Quantum meruit

“ Although the physics is well understood, developing devices that compute with quantum mechanics is technologically daunting. While experiments to date manipulate only a handful of quantum bits [1] , we consider what effort is required to build a large-scale quantum computer. This objective demands more than a cursory estimate of the number of qubits and gates required for a given algorithm. One must consider the faulty quantum hardware, with errors caused by both the environment and deliberate control operations; the classical processing required when error correction is invoked ”

“ The fluorescence quantum yields and the molar extinction coefficients at the respective absorption maximum were determined relative to the reported values of EGFP (quantum yield ΦFL = 0.60, molar extinction coefficient at 489 nm ε = 53,000 M−1 cm−1) ( [11] ) . Irradiation-dependent changes in the absorption were quantified by illuminating the protein solution in a cuvette with a fiber coupled mercury lamp (Lecia Microsystems, Wetzlar, Germany) equipped with a (488 ± 5) nm excitation filter. For each measurement of the spectrum the irradiation was briefly interrupted. ”

“ FIG. 3. Quantum dots in a planar optical microcavity form the basis of the QuDOS hardware platform. (a) The quantum dots are arranged 1 �m apart in a two-dimensional square array. The quantum dots trap single electrons, whose spins will be used for quantum information processing. (b) Side view. The electron spins are manipulated with laser pulses sent into the optical cavity from above, and two neighboring quantum dots can be coupled by a laser optical field that overlaps them. The purple and green layers are AlGaAs and GaAs, grown by molecular-beam epitaxy. ”

“ In the discussion of these questions, it must be kept in mind that, according to the view taken above, radiation in free space as well as isolated material particles are abstractions, their properties on the quantum theory being definable and observable only through their interaction with other systems. ”

“ As an example, a virtual qubit may be defined by a decoherence-free subspace [67–69] constructed from three electron spins; when considered as a whole, three spins have many more degrees of freedom than a single qubit. Similar behavior is seen in the quantum gates in QuDOS, which actually consist of a
FIG. 6. The mechanics of the Virtual layer. The outputs of Layer 1 are combined in controlled sequences to produce virtual qubits and gates. Arrows indicate how the output of one process is used by another process. sequence of laser pulses. ”

“ The very nature of the quantum theory thus forces us to regard the space-time co-ordination and the claim of causality, the union of which characterises the classical theories, as complementary but exclusive features of the description, symbolising the idealisation of observation and definition respectively. ”

“ Electrons, when they were first discovered, behaved exactly like particles or bullets, very simply. Further research showed, from electron diffraction experiments for example, that they behaved like waves. As time went on there was a growing confusion about how these things really behaved – waves or particles, particles or waves ? Everything looked like both.
This growing confusion was resolved in 1925 or 1926 with the advent of the correct equations for quantum mechanics. Now we know how the electrons and light behave. But what can I call it? ”

“ Such a calculation gives 10.5 volts for the ionization potential instead of 4.9 volts [28] . If the above considerations are correct it will be seen that Franck and Hertz’s measurements give very strong support to the theory considered in this paper. If, on the other hand, the ionization potential of mercury should prove to be as low as assumed by Franck and Hertz, it would constitute a serious difficulty for the above interpretation of the Rydberg constant, at any rate for the mercury spectrum, since this spectrum contains lines of greater frequency than the line 2536. ”

“ If the electron moves in a fixed Kepler ellipse, the energy content of the atom will be determined by the major axis of the ellipse only. If these axes for the stationary states with quantum numbers 1, 2, 3 ... are respectively denoted by 2a1, 2a2, 2a3 ... the frequency, for instance, in the transition from No. 3 to No. 2—since it is determined by the loss of energy—will be the same whether the orbits are circles or ellipses. ”

“ The depth of mercury required in an iron jar is stated by Lord Grimthorpe to be 81/2 to 9 in. The reason why it is greater than it is when a glass jar is employed is that iron has a larger coefficient of expansion than glass, and that it is also heavier. In all cases, however, of mercury pendulums experiment seems to be the only ultimate test of the quantity of mercury required, for the results are so complicated by the behaviour of the oil and the barometric errors that at its best the regulation of a clock can only be ultimately a matter of scientifically guided compromise. ”

“ The amount of mercury which combines with 16 parts by weight of oxygen is easily found by heating a weighed quantity of oxide of mercury, as Priestley and Scheele did, and weighing the residue of metal. The results of the most accurate experiments show that 200·36 grams of mercury combine with 16 grams of oxygen, and if the compound consists of one atom of each element, 200·36 must be the atomic weight of mercury. The first idea which naturally occurs is to find out the relative weight of mercury gas. ”

“ Just the right quantity of mercury leaves the impression of a transparent, pearly white tone, which improves in the highest degree in gilding. To mercurialize with exactness is a nice point. If there is reason to suspect having timed rather short in the camera, reduce the time over mercury in a corresponding proportion. A dark impression will be ruined by the quantity of mercury which would only improve a light one.
If practicable, it is most expedient that the plate be submitted to the action of mercury immediately on coming from the camera. ”

“ This atmosphere, whatever may be its nature I do not assume, tempers the heat and cold on Mercury to a degree comparable to the earth. But I do believe that it makes the planet—on its dark face particularly—capable of supporting intelligent life of some form.
Mercury was in transit over the face of the sun on November 11, of last year, within a few hours of the time the first meteor fell to earth. The planet was therefore at one of her closest points to the earth, and—this is significant—was presenting her dark face toward us. ”

