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Quantum computing with trapped ions

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TLDR
In this article, the authors review recent experimental advances towards a quantum computer with trapped ions and present some implementations of quantum algorithms such as deterministic teleportation of quantum information and an error correction scheme.
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This article is published in Physics Reports.The article was published on 2008-12-01 and is currently open access. It has received 932 citations till now. The article focuses on the topics: Quantum network & Quantum error correction.

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Entanglement detection

TL;DR: In this article, the basic elements of entanglement theory for two or more particles and verification procedures, such as Bell inequalities, entangle witnesses, and spin squeezing inequalities, are discussed.
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Quantum simulations with trapped ions

TL;DR: In this paper, the authors present a review of experiments in controlling and manipulating trapped atomic ions, together with the methods and tools that have enabled them, and provide an outlook on future directions in the field.
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A quantum engineer's guide to superconducting qubits

TL;DR: In this paper, the authors provide an introductory guide to the central concepts and challenges in the rapidly accelerating field of superconducting quantum circuits, including qubit design, noise properties, qubit control and readout techniques.
Journal Article

Quantum simulations with trapped ions

TL;DR: In this article, the authors report on quantum simulations using trapped ions to investigate quantum relativistic effects and spin systems and use them to make predictions on another quantum system under investigation.
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An open-system quantum simulator with trapped ions

TL;DR: This work combines multi-qubit gates with optical pumping to implement coherent operations and dissipative processes and illustrates the ability to engineer the open-system dynamics through the dissipative preparation of entangled states, the simulation of coherent many-body spin interactions, and the quantum non-demolition measurement of multi- qubit observables.
References
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Book

Quantum Computation and Quantum Information

TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
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Quantum computation and quantum information

TL;DR: This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing, with a focus on entanglement.
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Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

TL;DR: An unknown quantum state \ensuremath{\Vert}\ensure Math{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.
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On the Einstein-Podolsky-Rosen paradox

TL;DR: In this article, it was shown that even without such a separability or locality requirement, no hidden variable interpretation of quantum mechanics is possible and that such an interpretation has a grossly nonlocal structure, which is characteristic of any such theory which reproduces exactly the quantum mechanical predictions.
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Simulating physics with computers

TL;DR: In this paper, the authors describe the possibility of simulating physics in the classical approximation, a thing which is usually described by local differential equations, and the possibility that there is to be an exact simulation, that the computer will do exactly the same as nature.
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