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HSAB is an acronym for "hard and soft (Lewis) acids and bases". HSAB is widely used in chemistry for explaining the stability of compounds, reaction mechanisms and pathways. It assigns the terms 'hard' or 'soft', and 'acid' or 'base' to chemical species. 'Hard' applies to species which are small, have high charge stat... | Wikipedia/HSAB_theory |
Macroeconomics is a branch of economics that deals with the performance, structure, behavior, and decision-making of an economy as a whole. This includes regional, national, and global economies. Macroeconomists study topics such as output/GDP (gross domestic product) and national income, unemployment (including unempl... | Wikipedia/Macroeconomic_theory |
The Debye–Hückel theory was proposed by Peter Debye and Erich Hückel as a theoretical explanation for departures from ideality in solutions of electrolytes and plasmas.
It is a linearized Poisson–Boltzmann model, which assumes an extremely simplified model of electrolyte solution but nevertheless gave accurate predict... | Wikipedia/Debye–Hückel_theory |
Benson group-increment theory (BGIT), group-increment theory, or Benson group additivity uses the experimentally calculated heat of formation for individual groups of atoms to calculate the entire heat of formation for a molecule under investigation. This can be a quick and convenient way to determine theoretical heats... | Wikipedia/Benson_group_increment_theory |
Medical research (or biomedical research), also known as health research, refers to the process of using scientific methods with the aim to produce knowledge about human diseases, the prevention and treatment of illness, and the promotion of health.
Medical research encompasses a wide array of research, extending from ... | Wikipedia/Medical_theory |
Theory is a type of abstract or generalizing thinking, or its result.
Theory may also refer to:
Scientific theory, a well-substantiated explanation of some aspect of the natural world
Social theory, an analytical framework or paradigm that is used to study and interpret social phenomena
Philosophical theory, a positio... | Wikipedia/Theory_(disambiguation) |
A philosophical theory or philosophical position is a view that attempts to explain or account for a particular problem in philosophy. The use of the term "theory" is a statement of colloquial English and not a technical term. While any sort of thesis or opinion may be termed a position, in analytic philosophy it is th... | Wikipedia/Philosophical_theory |
In chemistry, transition state theory (TST) explains the reaction rates of elementary chemical reactions. The theory assumes a special type of chemical equilibrium (quasi-equilibrium) between reactants and activated transition state complexes.
TST is used primarily to understand qualitatively how chemical reactions tak... | Wikipedia/Transition_state_theory |
Color theory, or more specifically traditional color theory, is a historical body of knowledge describing the behavior of colors, namely in color mixing, color contrast effects, color harmony, color schemes and color symbolism. Modern color theory is generally referred to as color science. While there is no clear disti... | Wikipedia/Color_theory |
Computer science is the study of computation, information, and automation. Computer science spans theoretical disciplines (such as algorithms, theory of computation, and information theory) to applied disciplines (including the design and implementation of hardware and software).
Algorithms and data structures are cen... | Wikipedia/Computer_Science |
Virtue ethics (also aretaic ethics, from Greek ἀρετή [aretḗ]) is a philosophical approach that treats virtue and character as the primary subjects of ethics, in contrast to other ethical systems that put consequences of voluntary acts, principles or rules of conduct, or obedience to divine authority in the primary role... | Wikipedia/Virtue_theory |
Møller–Plesset perturbation theory (MP) is one of several quantum chemistry post-Hartree–Fock ab initio methods in the field of computational chemistry. It improves on the Hartree–Fock method by adding electron correlation effects by means of Rayleigh–Schrödinger perturbation theory (RS-PT), usually to second (MP2), th... | Wikipedia/Møller–Plesset_perturbation_theory |
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.