“ As many of the compounds of mercury decompose on being heated—for instance, the oxide or carbonate [17] —and as zinc, cadmium, copper, iron, and other metals separate mercury from its salts, [18] it is evident [51] that mercury has less chemical energy than the metals already described, even than zinc and cadmium. Nitric acid, when acting on an excess of mercury at the ordinary temperature, gives mercurous nitrate, HgNO3. ”

“ It is well known to the experienced Daguerreotypist, that different atmospheres have a decided effect upon the mercury in developing the Daguerreotype. It will require a greater degree of heat for one atmosphere than for another. Experience alone determines this little difference.
In summer, on cloudy and stormy days, mercurial vapors rise more readily and quickly than in the temperature of autumn or winter. From 60 degrees upwards towards the boiling point (660 deg.) , the vapors of mercury rise in greater abundance and collect in larger globules on cold surfaces. ”

“ Several of the ablest Chymists, such as Becher and Stahl, are of opinion that the Marine Acid is no other than the Universal Acid united to a particular principle which they call a Mercurial Earth. Concerning this earth we shall have occasion to say more, when we come to treat of metallic substances: but in the mean time it must be owned, that the truth of this opinion is so far from being proved by a sufficient number of experiments, that the very existence of such a mercurial earth is not yet well established ”

“ Mercury treated according to the process here delivered hath all the appearance of a metalline calx, but it hath no more: for, if it be exposed to a pretty strong degree of fire, it sublimes, and is wholly reduced to running Mercury, without the addition of any other inflammable matter; which proves that during this long calcination it lost none of its phlogiston.
The volatile nature of Mercury, which permits it not to bear a heat of any strength without subliming, prevents our examining all the effects that fire is capable of producing on it. ”

“ The Cones were weightless. How I knew I cannot say—but now, almost touching them, I did know. Nebulous, yet solid, were they; compact, yet tenuous, dense and unsubstantial.
Again the thought came to me—they were force made visible; energy made concentrate into matter.
We skirted, seeking for the tablet over which the Keeper had hovered; the mechanism which, under his tentacles, had shifted the circling shields, thrust the spear of green fire into the side of the wounded sun. Hesitantly I touched the crystal base ”

“ It drew back for a short distance by capillary attraction and the acid followed it up.
"You can see that connections are made to the mercury in the arm and the tube by short pieces of platinum wire," he continued. "It isn't necessary to go into the theory of the instrument. But the most minute difference of potential between the two masses of mercury will cause the fine point at the junction of the liquids to move up and down.
"Connected to the aerial and the earth, with a crystal detector in series, it is only a matter of applying an ordinary photo-recording drum, and the machine is made." ”

“ In the liquid state the adhesion of the mercury to the metallic body plunged into it and afterwards withdrawn, varies with the rapidity of the motion and with the purity of the mercury. Frequently—I may say always—the inversion takes place too soon or too late, and thus gives rise to an attraction or repulsion, in a contrary direction to the rotation. Moreover it is very difficult to preserve the mercury pure when in contact with other metals; and even the purest mercury is disposed to oxidize easily under the influence of the electric sparks. ”

“ In a degree of heat in which it would rise easily in vapour, mercury imbibes pure air, and becomes a red calx, called precipitate per se. At a greater degree of heat it parts with that air, and is running mercury again.
Mercury is not perceptibly altered by exposure to the air.
Mercury is acted upon by the vitriolic acid when hot. In this process vitriolic acid air is procured, and the mercury is converted into a white substance, which being dipped in water becomes yellow, called turbith mineral, one third heavier than the mercury from which it was made. ”

“ But a real fleet was clustered about the city. Arcot approached low, and was able to get quite close before detection. His ray screen was up and Morey had charged the artificial matter apparatus, small as it was, for operation. He created a ball of substance outside the Ancient Mariner, and thrust it toward the nearest Thessian, just as a molecular hit the Ancient Mariner's ray screen.
The artificial matter instantly exploded with terrific violence, slightly denting the tremendously strong lux metal walls. The pressure of the light was so great that the inner relux walls were dented inward. ”

“ A.D. 1705.—Hauksbee (Francis) , English natural philosopher and Curator of the Royal Society, makes, before the latter, several [150] experiments on the mercurial phosphorus. He shows that a considerable quantity of light can be produced by agitating mercury in partly exhausted as well as in thoroughly exhausted glass vessels. When the mercury is made to break into a shower, flashes of light are seen to start everywhere “in as strange a form as lightning.”
He also showed light in vacuo produced by rubbing amber and by rubbing glass upon woollen. ”

“ Ehrenhaft says further that he photographs big mercury droplets and finds them spherical and free from oxides. But the fact that some drops are pure mercury is no reason for assuming that all of them are, and it is only the data on those which are not which he publishes. Further, because big drops which he can see and measure are of mercury is no justification at all for assuming that sub-microscopic particles are necessarily also spheres of pure mercury. ”

“ Mercury dissolves it with great ease. It dissolves in potassium cyanide in the presence of air; a mixture of sulphuric acid with nitric acid dissolves it with the aid of heat, although in small quantity. It is also soluble in aqua regia and in selenic acid. Sulphuric, hydrochloric, nitric, and hydrofluoric acids and the caustic alkalis do not act on gold, but a mixture of hydrochloric acid with such oxidising agents as evolve chlorine naturally dissolves it like aqua regia. ”

“ Or again, if a mercury surface be simply touched with a pin, the slight sparking that is produced on making the current will soon form a little pile of dirty oxide at the point of entry, and the contact will frequently fail. If it be necessary to have a mercury contact, the pin must be well driven in below the surface of the mercury or else swept through it as an oar is swept through the water. Another form of electrical contact that acts well is a knife edge brought into contact with a series of fine elastic strips of metal laid parallel to one another like the fingers of a hand. ”