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In this thesis we describe methods for avoiding the detrimental effects of decoherence while at the same time still allowing for computation of the quantum information. The philosophy of the method discussed in the first part of this thesis…

Quantum Physics · Physics 2007-05-23 D. Bacon

Different approaches in quantifying environmentally-induced decoherence are considered. We identify a measure of decoherence, derived from the density matrix of the system of interest, that quantifies the environmentally induced error,…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Arkady Fedorov , Leonid Fedichkin , Vladimir Privman

We propose two quantum error correction schemes which increase the maximum storage time for qubits in a system of cold trapped ions, using a minimal number of ancillary qubits. Both schemes consider only the errors introduced by the…

Quantum Physics · Physics 2009-10-30 C. D'Helon , G. J. Milburn

In this chapter, we illustrate how a trapped ion system can be used for the experimental study of quantum thermodynamics, in particular, quantum fluctuation of work. As technology of nano/micro scale develops, it becomes critical to…

Quantum Physics · Physics 2019-02-04 Yao Lu , Shuoming An , Jing-Ning Zhang , Kihwan Kim

Decoherence in Nature has become one of the most pressing problems in physics. Many applications, including quantum information processing, depend on understanding it; and fundamental theories going beyond quantum mechanics have been…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Takahashi , I. S. Tupitsyn , J. van Tol , C. C. Beedle , D. N. Hendrickson , P. C. E. Stamp

Quantum mechanical systems lose coherence through interactions with external environments---a process known as decoherence. Although decoherence is detrimental for most of the tasks in quantum information processing, a substantial degree of…

Quantum Physics · Physics 2017-09-28 Chao Lei , Shijie Peng , Chenyong Ju , Man-Hong Yung , Jiangfeng Du

Electric-field noise due to surfaces disturbs the motion of nearby trapped ions, compromising the fidelity of gate operations that are the basis for quantum computing algorithms. We present a method that predicts the effect of dielectric…

Quantum magnetometry represents a fundamental component of quantum metrology, where trapped-ion systems have achieved $\rm{pT}/\sqrt{\rm{Hz}}$ sensitivity in single-ion radio-frequency magnetic field measurements via dressed states based…

Quantum Physics · Physics 2025-10-28 Yuxiang Huang , Wei Wu , Qingyuan Mei , Yiheng Lin

We investigate theoretically the speed limit of quantum gate operations for ion trap quantum information processors. The proposed methods use laser pulses for quantum gates which entangle the electronic and vibrational degrees of freedom of…

Quantum Physics · Physics 2009-11-06 A. Steane , C. F. Roos , D. Stevens , A. Mundt , D. Leibfried , F. Schmidt-Kaler , R. Blatt

We discuss heating and decoherence in traps for ions and neutral particles close to metallic surfaces. We focus on simple trap geometries and compute noise spectra of thermally excited electromagnetic fields. If the trap is located in the…

Quantum Physics · Physics 2007-05-23 C. Henkel , M. Wilkens

The coherence time of an optically trapped neutral atom is a crucial parameter for quantum technologies. We found that optical dipole traps with higher-order spatial forms inherently offer lower decoherence rates compared to those with…

We analyze the decoherence induced on a single qubit by the interaction with a two-level boson system with critical internal dynamics. We explore how the decoherence process is affected by the presence of quantum phase transitions in the…

Quantum Physics · Physics 2015-05-14 A. Relano , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , P. Perez-Fernandez

In this tutorial we review physical implementation of quantum computing using a system of cold trapped ions. We discuss systematically all the aspects for making the implementation possible. Firstly, we go through the loading and confining…

Quantum Physics · Physics 2015-06-26 Marek Sasura , Vladimir Buzek

In this paper we describe one of the most promising platforms for the construction of a universal quantum computer, which consists of a chain of $N$ ions trapped in a harmonic potential, whose internal states work out as qubits, and are…

Effective descriptions accounting for the evolution of quantum systems that are acted on by a bath are desirable. As the number of bath degrees of freedom increases and full quantum simulations turn out computationally prohibitive, simpler…

Quantum Physics · Physics 2014-02-18 A. S. Sanz

Ultra-cold atoms trapped in an optical dipole trap and prepared in a coherent superposition of their hyperfine ground states, decohere as they interact with their environment. We demonstrate than the loss in coherence in an "echo"…

Quantum Physics · Physics 2016-08-16 M. F. Andersen , A. Kaplan , T. Grünzweig , N. Davidson

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 Physics · Physics 2007-05-23 D. J. Wineland , C. Monroe , W. M. Itano , D. Leibfried , B. E. King , D. M. Meekhof

We present a theoretical model for the dynamics of an electron that gets trapped by means of decoherence and quantum interference in the central quantum dot (QD) of a semiconductor nanoring (NR) made of five QDs, between 100 K and 300 K.…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Ahmed El Halawany , Michael N. Leuenberger

Recently, several groups have investigated quantum analogues of random walk algorithms, both on a line and on a circle. It has been found that the quantum versions have markedly different features to the classical versions. Namely, the…

Quantum Physics · Physics 2009-11-07 B. C. Travaglione , G. J. Milburn

Despite more than a decade of research on adiabatic quantum computation (AQC), its decoherence properties are still poorly understood. Many theoretical works have suggested that AQC is more robust against decoherence, but a quantitative…

Mesoscale and Nanoscale Physics · Physics 2013-04-01 Qiang Deng , Dmitri V. Averin , Mohammad H. Amin , Peter Smith