As an illustration, suppose that we are interested in the properties of a function f (n) as n becomes very large. If f(n) = n2 + 3n, then as n becomes very large, the term 3n becomes insignificant comp... | Wikipedia/Asymptotic_theory |
Attribution is a term used in psychology which deals with how individuals perceive the causes of everyday experience, as being either external or internal. Models to explain this process are called Attribution theory. Psychological research into attribution began with the work of Fritz Heider in the early 20th century,... | Wikipedia/Attribution_theory |
Ligand field theory (LFT) describes the bonding, orbital arrangement, and other characteristics of coordination complexes. It represents an application of molecular orbital theory to transition metal complexes. A transition metal ion has nine valence atomic orbitals - consisting of five nd, one (n+1)s, and three (n+1)p... | Wikipedia/Ligand_field_theory |
The germ theory of disease is the currently accepted scientific theory for many diseases. It states that microorganisms known as pathogens or "germs" can cause disease. These small organisms, which are too small to be seen without magnification, invade animals, plants, and even bacteria. Their growth and reproduction w... | Wikipedia/Germ_theory |
Landau theory (also known as Ginzburg–Landau theory, despite the confusing name) in physics is a theory that Lev Landau introduced in an attempt to formulate a general theory of continuous (i.e., second-order) phase transitions. It can also be adapted to systems under externally-applied fields, and used as a quantitati... | Wikipedia/Landau_theory |
Attachment theory is a psychological and evolutionary framework, concerning the relationships between humans, particularly the importance of early bonds between infants and their primary caregivers. Developed by psychiatrist and psychoanalyst John Bowlby (1907–90), the theory posits that infants need to form a close re... | Wikipedia/Attachment_theory |
In chemistry, molecular orbital theory (MO theory or MOT) is a method for describing the electronic structure of molecules using quantum mechanics. It was proposed early in the 20th century. The MOT explains the paramagnetic nature of O2, which valence bond theory cannot explain.
In molecular orbital theory, electrons ... | Wikipedia/Molecular_orbital_theory |
Flory–Huggins solution theory is a lattice model of the thermodynamics of polymer solutions which takes account of the great dissimilarity in molecular sizes in adapting the usual expression for the entropy of mixing. The result is an equation for the Gibbs free energy change
Δ
... | Wikipedia/Flory–Huggins_solution_theory |
Value theory, also called axiology, studies the nature, sources, and types of values. It is a branch of philosophy and an interdisciplinary field closely associated with social sciences such as economics, sociology, anthropology, and psychology.
Value is the worth of something, usually understood as covering both posit... | Wikipedia/Value_theory |
In the field of psychology, cognitive dissonance is described as a mental phenomenon in which people unknowingly hold fundamentally conflicting cognitions. Being confronted by situations that challenge this dissonance may ultimately result in some change in their cognitions or actions to cause greater alignment between... | Wikipedia/Cognitive_dissonance_theory |
In chemistry, valence bond (VB) theory is one of the two basic theories, along with molecular orbital (MO) theory, that were developed to use the methods of quantum mechanics to explain chemical bonding. It focuses on how the atomic orbitals of the dissociated atoms combine to give individual chemical bonds when a mole... | Wikipedia/Valence_bond_theory |
In electrical engineering and electronics, a network is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values; however, for the most part, the techniques assume ... | Wikipedia/Circuit_theory |
In organic chemistry, ring strain is a type of instability that exists when bonds in a molecule form angles that are abnormal. Strain is most commonly discussed for small rings such as cyclopropanes and cyclobutanes, whose internal angles are substantially smaller than the idealized value of approximately 109°. Becau... | Wikipedia/Baeyer_strain_theory |
Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin (bosons) and particles with half-integer spin (fermions). It proposes that for every known particle, there exists a partner particle with different spin properties. There have been multiple ... | Wikipedia/Supersymmetric_theory |
In chemistry, frontier molecular orbital theory is an application of molecular orbital theory describing HOMO–LUMO interactions.
