We present and experimentally realize a quantum algorithm for efficiently solving the following problem: given an $N\times N$ matrix $\mathcal{M}$, $N$-dimensional vector $\textbf{\emph{b}}$, initial $\textbf{\emph{x}}(0)$, obtain target $\textbf{\emph{x}}(t)$ as function of time $t$ according to constraint $d\textbf{\emph{x}}(t)/dt=\mathcal{M}\textbf{\emph{x}}(t)+\textbf{\emph{b}}$. show that our exhibits exponential speedup over its classical counterpart in certain circumstances. In...

We study the nonlinear dynamics of trapped-ion models far away from Lamb-Dicke regime. This nonlinearity induces a blockade on propagation quantum information along Hilbert space Jaynes-Cummings and Rabi models. propose to use this as resource for dissipative generation high-number Fock states. Also, we compare linear cases model in ultrastrong deep strong-coupling regimes. Moreover, scheme simulate all coupling can be done via off-resonant red- blue-sideband interactions single trapped ion,...

Abstract We propose a method to simulate spin models in trapped ions using digital-analog approach, consisting suitable gate decomposition terms of analog blocks and digital steps. In this way, we show that the quantum dynamics an enhanced variety could be implemented with substantially less number gates than fully approach. Typically, are built multipartite providing complexity simulated model, while steps local operations bringing versatility it. Finally, describe possible experimental...

We demonstrate the emergence of selective $k$-photon interactions in strong and ultrastrong coupling regimes quantum Rabi model with a Stark term. In particular, we show that interplay between rotating counter-rotating terms produces multi-photon whose resonance frequencies depend, due to term, on state bosonic mode. develop an analytical framework explain these by using time-dependent perturbation theory. Finally, propose method achieve simulation term internal vibrational degrees freedom...

We present the experimental implementation of a two-qubit phase gate, using radio frequency (RF) controlled trapped-ion quantum processor. The RF-driven gate is generated by pulsed dynamical decoupling sequence applied to ions' carrier transitions only. It allows for tunable shift with high-fidelity results, in particular fringe contrast up $99_{-2}^{+1}\%$ observed Ramsey-type measurements. also prepare Bell state this laser-free gate. robust against common sources error. investigate effect...

We propose a pulsed dynamical decoupling protocol as the generator of tunable, fast, and robust quantum phase gates between two microwave-driven trapped ion hyperfine qubits. The consists sequences $\pi$-pulses acting on ions that are oriented along an externally applied magnetic field gradient. In contrast to existing approaches, in our design vibrational modes chain cooperate under influence external microwave driving achieve significantly increased gate speeds. Our scheme is against...

We use an electric-dipole laser-driven transition to precisely measure the cyclotron-frequency ratios of pairs <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mmultiscripts><a:mi>Ca</a:mi><a:none/><a:mo>+</a:mo><a:mprescripts/><a:none/><a:mn>42</a:mn></a:mmultiscripts><a:mo>−</a:mo><a:mmultiscripts><a:mi>Ca</a:mi><a:none/><a:mo>+</a:mo><a:mprescripts/><a:none/><a:mn>40</a:mn></a:mmultiscripts></a:mrow><a:mo>,</a:mo><a:mo>...

Sampling from a quantum distribution can be exponentially hard for classical computers and yet could performed efficiently by noisy intermediate-scale device. A prime example of that is to sample given the output states linear interferometer traversed <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>N</a:mi></a:math> identical boson particles. Here, we propose scheme implement such boson-sampling machine with ultracold atoms in polarization-synthesized optical lattice. We...

The paradigmatic spin-boson model considers a spin degree of freedom interacting with an environment typically constituted by continuum bosonic modes. This ubiquitous is relevance in number physical systems where, general, one has neither control over the modes, nor ability to tune distinct interaction mechanisms. Despite this apparent lack control, we present suitable transformation that approximately maps dynamics into tunable multiphoton Jaynes-Cummings undergoing dissipation....

In this paper, the dynamics of an unbalanced two-ion crystal comprising ``target'' and ``sensor'' ions confined in a Penning trap along magnetic-field axis has been studied. First, low amplitude regime is addressed. regime, overall potential including Coulomb repulsion between can be considered harmonic axial, magnetron, reduced-cyclotron modes split up into so-called stretch common modes, that are generalizations well-known ``breathing'' ``center-of-mass'' motions balanced made two ions. By...

A Penning-trap facility for high-precision mass spectrometry based on a novel detection method has been built. This consists in measuring motional frequencies of singly-charged ions trapped strong magnetic fields through the fluorescence photons from laser-cooled 40Ca+ ions, to overcome limitations faced electronic single-ion techniques. The key element this is an open-ring Penning trap coupled upstream preparation similar those used at Radioactive Ion Beam facilities. Here we present full...

