According to Professor Gilles Brassard, an expert in quantum computing: " The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption.

According to a poll at a Quantum Mechanics workshop in 1997 ,< ref > the Copenhagen interpretation is the most widely-accepted specific interpretation of quantum mechanics, followed by the many-worlds interpretation.

According to the relational interpretation of quantum mechanics, first proposed by Carlo Rovelli, observations such as those in the double-slit experiment result specifically from the interaction between the observer ( measuring device ) and the object being observed ( physically interacted with ), not any absolute property possessed by the object.

According to quantum mechanics, under some conditions

According to the understanding of quantum mechanics known as the Copenhagen interpretation, measurement causes an instantaneous collapse of the wave function describing the quantum system into an eigenstate of the observable state that was measured.

According to the Copenhagen interpretation of quantum mechanics, the quantum state of the system collapses into state I.

According to the present view of the situation, quantum mechanics flatly contradicts Einstein's philosophical postulate that any acceptable physical theory must fulfill " local realism ".

According to the usual rules of quantum mechanics, the actual state of the electron may be any superposition of these states.

According to quantum theory, the particles do not possess definite positions during the periods between measurements.

According to the spin-statistics theorem, particles with integer spin occupy symmetric quantum states, and particles with half-integer spin occupy antisymmetric states ; furthermore, only integer or half-integer values of spin are allowed by the principles of quantum mechanics.

According to the correspondence principle between classical and quantum mechanics, all objects obey the laws of quantum mechanics, and classical mechanics is just an approximation for large systems of objects ( or a statistical quantum mechanics of a large collection of particles ).

According to this interpretation, the probabilistic nature of quantum mechanics is not a temporary feature which will eventually be replaced by a deterministic theory, but instead must be considered a final renunciation of the classical idea of " causality ".

According to the rules of quantum field theory, and the associated Feynman diagrams, the above theory gives rise to three basic interactions: a quark may emit ( or absorb ) a gluon, a gluon may emit ( or absorb ) a gluon, and two gluons may directly interact.

According to the Pauli exclusion principle, fermions cannot share quantum states, so their occupation numbers N < sub > i </ sub > can only take on the value 0 or 1.

According to the Copenhagen interpretation of quantum mechanics, their shared state is indefinite until measured.

According to this vacuum energy explanation, since quantum theory holds that vacuum contains virtual particles, the rapidly moving interface between water and gas converts virtual photons into real photons.

According to Simpson ( 1944 ) quantum evolution relied heavily upon Sewall Wright's theory of random genetic drift.

According to some, quantum mechanics is more strongly ordered than Classical Mechanics, because while Classical Mechanics is chaotic, quantum mechanics is not.

According to Gibbs, the term " statistical ", in the context of mechanics, i. e. statistical mechanics, was first used by the Scottish physicist James Clerk Maxwell in 1871.

According to the theory, wave functions interact with each other and evolve in time in accordance with the laws of quantum mechanics until a measurement is performed, at which point the system takes on one of its possible values, with a probability that's governed by the wave-function.

According to the laws of quantum mechanics, an energy is associated with each electron configuration and, upon certain conditions, electrons are able to move from one orbital to another by emission or absorption of a quantum of energy, in the form of a photon.

According to quantum mechanics, particle pairs are constantly appearing and disappearing as a quantum foam.

According to the principles of quantum mechanics, particles do not actually have trajectories through space.

According to the Copenhagen interpretation of quantum mechanics, quantum evolution is governed by the Schrödinger equation, which is time-symmetric, and by wave function collapse, which is time irreversible.

According to determinism, if someone knows the precise location and momentum of every atom in the universe, their past and future values for any given time are entailed ; they can be calculated from the laws of classical mechanics.

According to Richard Dawkins, a distinction between agnosticism and atheism is unwieldy and depends on how close to zero we are willing to rate the probability of existence for any given god-like entity.

According to Ridenti, who cites the Fernando Henrique Cardoso administration as an example of the first group and the Luiz Inácio Lula da Silva administration as an example of the second, " we have it cyclically ".

According to Ivinskaya, " He did not believe that we would ever publish the manuscript here and felt he had no right to withhold a masterpiece from the world -- this would be an even greater crime.

According to Kenneth S. Rogoff, " Although the development of international capital markets was quite limited prior to 1800, we nevertheless catalog the numerous defaults of France, Portugal, Prussia, Spain, and the early Italian city-states.

According to one study, humans apply a rule of thumb by which we expect a significant event to have a significant cause.

According to Clement, it is through faith in Christ that we are enlightened and come to know God.

According to Hume, we reason inductively by associating constantly conjoined events, and it is the mental act of association that is the basis of our concept of causation.

According to deontology, we have a duty to act in a way that does those things that are inherently good as acts (" truth-telling " for example ), or follow an objectively obligatory rule ( as in rule utilitarianism ).

According to Bertrand Russell's Theory of Descriptions, the negation operator in a singular sentence can take either wide or narrow scope: we distinguish between " some S is not P " ( where negation takes " narrow scope ") and " it is not the case that ' some S is P '" ( where negation takes " wide scope ").

According to astrophysicist Dr. Steinn Sigurdsson, " There are viable bacterial spores that have been found that are 40 million years old on Earth-and we know they're very hardened to radiation.

According to Avogadro ’ s law this volume is same for all ideal gases and if we consider ‘ n ’ moles of an ideal gas at STP, then the equation becomes

According to Eoin O ' Duffy, an Irish national corporatist, " before everything we must give a national lead to our people ... The first essential is national unity.

According to Bloch, other elements of society can be seen in feudal terms ; all the aspects of life were centered on " lordship ", and so we can speak usefully of a feudal church structure, a feudal courtly ( and anti-courtly ) literature, and a feudal economy.

According to the Buddhist point of view, once we have developed a genuine understanding of the causes of suffering, such as craving ( tanha ) and ignorance ( avijja ), then we can completely eradicate these causes and thus be free from suffering.

According to the Polish Kabbalist, " the legend was known to several persons, thus allowing us to speculate that the legend had indeed circulated for some time before it was committed to writing and, consequently, we may assume that its origins are to be traced to the generation immediately following the death of R. Eliyahu, if not earlier.

According to former Indian diplomat G Parthasarathy, " only after we got nothing from the US did arms supplies from the Soviet Union to India commence ".

According to him, law is not entirely based on social facts, but includes the morally best justification for the institutional facts and practices that we intuitively regard as legal.

According to utilitarian thinkers including John Stuart Mill, justice is not as fundamental as we often think.

According to Entwistle, " That toilet was just dust all over the walls by the time we checked out.

According to Snowden, " When he finally offered to pay us, we went up and had a ball.

In the last chapter of the Book of Acts, widely attributed to Luke, we find several accounts in the first person also affirming Luke's presence in Rome including Acts 28: 16: " And when we came to Rome ..." According to some accounts, Luke also contributed to authorship of the Epistle to the Hebrews.

According to Morita, how a person feels is important as a sensation and as an indicator for the present moment, but is uncontrollable: we don't create feelings, feelings happen to us.