== History ==
In 1952, Kenichi Fukui published a paper in the Journal of Chemical Physics titled "A molecular theory of reactivity in aromatic hydrocarbons." Though widely criticized at the... | Wikipedia/Frontier_molecular_orbital_theory |
The Brønsted–Lowry theory (also called proton theory of acids and bases) is an acid–base reaction theory which was developed independently in 1923 by physical chemists Johannes Nicolaus Brønsted (in Denmark) and Thomas Martin Lowry (in the United Kingdom). The basic concept of this theory is that when an acid and a bas... | Wikipedia/Brønsted–Lowry_acid–base_theory |
Justification (also called epistemic justification) is a property of beliefs that fulfill certain norms about what a person should believe. Epistemologists often identify justification as a component of knowledge distinguishing it from mere true opinion. They study the reasons why someone holds a belief. Epistemologist... | Wikipedia/Theory_of_justification |
Rubber elasticity is the ability of solid rubber to be stretched up to a factor of 10 from its original length, and return to close to its original length upon release. This process can be repeated many times with no apparent degradation to the rubber.
Rubber, like all materials, consists of molecules. Rubber's elastic... | Wikipedia/Thermodynamic_theory_of_polymer_elasticity |
Metaphysics (Greek: των μετὰ τὰ φυσικά, "those after the physics"; Latin: Metaphysica) is one of the principal works of Aristotle, in which he develops the doctrine that he calls First Philosophy. The work is a compilation of various texts treating abstract subjects, notably substance theory, different kinds of causati... | Wikipedia/Metaphysics_(Aristotle) |
Rules of inference are ways of deriving conclusions from premises. They are integral parts of formal logic, serving as norms of the logical structure of valid arguments. If an argument with true premises follows a rule of inference then the conclusion cannot be false. Modus ponens, an influential rule of inference, con... | Wikipedia/Rules_of_inference |
Critical pedagogy is a philosophy of education and social movement that developed and applied concepts from critical theory and related traditions to the field of education and the study of culture.
It insists that issues of social justice and democracy are not distinct from acts of teaching and learning. The goal of c... | Wikipedia/Critical_pedagogy_theory |
In chemistry the polyhedral skeletal electron pair theory (PSEPT) provides electron counting rules useful for predicting the structures of clusters such as borane and carborane clusters. The electron counting rules were originally formulated by Kenneth Wade, and were further developed by others including Michael Mingo... | Wikipedia/Polyhedral_skeletal_electron_pair_theory |
In harmonic analysis, a field within mathematics, Littlewood–Paley theory is a theoretical framework used to extend certain results about L2 functions to Lp functions for 1 < p < ∞. It is typically used as a substitute for orthogonality arguments which only apply to Lp functions when p = 2. One implementation involves ... | Wikipedia/Littlewood–Paley_theory |
Engaged theory is a methodological framework for understanding the social complexity of a society, by using social relations as the base category of study, with the social always understood as grounded in the natural, including people as embodied beings. Engaged theory progresses from detailed, empirical analysis of th... | Wikipedia/Engaged_theory |
A sociological theory is a supposition that intends to consider, analyze, and/or explain objects of social reality from a sociological perspective,: 14 drawing connections between individual concepts in order to organize and substantiate sociological knowledge. Hence, such knowledge is composed of complex theoretical ... | Wikipedia/Sociological_theory |
The circumscription theory is a theory of the role of warfare in state formation in political anthropology, created by anthropologist Robert Carneiro. The theory has been summarized in one sentence by Schacht: “In areas of circumscribed agricultural land, population pressure led to warfare that resulted in the evoluti... | Wikipedia/Carneiro's_circumscription_theory |
In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells. Cells are the basic unit of structure in all living organis... | Wikipedia/Cell_theory |
Scientific modelling is an activity that produces models representing empirical objects, phenomena, and physical processes, to make a particular part or feature of the world easier to understand, define, quantify, visualize, or simulate. It requires selecting and identifying relevant aspects of a situation in the real ... | Wikipedia/Scientific_models |
In radio-frequency engineering, an antenna (American English) or aerial (British English) is an electronic device that converts an alternating electric current into radio waves (transmitting), or radio waves into an electric current (receiving). It is the interface between radio waves propagating through space and elec... | Wikipedia/Antenna_theory |
