Introduction to Quantum Information
... celebrated theorem that bears his name (of which more below) (Bayes 1763). His key idea was that probabilities depend on what you know; if we acquire additional information then this modifies the probabilities. Today such reasoning is uncontentious and forms part of the prevailing paradigm in much o ...
... celebrated theorem that bears his name (of which more below) (Bayes 1763). His key idea was that probabilities depend on what you know; if we acquire additional information then this modifies the probabilities. Today such reasoning is uncontentious and forms part of the prevailing paradigm in much o ...
QBism, the Perimeter of Quantum Bayesianism
... quantum states look, act, and feel like information in the technical sense of the word—the sense provided by probability theory and Shannon’s information theory. There is no more beautiful demonstration of this than Robert Spekkens’s “toy model” for mimicking various features of quantum mechanics [1 ...
... quantum states look, act, and feel like information in the technical sense of the word—the sense provided by probability theory and Shannon’s information theory. There is no more beautiful demonstration of this than Robert Spekkens’s “toy model” for mimicking various features of quantum mechanics [1 ...
The Thomas-Fermi Theory of Atoms, Molecules and
... the TF equation and the TF energy functional of Lenz [46]. It is these questions, among others, that we wish to answer in this paper. We consider questions (i) and (iii) in Section II and question (ii) in Section III. In Sections IV-VII, we discuss further elements of the theory. Among our most sign ...
... the TF equation and the TF energy functional of Lenz [46]. It is these questions, among others, that we wish to answer in this paper. We consider questions (i) and (iii) in Section II and question (ii) in Section III. In Sections IV-VII, we discuss further elements of the theory. Among our most sign ...
The Physics of Low-energy Electron-Molecule Collisions
... If the target is a diatomic molecule,as in Fig. 3, we could use prolate-spheroidal coordinates,with the foci of the elliptical and hyperbolic coordinates located at the nuclear centres. The numerical solution of the scattering problem as formulated in thesecoordinatesis decidedly non-trivial, but pr ...
... If the target is a diatomic molecule,as in Fig. 3, we could use prolate-spheroidal coordinates,with the foci of the elliptical and hyperbolic coordinates located at the nuclear centres. The numerical solution of the scattering problem as formulated in thesecoordinatesis decidedly non-trivial, but pr ...
Quantum computation and Shor`s factoring algorithm
... Computation may be defined as the systematic creation of symbols (the ‘‘output’’) which, under a given method of interpretation, have abstract properties that were specified in other symbols (the ‘‘input’’). ‘‘Symbols’’ here are physical objects, and computation is a physical process performed by a ...
... Computation may be defined as the systematic creation of symbols (the ‘‘output’’) which, under a given method of interpretation, have abstract properties that were specified in other symbols (the ‘‘input’’). ‘‘Symbols’’ here are physical objects, and computation is a physical process performed by a ...
15. GRAND UNIFIED THEORIES 15. Grand Unified Theories 15.1. Grand Unification 1
... unequal gauge couplings at the weak scale with g3 > g > g . The solution is given in terms of the concept of an effective field theory [EFT] [16]. The GUT symmetry is spontaneously broken at the scale MG , and all particles not in the SM obtain mass of order MG . When calculating Green’s functions w ...
... unequal gauge couplings at the weak scale with g3 > g > g . The solution is given in terms of the concept of an effective field theory [EFT] [16]. The GUT symmetry is spontaneously broken at the scale MG , and all particles not in the SM obtain mass of order MG . When calculating Green’s functions w ...
Escher`s Tessellations: The Symmetry of Wallpaper Patterns III
... The series in blue results from doing a vertical reflection followed by a 90 degree rotation. The series in red results from performing the two isometries in the opposite order. Since the results are different, the order in which isometries are performed matters. Symmetry III ...
... The series in blue results from doing a vertical reflection followed by a 90 degree rotation. The series in red results from performing the two isometries in the opposite order. Since the results are different, the order in which isometries are performed matters. Symmetry III ...
modified actions for gravity: theory and phenomenology
... and (ab)use of the English language. I cannot thank enough my collaborators Enrico Barausse and Valerio Faraoni, not only for their hard work on our common projects, but also for numerous hours of conversation and debate mostly, but definitely not exclusively, on scientific issues. It has really bee ...
