The Basic Principle

The ion trap QC (Cirac and Zoller 1995) is based on qubits stored in internal levels of ions as described in Sect. 6.2.2. A string of ions is stored in a linear ion trap as schematically depicted in Fig. 6.3. A few details on this technology are given 

Prior to any computation we need to cool the motion of this string of ions down to almost zero-point energy. This can be done with appropriate laser cooling techniques. We will briefly review this technique in Sect. 6.4.5. Once the string of ions is at rest we can start computing and convey quantum information between the ions by inducing vibrations in the string of ions with laser beams. 

6 Quantum Computers First Steps Towards a Realization 

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In this paper, we have exposed a solution to improve the resolution in Low Frequency Ultrasonic Tomography. Since the basic principle of ultrasonic reflection tomography prohibits the inspection of objects with strong contrast and large extension, we turn down the frequency of the transducer, in order to increase the penetration length of the wave and the validity of the method. But this is done at the expense of resolution. 

The purpose of this chapter is to provide an introduction to tlie basic framework of quantum mechanics, with an emphasis on aspects that are most relevant for the study of atoms and molecules. After siumnarizing the basic principles of the subject that represent required knowledge for all students of physical chemistry, the independent-particle approximation so important in molecular quantum mechanics is introduced. A significant effort is made to describe this approach in detail and to coimnunicate how it is used as a foundation for qualitative understanding and as a basis for more accurate treatments. Following this, the basic teclmiques used in accurate calculations that go beyond the independent-particle picture (variational method and perturbation theory) are described, with some attention given to how they are actually used in practical calculations. 

An excellent treatment of molecular quantum mechanics, on a level comparable to that of Szabo and Ostiund. The scope of this book is quite different, however, as it focuses mainly on the basic principles of quantum mechanics and the theoretical treatment of spectroscopy. 

Because surface science employs a multitude of teclmiques, it is necessary that any worker in the field be acquainted with at least the basic principles underlying tlie most popular ones. These will be briefly described here. For a more detailed discussion of the physics underlymg the major surface analysis teclmiques, see the appropriate chapter m this encyclopedia, or [49]. 

Joy D C 1986 The basic principles of EELS Principles of Analytical Electron Microscopy ed D C Joy, A D Romig Jr and J I Goldstein (New York Plenum)... 

The principles of operation of quadnipole mass spectrometers were first described in the late 1950s by Wolfgang Paul who shared the 1989 Nobel Prize in Physics for this development. The equations governing the motion of an ion in a quadnipole field are quite complex and it is not the scope of the present article to provide the reader with a complete treatment. Rather, the basic principles of operation will be described, the reader being referred to several excellent sources for more complete infonnation [13, H and 15]. 

The basic principle behind TOP mass spectrometry [36] is tire equation for kinetic energy, ze V... 

To become familiar with the application of the basic principles of the model building process by means of calculating log P and log 5 values... 

Ithough knowledge-based potentials are most popular, it is also possible to use other types potential function. Some of these are more firmly rooted in the fundamental physics of iteratomic interactions whereas others do not necessarily have any physical interpretation all but are able to discriminate the correct fold from decoy structures. These decoy ructures are generated so as to satisfy the basic principles of protein structure such as a ose-packed, hydrophobic core [Park and Levitt 1996]. The fold library is also clearly nportant in threading. For practical purposes the library should obviously not be too irge, but it should be as representative of the different protein folds as possible. To erive a fold database one would typically first use a relatively fast sequence comparison lethod in conjunction with cluster analysis to identify families of homologues, which are ssumed to have the same fold. A sequence identity threshold of about 30% is commonly... 

Both 2-hydroxythiazoie and 2-mercaptothiazoIe have been studied to determine the position of the protomeric equilibrium 43 7 43a 43b (Scheme 17). Most studies indicate that form 43a is largely predominant in neutral solution for X = 0 and X=S (52-56, 887, 891). The basic principle is to compare a physical property of the investigated product with that of a model representative of each protomeric form. The similarity of physicochemical properties between the product and one of the model compounds is taken as evidence for the position of the protomeric equilibrium. The limits of such an approach have been discussed in detail elsewhere (57). 

By combining the basic principles of lUPAC notation with the names of the various alkyl groups we can develop systematic names for highly branched alkanes We 11 start with the following alkane name it then increase its complexity by successively adding methyl groups at various positions... 

The basic principles of fast-atom bombardment (FAB) and liquid-phase secondary ion mass spectrometry (LSIMS) are discussed only briefly here because a fuller description appears in Chapter 4. This chapter focuses on the use of FAB/LSIMS as part of an interface between a liquid chromatograph (LC) and a mass spectrometer (MS), although some theory is presented. 

E. F. Kniphng, The Basic Principles of Insect Population Suppression and Control, U.S. Dept. Agdcultural Handbook No. 512, Washiagton, D.C., 1976. 

Theory and Equipment. The basic principle behind nuclear medical imaging is that a radiopharmaceutical can be introduced into the body which emits radiation detectable outside of the body. Radiopharmaceuticals are biologically active and have a short half-life (Si/q)- The detectable radiation... 

P. Eresenius, Organic Chemical Nomenclature-. Introduction to the Basic Principles, John WUey Sons, Inc., New York, 1989 (trans. from German ed., 1983). 

I. Kovacevic, The Basic Principles of the Cultivation and Selection ofHacyelnuts, NOLIT, Belgrade, 1962. 

This new optical data storage device is reported to be robust and nonvolatile. The response time for the write—read beam is in the subnanosecond range, and no refreshing is requked for long-term retention of trapped charges (95). The basic principle may be appHed to other, similar photoconductive materials. 

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