The theory of multiple intelligences (MI) posits that human intelligence is not a single general ability but comprises various distinct modalities, such as linguistic, logical-mathematical, musical, and spatial intelligences. Introduced in Howard Gardner's book Frames of Mind: The Theory of Multiple Intelligences (1983... | Wikipedia/Multiple_intelligence_theory |
In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species (called the electron donor) to another (called the electron acceptor). It was or... | Wikipedia/Marcus_theory |
The multiverse is the hypothetical set of all universes. Together, these universes are presumed to comprise everything that exists: the entirety of space, time, matter, energy, information, and the physical laws and constants that describe them. The different universes within the multiverse are called "parallel univers... | Wikipedia/Multiverse_theory |
A case theory (aka theory of case, theory of a case, or theory of the case) is “a detailed, coherent, accurate story of what occurred" involving both a legal theory (i.e., claims/causes of action or affirmative defenses) and a factual theory (i.e., an explanation of how a particular course of events could have happened... | Wikipedia/Case_theory_(in_law) |
Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some str... | Wikipedia/Ramsey_theory |
In linguistics, X-bar theory is a model of phrase structure and a theory of syntactic category formation that proposes a universal schema for how phrases are organized. It suggests that all phrases share a common underlying structure, regardless of their specific category (noun phrase, verb phrase, etc.). This structur... | Wikipedia/X-bar_theory |
In inorganic chemistry, crystal field theory (CFT) describes the breaking of degeneracies of electron orbital states, usually d or f orbitals, due to a static electric field produced by a surrounding charge distribution (anion neighbors). This theory has been used to describe various spectroscopies of transition metal ... | Wikipedia/Crystal_field_theory |
Constructivism in education is a theory that suggests that learners do not passively acquire knowledge through direct instruction. Instead, they construct their understanding through experiences and social interaction, integrating new information with their existing knowledge. This theory originates from Swiss developm... | Wikipedia/Constructivist_theory |
A peculiarity of thermal motion of very long linear macromolecules in entangled polymer melts or concentrated polymer solutions is reptation. Derived from the word reptile, reptation suggests the movement of entangled polymer chains as being analogous to snakes slithering through one another. Pierre-Gilles de Gennes i... | Wikipedia/Reptation_theory |
Film theory is a set of scholarly approaches within the academic discipline of film or cinema studies that began in the 1920s by questioning the formal essential attributes of motion pictures; and that now provides conceptual frameworks for understanding film's relationship to reality, the other arts, individual viewer... | Wikipedia/Film_theory |
A polymer field theory is a statistical field theory describing the statistical behavior of a neutral or charged polymer system. It can be derived by transforming the partition function from its standard many-dimensional integral representation over the particle degrees of freedom in a functional integral representatio... | Wikipedia/Polymer_field_theory |
In physics, the dynamo theory proposes a mechanism by which a celestial body such as Earth or a star generates a magnetic field. The dynamo theory describes the process through which a rotating, convecting, and electrically conducting fluid can maintain a magnetic field over astronomical time scales. A dynamo is thoug... | Wikipedia/Dynamo_theory |
Collision theory is a principle of chemistry used to predict the rates of chemical reactions. It states that when suitable particles of the reactant hit each other with the correct orientation, only a certain amount of collisions result in a perceptible or notable change; these successful changes are called successful... | Wikipedia/Collision_theory |
Literary theory is the systematic study of the nature of literature and of the methods for literary analysis. Since the 19th century, literary scholarship includes literary theory and considerations of intellectual history, moral philosophy, social philosophy, and interdisciplinary themes relevant to how people interpr... | Wikipedia/Literary_theory |
The Rice–Ramsperger–Kassel–Marcus (RRKM) theory is a theory of chemical reactivity. It was developed by Rice and Ramsperger in 1927 and Kassel in 1928 (RRK theory) and generalized (into the RRKM theory) in 1952 by Marcus who took the transition state theory developed by Eyring in 1935 into account. These methods enab... | Wikipedia/RRKM_theory |
