 3 figure

Entangling microscopic defects via a macroscopic quantum shuttle

In the microscopic world, multipartite entanglement has been achieved with various types of nanometer-sized two-level systems such as trapped ions, atoms and photons. On the macroscopic scale ranging from micrometers to millimeters, recent experiments have demonstrated bipartite and tripartite entanglement for electronic quantum circuits with superconducting Josephson junctions. It remains challenging to bridge these largely different length scales by constructing hybrid quantum systems. Doing so may allow us to manipulate the entanglement of individual microscopic objects separated by macroscopically large distances in a quantum circuit. Here we report on the experimental demonstration of induced coherent interaction between two intrinsic two-level states (TLSs) formed by atomic-scale defects in a solid via a superconducting phase qubit. The tunable superconducting circuit serves as a shuttle communicating quantum information between the two microscopic TLSs.We present a detailed comparison between experiment and theory and find excellent agreement over a wide range of parameters.We then use the theoretical model to study the creation and movement of entanglement between the three components of the quantum system

A fast, ultra-sensitive and scalable detection platform based on superconducting resonators for fundamental condensed-matter and astronomical measurements

Low-temperature physics and astronomy have traditionally focused on developing exquisitely sensitive single‐pixel detectors. While this has yielded considerable results, these technologies almost uniformly suffer from an inability to scale to large array sizes. In order to circumvent this barrier, frequency-multiplexing techniques have recently emerged as a suitable solution. Here we present a detailed description of a measurement platform based on frequency-multiplexed superconducting resonators along with the results from two distinct measurements that leverage this nascent technology to achieve multiple-device readout. The first application discussed is a seven-pixel array sensor of the permittivity of liquid helium suitable for quantum hydrodynamic experiments. The second implementation described is a prototype 16-channel mm-wavelength detector optimized for ground-based astronomical detection at the 30 meter Institute for Millimeter-Wave Radio Astronomy (IRAM) telescope in Pico Veleta, Spain

Significado Trigonométrico en el Profesor

En este artículo presentamos el análisis de una experiencia con profesores del nivel medio superior en México, quienes trabajaron una situación-problema relacionada con el cálculo de distancias inaccesibles, en el contexto de un programa de actualización docente. Después de identificar en los profesores un significado lineal en la relación entre el ángulo y la distancia, nos planteamos como objetivo entender por qué se presenta este hecho. Bajo el encuadre de un marco conceptual que articula elementos cognitivos, didácticos y de construcción social de conocimiento trigonométrico, se analizaron los reportes entregados por cada profesor, posterior a la resolución de la situación-problema, así como algunos libros de texto. Identificamos que este significado lineal emerge de las actividades normadas por el discurso trigonométrico escolar, y que está inmerso en un fenómeno al que hemos llamado aritmetización de la Trigonometría