A single-ion reservoir has been tested, and characterized in order to be used as a highly sensitive optical detector of electric signals arriving at the trapping electrodes. Our system consists single laser-cooled $^{40}$Ca$^+$ ion stored Paul trap with rotational symmetry. The performance is observed through axial motion ion, which equivalent an underdamped forced oscillator. Thus, results can projected also Penning traps. We have found that, for oscillator temperature $T_{\scriptsize{\rm...

Como Colectivo de Geografía Crítica del Ecuador hemos acompañado a movimientos socio-territoriales en luchas por sus territorios. A partir nuestro trabajo cuatro comunidades Ecuador, este artículo tiene el objetivo extender la conceptualización sobre nuevas formas resistencia desarrolladas procesos reterritorialización. Estas no solamente se enfrentan acumulación capitalista, sino que desafían dinámicas patriarcales, racistas y coloniales. Generamos una propuesta desde geografía feminista...

Placing graphene on uniaxial substrates may have interesting application potential for graphene-based photonic and optoelectronic devices. Here we analytically derive the dispersion relation plasmons discuss their momentum, propagation length polarization as a function of frequency, direction both ordinary extraordinary dielectric permittivities substrate. We find that exhibit an anisotropic propagation, yielding radially asymmetric field patterns when point emitter launches in layer.

Quantum simulation of complex quantum systems and their properties often requires the ability to prepare initial states in an eigenstate Hamiltonian be simulated. In addition, compute eigenvalues a is general non-trivial problem. Here, we propose hybrid quantum-classical probabilistic method eigenstates Hamiltonians which are simulatable with trapped-ion processor.

As the Critical Geography Collective of Ecuador, we have collaborated with socio-territorial movements in struggles for their territories. Based on our work four communities this article aims to expand conceptualization new forms resistance developed by processes reterritorialization. These challenge not only capitalist accumulation, but also patriarchal, racist, and colonial dynamics. From perspective Latin American feminist geography, discuss potential recreate meanings territory based...

Study and evaluation of wireless sensor networks (WSN) require modeling different elements settling performance boundaries. Available IEEE 802.15.4 models make their own assumptions the standard within a given scenario. Such (and interpretations) do not really match real equipment (motes) sometimes. Here we propose model based on one most utilized WSN platforms: micaZ. Its operation timings are described as well so that they can be used for posterior if other scenarios need to studied. The...

Sampling from a quantum distribution can be exponentially hard for classical computers and yet could performed efficiently by noisy intermediate-scale device. A prime example of that is to sample given the output states linear interferometer traversed $N$ identical boson particles. Here, we propose scheme implement such sampling machine with ultracold atoms in polarization-synthesized optical lattice. We experimentally demonstrate basic building block revealing Hong-Ou-Mandel interference...

We present a protocol to achieve double quantum magnetometry at large static magnetic fields. This is regime where sensitive sample parameters, such as the chemical shift, get enhanced facilitating their characterization. In particular, our method delivers two-tone stroboscopic radiation patterns with modulated Rabi frequencies larger spectral signals. Furthermore, it does not introduce inhomogeneous broadening in spectrum preventing signal misinterpretation. Moreover, designed work under...

Quantum platforms based on trapped ions are main candidates to build a quantum hardware with computational capacities that largely surpass those of classical devices. Among the available control techniques in these setups, pulsed dynamical decoupling (pulsed DD) revealed as useful method process information encoded ion registers, whilst minimising environmental noise over them. In this work, we incorporate DD technique uses random pulse phases, or correlated significantly enhance robustness...

We have studied the dynamics of one and two laser-cooled trapped $^{40}$Ca$^+$ ions by applying electric fields different nature along axial direction trap, namely, driving motion with a harmonic dipolar field, or white noise. These types induce distinct motional states modes; coherent oscillation an enhanced Brownian due to additional contribution heating rate from In both scenarios, sensitivity isolated ion two-ion crystal has been evaluated compared. The analysis understanding this is...

We propose the implementation of a switch particle statistics with an embedding quantum simulator. By encoding both Bose-Einstein and Fermi-Dirac into enlarged Hilbert space, simulated particles may be changed in situ during time evolution, from bosons to fermions bosons, as many times desired before measurement is performed. illustrate our proposal few-qubit examples, although protocol straightforwardly extendable larger numbers particles. This can implemented on different platforms such...

We present a method that combines continuous and pulsed microwave-radiation patterns to achieve robust interactions among hyperfine trapped ions placed in magnetic field gradient. More specifically, our scheme displays microwave drivings with modulated phases, phase flips, $\ensuremath{\pi}$ pulses. This leads high-fidelity entangling gates are resilient against fluctuations, changes the amplitudes, crosstalk effects. Our protocol runs arbitrary values of power, which includes...

We analyze the implementation of high-fidelity, phonon-mediated gate operations and quantum simulation schemes for spin qubits associated with silicon vacancy centers in diamond. Specifically, we show how application continuous dynamical decoupling techniques can substantially boost coherence qubit states while increasing at same time variety effective models that be implemented this way. Based on realistic detailed numerical simulations, demonstrate technique suppress errors by more than...