Music theory is the study of theoretical frameworks for understanding the practices and possibilities of music. The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhy... | Wikipedia/Music_theory |
In theoretical chemistry, Specific ion Interaction Theory (SIT theory) is a theory used to estimate single-ion activity coefficients in electrolyte solutions at relatively high concentrations. It does so by taking into consideration interaction coefficients between the various ions present in solution. Interaction coef... | Wikipedia/Specific_ion_interaction_theory |
The history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Protoscience, early sciences, and natural philosophies such as alchemy and astrology that existed during the Bronze Age, Iron Age, classical antiqu... | Wikipedia/Modern_science |
A Lewis acid (named for the American physical chemist Gilbert N. Lewis) is a chemical species that contains an empty orbital which is capable of accepting an electron pair from a Lewis base to form a Lewis adduct. A Lewis base, then, is any species that has a filled orbital containing an electron pair which is not invo... | Wikipedia/Lewis_theory |
Organizational theory refers to a series of interrelated concepts that involve the sociological study of the structures and operations of formal social organizations. Organizational theory also seeks to explain how interrelated units of organization either connect or do not connect with each other. Organizational theor... | Wikipedia/Organizational_theory |
In the theory of finite population sampling, a sampling design specifies for every possible sample its probability of being drawn.
== Mathematical formulation ==
Mathematically, a sampling design is denoted by the function
P
(
S
)
{\displaystyle P(S)}
... | Wikipedia/Sampling_design |
In survey methodology, Poisson sampling (sometimes denoted as PO sampling: 61 ) is a sampling process where each element of the population is subjected to an independent Bernoulli trial which determines whether the element becomes part of the sample.: 85
Each element of the population may have a different probability ... | Wikipedia/Poisson_trial |
Some interpretations of quantum mechanics posit a central role for an observer of a quantum phenomenon. The quantum mechanical observer is tied to the issue of observer effect, where a measurement necessarily requires interacting with the physical object being measured, affecting its properties through the interaction.... | Wikipedia/Observation_(physics) |
In mathematics, a unitary transformation is a linear isomorphism that preserves the inner product: the inner product of two vectors before the transformation is equal to their inner product after the transformation.
== Formal definition ==
More precisely, a unitary transformation is an isometric isomorphism between t... | Wikipedia/Unitary_transformation |
Model synthesis (also wave function collapse or 'wfc') is a family of constraint-solving algorithms commonly used in procedural generation, especially in the video game industry.
Some video games known to have utilized variants of the algorithm include Bad North, Townscaper, and Caves of Qud.
The first example of this ... | Wikipedia/Wave_function_collapse_(algorithm) |
Quantum energy teleportation (QET) is an application of quantum information science. It is a variation of the quantum teleportation protocol. Quantum energy teleportation allows energy to be teleported from a sender to a receiver, regardless of location. This protocol works by having the sender inject energy into the q... | Wikipedia/Quantum_energy_teleportation |
Circuit quantum electrodynamics (circuit QED) provides a means of studying the fundamental interaction between light and matter (quantum optics). As in the field of cavity quantum electrodynamics, a single photon within a single mode cavity coherently couples to a quantum object (atom). In contrast to cavity QED, the p... | Wikipedia/Circuit_quantum_electrodynamics |
In quantum computing, the Brassard–Høyer–Tapp algorithm or BHT algorithm is a quantum algorithm that solves the collision problem. In this problem, one is given n and an r-to-1 function
f
:
{
1
,
…
,
n
}
→
... | Wikipedia/BHT_algorithm |
In theoretical physics, the logarithmic Schrödinger equation (sometimes abbreviated as LNSE or LogSE) is one of the nonlinear modifications of Schrödinger's equation, first proposed by Gerald H. Rosen in its relativistic version (with D'Alembertian instead of Laplacian and first-order time derivative) in 1969. It is a ... | Wikipedia/Logarithmic_Schrödinger_equation |
In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension of mass–energy equivalence for bodies or systems with non-zero... | Wikipedia/Energy–momentum_relation |
The Principles of Quantum Mechanics is an influential monograph on quantum mechanics written by Paul Dirac and first published by Oxford University Press in 1930.
