Trapped Rydberg ions: A new platform for quantum information processing

Mokhberi, Arezoo; Hennrich, Markus; Schmidt‐Kaler, F.

doi:10.1016/bs.aamop.2020.04.004

Cited by 19 publications

(17 citation statements)

References 211 publications

(336 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A further promising line of research is provided by Rydberg ions both for quantum simulation purposes (Gambetta et al, 2020;Müller et al, 2008) as well as for the realization of fast quantum gates for quantum information processing (Mokhberi et al, 2020;Müller et al, 2008). Two-dimensional ion crystals for quantum simulation of spin-spin interactions using interactions of Rydberg excited ions have been recently proposed in (Nath et al, 2015) to emulate topological quantum spin liquids using the spin-spin interactions between ions in hexagonal plaquettes in a 2D ion crystal.…”

Section: Mapping To Spin Modelsmentioning

confidence: 99%

Long-range interacting quantum systems

Defenu,

Donner,

Macrì

et al. 2021

Preprint

108

View full text Add to dashboard Cite

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range, temperature, density and dimension can be changed. The existence of universal scaling regimes, where diverse physical systems and observables display quantitative agreement, generates a common framework, where the efforts of different research communities can be -in some cases rigorously -connected. Still, the application of this general framework to particular experimental realisations requires the identification of the regimes where the universality phenomenon is expected to appear. In the present review we summarise the recent investigations of many-body quantum systems with long-range interactions, which are currently realised in Rydberg atom arrays, dipolar systems, trapped ion setups and cold atoms in cavity experiments. Our main aim is to present and identify the common and (mostly) universal features induced by long-range interactions in the behaviour of quantum many-body systems. We will discuss both the case of very strong non-local couplings, i.e. the non-additive regime, and the one in which energy is extensive, but nevertheless low-energy, long wavelength properties are altered with respect to the short-range limit. Cases of competition with other local effects in the above mentioned setups are also reviewed.

show abstract

Section: Mapping To Spin Modelsmentioning

confidence: 99%

Long-range interacting quantum systems

Defenu,

Donner,

Macrì

et al. 2021

Preprint

108

View full text Add to dashboard Cite

show abstract

“…The two-mode or M -mode light-matter interaction discussed in the present work suggests an implementation in setups where the electromagnetic environment is reduced to a few modes. Examples are optical cavities coupled to a twolevel atom [18,19], trapped ions where a single emitter can be coupled to its two vibrational modes [20,21], or superconducting circuits [22]. We point out that an important example of the present discussion is the case of two coherent states with the same photon number but opposite phases; these light modes possess nonzero quantum fluctuations, but do not couple to the emitter.…”

Section: Detection Schemementioning

confidence: 89%

Bright and Dark States of Light: The Quantum Origin of Classical Interference

Máximo¹,

Souza²,

Ianzano³

et al. 2021

Preprint

View full text Add to dashboard Cite

According to classical theory, the combined effect of several electromagnetic fields is described under the generic term of interference, where intensity patterns with maxima and minima emerge over space. On the other hand, quantum theory asserts that considering only the expectation value of the total field is insufficient to describe light-matter coupling, and the most widespread explanation highlights the role of quantum fluctuations to obtain correct predictions. We here connect the two worlds by showing that classical interference can be quantum-mechanically interpreted as a bosonic form of super-and subradiance, giving rise to bright and dark states for light modes. We revisit the double-slit experiment and the Mach-Zehnder interferometer, reinterpreting their predictions in terms of collective states of the radiation field. We also demonstrate that quantum fluctuations are not the key ingredient in describing the light-matter quantum dynamics when several vacuum modes are involved. In light of our approach, the unambiguous criterion for the coupling to occur is the presence of nondark states when decomposing the collective state of light. We discuss how the results here discussed could be verified in trapped ion systems or in cross-cavity setups. Finally, we show how the bosonic bright and dark states can be employed to implement quantum gates, which paves the way for the engineering of multimode schemes for universal quantum computing.

show abstract

“…It is applicable to all kinds of experimental platforms wherein the environment causes energy level shifts. Particularly promising are Rydberg atoms and ions [44][45][46][47] due to their increased sensitivity to electric field variations.…”

Section: Discussionmentioning

confidence: 99%

Quantum sensing of weak electric and magnetic fields by coherent amplification of energy level shift effects

Vitanov

2021

Preprint

View full text Add to dashboard Cite

A method for measuring small energy level shifts in a qubit by coherent amplification of their effect is proposed. It is based on the repeated application of the same interaction pulse in two manners: with the same phase of each subsequent pulse, and with an alternating phase shift of π (i.e. a minus sign) from pulse to pulse. Two specific types of pulses are considered: a resonant π pulse and an adiabatic chirped pulse, both of which produce complete population inversion with high fidelity. In the presence of a weak ambient external electric or magnetic field, the ensuing Stark or Zeeman shift leads to an energy level shift and hence a static detuning. In both the resonant and adiabatic approaches, a small level shift does not alter the transition probability very much; however, it can significantly change the dynamical phases in the propagator. The repeated application of the same pulse greatly amplifies the changes in the dynamical phases and maps them onto the populations. Hence the effect of the level shift can be measured with good accuracy. It is found that sequences of pulses with alternating phases deliver much greater error amplification and much steeper excitation profiles around resonance, thereby providing much higher sensitivity to small energy level shifts. Explicit analytic estimates of the sensitivity are derived using the well-known non-crossing Rosen-Zener and Rabi models and the level-crossing Demkov-Kunike model. This recipe provides a simple tool for rapid and accurate sensing of weak electric and magnetic fields by using the same pulse generating an inversion quantum gate, without sophisticated tomography or entangling operations.

show abstract

Trapped Rydberg ions: A new platform for quantum information processing

Cited by 19 publications

References 211 publications

Long-range interacting quantum systems

Long-range interacting quantum systems

Bright and Dark States of Light: The Quantum Origin of Classical Interference

Quantum sensing of weak electric and magnetic fields by coherent amplification of energy level shift effects

Contact Info

Product

Resources

About