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Fast Gates and Mixed-Species Entanglement with Trapped Ions

Fast Gates and Mixed-Species Entanglement with Trapped Ions
Author: Vera M. Schäfer
Publisher: Springer Nature
Total Pages: 161
Release: 2020-03-04
Genre: Computers
ISBN: 3030402851

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Quantum logic gates are the crucial information-processing operation of quantumcomputers. Two crucial performance metrics for logic gates are their precision andspeed. Quantum processors based on trapped ions have always been the touchstonefor gate precision, but have suffered from slow speed relative to other quantum logicplatforms such as solid state systems. This thesis shows that it is possible to acceleratethe logic "clock speed" from kHz to MHz speeds, whilst maintaining a precision of99.8%. This is almost as high as the world record for conventional trapped-ion gates,but more than 20 times faster. It also demonstrates entanglement generation in atime (480ns) shorter than the natural timescale of the ions' motion in the trap, whichstarts to probe an interesting new regime of ion trap physics. In separate experiments, some of the first "mixed-species" quantum logic gates areperformed, both between two different elements, and between different isotopes.The mixed-isotope gate is used to make the first test of the quantum-mechanical Bellinequality between two different species of isolated atoms.


Experiments with Trapped Ions

Experiments with Trapped Ions
Author: Jennifer Flora Lilieholm
Publisher:
Total Pages: 71
Release: 2020
Genre:
ISBN:

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Quantum computing promises to revolutionize modern computation. The race to establish a reliable quantum computing system has spurred research over the globe with the goal of establishing a reliable qubit system. One of the more promising candidates are trapped ions. To that end, I have characterized, improved, and designed experiments to be performed in a novel parabolic mirror ion trap. We measured the trap to have a light collection efficiency of 39%, nearly an order of magnitude higher than the light collection of ion traps utilizing standard collection optics. The parabolic mirror also improves the quality of image collected from a trapped ion, but is limited by the micromotion the ion undergoes while at the optical focus. We designed a new trap component to allow radial control over the ion position by moving the RF null, instead of displacing it with DC bias plates. This improved trapping system is a key part of our plan to to remotely entangle an In donor defect in ZnO with a single trapped Yb+ using a 369 nm photon bus. The lifetime of the relevant ionic state is longer than that of the ZnO system by a factor of 6, leading to a greatly decreased temporal overlap in their emitted photons and thus decreased fidelity in the final entangled state if left unattended. This temporal mismatch is a long outstanding challenge when entangling disparate quantum systems, and to address it I performed numerical calculations to design an excitation pulse which can shape the emitted In photon to have an overlap of 0.99 with the Yb+ photon. This leads to a calculated entangled state fidelity of 94% and an entangled state generation rate of 21 kHz with reasonable experimental parameters. Future directions of the parabolic mirror project are the construction of an ellipsoidal mirror trap which is expected to collect light from 95% of the solid angle surrounding a trapped ion. This high light collection will enable investigations into the time dynamics of quantum jumps. These jumps occur when a weakly driven system is continuously measured, and their appearance is entirely random. However, recent work in an artificial superconducting atom suggests that there is a latency period in other transitions which precedes a jump, allowing for these events to be 'caught'. We endeavor to confirm this behavior in a trapped ion, confirming the discovery for a real atomic system.


Experimental Issues in Coherent Quantum-State Manipulation of Trapped Atomic Ions

Experimental Issues in Coherent Quantum-State Manipulation of Trapped Atomic Ions
Author:
Publisher:
Total Pages: 71
Release: 1998
Genre:
ISBN:

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Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in quantum logic is central to the creation of entanglement. Keeping with current interest, some experimental issues in the proposal for trapped-ion quantum computation by J.I. Cirac and P. Zoller (University of Innsbruck) are discussed. Several possible decoherence mechanisms are examined and what may be the more important of these are identified. Some potential applications for entangled states of trapped-ions which lie outside the immediate realm of quantum computation are also discussed.


A Single Trapped Rydberg Ion

A Single Trapped Rydberg Ion
Author: Gerard Higgins
Publisher: Springer Nature
Total Pages: 98
Release: 2019-10-22
Genre: Science
ISBN: 3030337707

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Systems of trapped ions and systems of ultracold Rydberg atoms are used at the forefront of quantum physics research and they make strong contenders as platforms for quantum technologies. Trapped Rydberg ions are a new hybrid technology envisaged to have both the exquisite control of trapped ion systems and the strong interactions of Rydberg atoms. In this work a single trapped Rydberg ion is experimentally investigated. A trapped strontium ion is excited to Rydberg states using two ultraviolet lasers. Effects of the strong trapping electric fields on the highly-sensitive Rydberg ion are studied. After mitigating unwanted trap effects, the ion is coherently excited to Rydberg states and a quantum gate is demonstrated. This thesis lays much of the experimental groundwork for research using this novel system.