Dirac gives an account of quantum mechanics by "demonstrating how to construct a completely new theoretical framework from scratch"; "problems were tackled t... | Wikipedia/The_Principles_of_Quantum_Mechanics |
In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator. Because the eigenvalues of a unitary operator always have unit modulus, they are characterized by their phase, and therefore the algorithm can be equivale... | Wikipedia/Quantum_phase_estimation_algorithm |
Principles of Quantum Mechanics is a textbook by Ramamurti Shankar. The book has been through two editions. It is used in many college courses around the world.
== Contents ==
Mathematical Introduction
Linear Vector Spaces: Basics
Inner Product Spaces
Dual Spaces and the Dirac Notation
Subspaces
Linear Operators
Matr... | Wikipedia/Principles_of_Quantum_Mechanics |
The Deutsch–Jozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve, Artur Ekert, Chiara Macchiavello, and Michele Mosca in 1998. Although of little practical use, it is one of the first examples of a quantum algorithm that is exponenti... | Wikipedia/Deutsch–Jozsa_algorithm |
An interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Quantum mechanics has held up to rigorous and extremely precise tests in an extraordinarily broad range of experiments. However, there exist a number of contending sc... | Wikipedia/Interpretation_of_quantum_mechanics |
Algorithmic cooling is an algorithmic method for transferring heat (or entropy) from some qubits to others or outside the system and into the environment, which results in a cooling effect. This method uses regular quantum operations on ensembles of qubits, and it can be shown that it can succeed beyond Shannon's bound... | Wikipedia/Algorithmic_cooling |
The Quantum counting algorithm is a quantum algorithm for efficiently counting the number of solutions for a given search problem.
The algorithm is based on the quantum phase estimation algorithm and on Grover's search algorithm.
Counting problems are common in diverse fields such as statistical estimation, statistical... | Wikipedia/Quantum_counting_algorithm |
In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high probability the unique input to a black box function that produces a particular output value, using just
O
(
... | Wikipedia/Grover's_algorithm |
Quantum optimization algorithms are quantum algorithms that are used to solve optimization problems. Mathematical optimization deals with finding the best solution to a problem (according to some criteria) from a set of possible solutions. Mostly, the optimization problem is formulated as a minimization problem, where ... | Wikipedia/Quantum_optimization_algorithms |
In mathematical physics, some approaches to quantum field theory are more popular than others. For historical reasons, the Schrödinger representation is less favored than Fock space methods. In the early days of quantum field theory, maintaining symmetries such as Lorentz invariance, displaying them manifestly, and pr... | Wikipedia/Schrödinger_functional |
The Harrow–Hassidim–Lloyd (HHL) algorithm is a quantum algorithm for numerically solving a system of linear equations, designed by Aram Harrow, Avinatan Hassidim, and Seth Lloyd. The algorithm estimates the result of a scalar measurement on the solution vector to a given linear system of equations.