... and (ab)use of the English language. I cannot thank enough my collaborators Enrico Barausse and Valerio Faraoni, not only for their hard work on our common projects, but also for numerous hours of conversation and debate mostly, but definitely not exclusively, on scientific issues. It has really bee ...
Quantum Mechanics
... Quantum mechanics was developed as a response to the inability of the classical theories of mechanics and electromagnetism to provide a satisfactory explanation of some of the properties of electromagnetic radiation and of atomic structure. As a result, a theory has emerged whose basic principles ca ...
... Quantum mechanics was developed as a response to the inability of the classical theories of mechanics and electromagnetism to provide a satisfactory explanation of some of the properties of electromagnetic radiation and of atomic structure. As a result, a theory has emerged whose basic principles ca ...
Manifestations of Berry`s phase in molecules and condensed matter
... will further assume that the ground state |ψ0 (ξ) is non-degenerate for any value of ξ in the parameter domain; the 0 subscript is omitted in most of this work, in order to avoid an undue burden of notation. We start by defining the phase difference between the ground eigenstates at two different ξ ...
... will further assume that the ground state |ψ0 (ξ) is non-degenerate for any value of ξ in the parameter domain; the 0 subscript is omitted in most of this work, in order to avoid an undue burden of notation. We start by defining the phase difference between the ground eigenstates at two different ξ ...
The Compton-Schwarzschild correspondence from extended de
... to wave functions that are consistently defined for all energy scales. The underlying theory is an extended form of canonical non-relativistic quantum mechanics which, at first sight, appears to be non-gravitational, in the sense that the results obtained do not require the introduction of a classic ...
... to wave functions that are consistently defined for all energy scales. The underlying theory is an extended form of canonical non-relativistic quantum mechanics which, at first sight, appears to be non-gravitational, in the sense that the results obtained do not require the introduction of a classic ...
Statistical Mechanics to Disordered Quantum Optimization
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
Gregor Wentzel - National Academy of Sciences
... Habilitation in 1922 and became a Privatdozent (roughly the equivalent of what today would be an assistant professor). In 1926 Wentzel moves to the University of Leipzig as an a. o. Professor (roughly an associate professor). Then in 1928 he is appointed Erwin Schrödinger’s successor as professor of ...
... Habilitation in 1922 and became a Privatdozent (roughly the equivalent of what today would be an assistant professor). In 1926 Wentzel moves to the University of Leipzig as an a. o. Professor (roughly an associate professor). Then in 1928 he is appointed Erwin Schrödinger’s successor as professor of ...
Quantum Theory: a Pragmatist Approach
... person holding it. If so, even the arch subjectivist de Finetti here adopts a natural property account of probability! Of course, he would insist that different persons may, and often do, hold different beliefs, which makes probability personalist—varying from person to person—and to that extent su ...
... person holding it. If so, even the arch subjectivist de Finetti here adopts a natural property account of probability! Of course, he would insist that different persons may, and often do, hold different beliefs, which makes probability personalist—varying from person to person—and to that extent su ...
Polarized interacting exciton gas in quantum wells and bulk semiconductors
... built upon. In any case, spin splitting is beyond the scope of those spinless excitons theories. We present in this paper a theory of spin-dependent exciton-exciton interaction in two and three dimensions ~2D and 3D!. Such interaction produces a gas with a difference in the spin populations, a level ...
... built upon. In any case, spin splitting is beyond the scope of those spinless excitons theories. We present in this paper a theory of spin-dependent exciton-exciton interaction in two and three dimensions ~2D and 3D!. Such interaction produces a gas with a difference in the spin populations, a level ...
Confusions about fuzzballs and the information paradox
... from the evolution in a lab, then he will have to find a concrete reason to distinguish what is happening in the black hole from what is happening in the lab. Student: That’s fine with me ... I am happy to agree that in the traditional picture of gravitational collapse there is nothing happening at ...
... from the evolution in a lab, then he will have to find a concrete reason to distinguish what is happening in the black hole from what is happening in the lab. Student: That’s fine with me ... I am happy to agree that in the traditional picture of gravitational collapse there is nothing happening at ...
