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With coupled detuned oscillators, either individual or collective oscillations are observable. The latter is used in quantum information processing in linear Paul traps. Here, we study the transition from collective radial modes at stronger…

We investigate electron transport through a mono-atomic wire which is tunnel coupled to two electrodes and also to the underlying substrate. The setup is modeled by a tight-binding Hamiltonian and can be realized with a scanning tunnel…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

Scalable trapped-ion quantum computing requires fast and reliable transport of ions through complex, segmented radiofrequency trap architectures without inducing excessive motional excitation. We present a numerical toolchain for the…

An introductory review of the linear ion trap is given, with particular regard to its use for quantum information processing. The discussion aims to bring together ideas from information theory and experimental ion trapping, to provide a…

Quantum Physics · Physics 2009-10-30 Andrew M. Steane

Using numerical simulations of the time-dependent Schr\"odinger equation, we study the full quantum dynamics of the motion of an atomic ion in a linear Paul trap. Such a trap is based on a time-varying, periodic electric field, and hence…

Atomic Physics · Physics 2015-08-06 A. Hashemloo , C. M. Dion , G. Rahali

We present a tapered Paul trap whose radio frequency electrodes are inclined to the symmetric axis of the endcap electrodes, resulting in a funnel-shaped trapping potential. With this configuration, a charged particle confined in this trap…

Quantum Physics · Physics 2024-07-03 Bo Deng , Moritz Göb , Max Masuhr , Johannes Roßnagel , Georg Jacob , Daqing Wang , Kilian Singer

Trapped ions are among the leading candidates for quantum computing technologies. Interfacing ion qubits in separate traps and interfacing ion qubits with superconducting qubits are two of the many challenges to scale up quantum computers.…

Quantum Physics · Physics 2021-06-01 Noah Van Horne , Manas Mukherjee

We investigate a surface-mounted electrode geometry for miniature linear radio frequency Paul ion traps. The electrodes reside in a single plane on a substrate, and the pseudopotential minimum of the trap is located above the substrate at a…

Quantum Physics · Physics 2007-05-23 J. Chiaverini , R. B. Blakestad , J. Britton , J. D. Jost , C. Langer , D. Leibfried , R. Ozeri , D. J. Wineland

We discuss various models of ion transport through cell membrane channels. Recent experimental data shows that sizes of ion channels are compared to those of ions and that only few ions may be simultaneously in any single channel.…

Subcellular Processes · Quantitative Biology 2007-06-06 Jan Gomulkiewicz , Jacek Miekisz , Stanislaw Miekisz

A procedure to enhance the quantum--classical correspondence even in situations far from the classical limit is proposed. It is based on controlling the quantum transport between classical regions using the capability to synthesize…

Quantum Physics · Physics 2007-05-23 Juan F. Poyatos , Gonzalo Garcia de Polavieja

Experiments directed towards the development of a quantum computer based on trapped atomic ions are described briefly. We discuss the implementation of single qubit operations and gates between qubits. A geometric phase gate between two ion…

We experimentally demonstrate a quantum walk on a line in phase space using one and two trapped ion. A walk with up to 23 steps is realized by subjecting an ion to state-dependent displacement operations interleaved with quantum coin…

Quantum Physics · Physics 2010-03-10 F. Zähringer , G. Kirchmair , R. Gerritsma , E. Solano , R. Blatt , C. F. Roos

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of…

Quantum Physics · Physics 2009-11-13 M. Mueller , L. -M. Liang , I. Lesanovsky , P. Zoller

Optically linked ion traps are promising as components of network-based quantum technologies, including communication systems and modular computers. Experimental results achieved to date indicate that the fidelity of operations within each…

Quantum Physics · Physics 2016-10-25 Ramil Nigmatullin , Christopher J. Ballance , Niel de Beaudrap , Simon C. Benjamin

We study an electron transport property in two parallel quantum wires with random potentials. Assuming the same microscopic parameters for both wires, we focus on the relationship between inter-wire interaction and electron backward…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yousuke Takeuchi , Hiroyuki Mori

The quadrupole linear Paul trap is one of the key instruments in building highly stable atomic clocks. However, a frequency reference based on a single trapped ion is limited in stability due to the time needed for the interrogation cycle…

Instrumentation and Detectors · Physics 2021-12-07 Martin Oral , Lukáš Slodička , Ondřej Číp

A fault-tolerant quantum computer is expected to require thousands of qubits. Trapped ion architectures provide a modular approach where the quantum register is divided into multiple subregisters connected by physically moving the…

Studying a single atomic ion confined in a time-dependent periodic anharmonic potential, we find large amplitude trajectories stable for millions of oscillation periods in the presence of stochastic laser cooling. The competition between…

Atomic Physics · Physics 2019-08-28 A. Maitra , D. Leibfried , D. Ullmo , H. Landa

In this chapter, we present an overview of experiments with trapped Rydberg ions and outline the advantages and challenges of developing applications of this new platform for quantum computing, sensing and simulation. Trapped Rydberg ions…

Quantum Physics · Physics 2020-07-28 Arezoo Mokhberi , Markus Hennrich , Ferdinand Schmidt-Kaler

We describe, realize, and experimentally investigate a method to perform physical rotations of ion chains, trapped in a segmented surface Paul trap, as a building block for large scale quantum computational sequences. Control of trapping…