The algorithm is one... | Wikipedia/HHL_algorithm |
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines field theory and the principle of relativity with ideas behind quantum mechanics.: xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of qu... | Wikipedia/Relativistic_quantum_field_theory |
In physics, specifically relativistic quantum mechanics (RQM) and its applications to particle physics, relativistic wave equations predict the behavior of particles at high energies and velocities comparable to the speed of light. In the context of quantum field theory (QFT), the equations determine the dynamics of qu... | Wikipedia/Relativistic_wave_equations |
In mathematical physics, the Eckhaus equation – or the Kundu–Eckhaus equation – is a nonlinear partial differential equation within the nonlinear Schrödinger class:
i
ψ
t
+
ψ
x
... | Wikipedia/Eckhaus_equation |
Cross-entropy benchmarking (also referred to as XEB) is a quantum benchmarking protocol which can be used to demonstrate quantum supremacy. In XEB, a random quantum circuit is executed on a quantum computer multiple times in order to collect a set of
k
{\displaystyle k}
sampl... | Wikipedia/Cross-entropy_benchmarking |
In quantum electrodynamics, the vertex function describes the coupling between a photon and an electron beyond the leading order of perturbation theory. In particular, it is the one particle irreducible correlation function involving the fermion
ψ
{\displaystyle \psi }
, the ... | Wikipedia/Vertex_function |
Two-photon physics, also called gamma–gamma physics, is a branch of particle physics that describes the interactions between two photons. Normally, beams of light pass through each other unperturbed. Inside an optical material, and if the intensity of the beams is high enough, the beams may affect each other through a ... | Wikipedia/Two-photon_physics |
Cavity Quantum Electrodynamics (cavity QED) is the study of the interaction between light confined in a reflective cavity and atoms or other particles, under conditions where the quantum nature of photons is significant. It could in principle be used to construct a quantum computer.
The case of a single 2-level atom i... | Wikipedia/Cavity_quantum_electrodynamics |
A stationary state is a quantum state with all observables independent of time. It is an eigenvector of the energy operator (instead of a quantum superposition of different energies). It is also called energy eigenvector, energy eigenstate, energy eigenfunction, or energy eigenket. It is very similar to the concept of ... | Wikipedia/Energy_eigenstate |
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
The modern study ... | Wikipedia/Set_Theory |
The transferable belief model (TBM) is an elaboration on the Dempster–Shafer theory (DST), which is a mathematical model used to evaluate the probability that a given proposition is true from other propositions that are assigned probabilities. It was developed by Philippe Smets who proposed his approach as a response t... | Wikipedia/Transferable_belief_model |
Linear belief functions are an extension of the Dempster–Shafer theory of belief functions to the case when variables of interest are continuous. Examples of such variables include financial asset prices, portfolio performance, and other antecedent and consequent variables. The theory was originally proposed by Arthur ... | Wikipedia/Linear_belief_function |
In computer science, a rough set, first described by Polish computer scientist Zdzisław I. Pawlak, is a formal approximation of a crisp set (i.e., conventional set) in terms of a pair of sets which give the lower and the upper approximation of the original set. In the standard version of rough set theory described in P... | Wikipedia/Rough_set_theory |
Micrographia: or Some Physiological Descriptions of Minute Bodies Made by Magnifying Glasses. With Observations and Inquiries Thereupon is a historically significant book by Robert Hooke about his observations through various lenses. It was the first book to include illustrations of insects and plants as seen through m... | Wikipedia/Micrographia |
In physics (specifically, the kinetic theory of gases), the Einstein relation is a previously unexpected connection revealed independently by William Sutherland in 1904, Albert Einstein in 1905, and by Marian Smoluchowski in 1906 in their works on Brownian motion. The more general form of the equation in the classical ... | Wikipedia/Einstein_relation_(kinetic_theory) |
The Vicsek model is a mathematical model used to describe active matter. One motivation of the study of active matter by physicists is the rich phenomenology associated to this field. Collective motion and swarming are among the most studied phenomena. Within the huge number of models that have been developed to catch ... | Wikipedia/Vicsek_model |
Chapman–Enskog theory provides a framework in which equations of hydrodynamics for a gas can be derived from the Boltzmann equation. The technique justifies the otherwise phenomenological constitutive relations appearing in hydrodynamical descriptions such as the Navier–Stokes equations. In doing so, expressions for v... | Wikipedia/Revised_Enskog_theory |
The shear viscosity (or viscosity, in short) of a fluid is a material property that describes the friction between internal neighboring fluid surfaces (or sheets) flowing with different fluid velocities. This friction is the effect of (linear) momentum exchange caused by molecules with sufficient energy to move (or "to... | Wikipedia/Viscosity_models_for_mixtures |
In metaphysics, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These... | Wikipedia/Universal_(metaphysics) |
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