Computational Complexity

Computational Complexity
Author: Robert A. Meyers
Publisher: Springer
Total Pages: 0
Release: 2011-10-19
Genre: Computers
ISBN: 9781461417996

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Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The recognition that the collective behavior of the whole system cannot be simply inferred from an understanding of the behavior of the individual components has led to the development of numerous sophisticated new computational and modeling tools with applications to a wide range of scientific, engineering, and societal phenomena. Computational Complexity: Theory, Techniques and Applications presents a detailed and integrated view of the theoretical basis, computational methods, and state-of-the-art approaches to investigating and modeling of inherently difficult problems whose solution requires extensive resources approaching the practical limits of present-day computer systems. This comprehensive and authoritative reference examines key components of computational complexity, including cellular automata, graph theory, data mining, granular computing, soft computing, wavelets, and more.


Classical and Quantum Information

Classical and Quantum Information
Author: Dan C. Marinescu
Publisher: Academic Press
Total Pages: 744
Release: 2011-01-07
Genre: Mathematics
ISBN: 9780123838759

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A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science. Quantum Information Processing is an application of Quantum Information Science which covers the transformation, storage, and transmission of quantum information; it represents a revolutionary approach to information processing. Classical and Quantum Information covers topics in quantum computing, quantum information theory, and quantum error correction, three important areas of quantum information processing. Quantum information theory and quantum error correction build on the scope, concepts, methodology, and techniques developed in the context of their close relatives, classical information theory and classical error correcting codes. Presents recent results in quantum computing, quantum information theory, and quantum error correcting codes Covers both classical and quantum information theory and error correcting codes The last chapter of the book covers physical implementation of quantum information processing devices Covers the mathematical formalism and the concepts in Quantum Mechanics critical for understanding the properties and the transformations of quantum information


High-Fidelity Quantum Logic in Ca+

High-Fidelity Quantum Logic in Ca+
Author: Christopher J. Ballance
Publisher: Springer
Total Pages: 141
Release: 2017-10-14
Genre: Computers
ISBN: 3319682164

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This thesis describes experimental work in the field of trapped-ion quantum computation. It outlines the theory of Raman interactions, examines the various sources of error in two-qubit gates, and describes in detail experimental explorations of the sources of infidelity in implementations of single- and two-qubit gates. Lastly, it presents an experimental demonstration of a mixed-species entangling gate.


Exploring the Quantum

Exploring the Quantum
Author: Serge Haroche
Publisher: OUP Oxford
Total Pages: 616
Release: 2006-08-11
Genre: Science
ISBN: 0191523240

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The counter-intuitive aspects of quantum physics have been long illustrated by thought experiments, from Einstein's photon box to Schrödinger's cat. These experiments have now become real, with single particles - electrons, atoms, or photons - directly unveiling the strange features of the quantum. State superpositions, entanglement and complementarity define a novel quantum logic which can be harnessed for information processing, raising great hopes for applications. This book describes a class of such thought experiments made real. Juggling with atoms and photons confined in cavities, ions or cold atoms in traps, is here an incentive to shed a new light on the basic concepts of quantum physics. Measurement processes and decoherence at the quantum-classical boundary are highlighted. This volume, which combines theory and experiments, will be of interest to students in quantum physics, teachers seeking illustrations for their lectures and new problem sets, researchers in quantum optics and quantum information.


Quantum Entanglement and Information Processing

Quantum Entanglement and Information Processing
Author: Daniel Esteve
Publisher: Elsevier
Total Pages: 644
Release: 2004-12-13
Genre: Computers
ISBN: 9780444517289

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Presents the lecture notes of the Les Houches Summer School on Quantum entanglement and information processing. This book aims to establish connections between the communities of quantum optics and of quantum electronic devices working in the area of quantum computing. It is useful for graduate students with a basic knowledge of quantum mechanics.


Quantum State Transfer and Network Engineering

Quantum State Transfer and Network Engineering
Author: Georgios M. Nikolopoulos
Publisher: Springer Science & Business Media
Total Pages: 250
Release: 2013-10-05
Genre: Computers
ISBN: 3642399371

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Faithful communication is a necessary precondition for large-scale quantum information processing and networking, irrespective of the physical platform. Thus, the problems of quantum-state transfer and quantum-network engineering have attracted enormous interest over the last years, and constitute one of the most active areas of research in quantum information processing. The present volume introduces the reader to fundamental concepts and various aspects of this exciting research area, including links to other related areas and problems. The implementation of state-transfer schemes and the engineering of quantum networks are discussed in the framework of various quantum optical and condensed matter systems, emphasizing the interdisciplinary character of the research area. Each chapter is a review of theoretical or experimental achievements on a particular topic, written by leading scientists in the field. The volume aims at both newcomers as well as experienced researchers.