self-adjoint
61Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …
62Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …
63Observable — This article is about observables in physics. For the use of the term observable in control theory, see Observability. In physics, particularly in quantum physics, a system observable is a property of the system state that can be determined by… …
64Bloch sphere — In quantum mechanics, the Bloch sphere is a geometrical representation of the pure state space of a two level quantum mechanical system named after the physicist Felix Bloch. Alternatively, it is the pure state space of a 1 qubit quantum register …
65Continuous functional calculus — In mathematics, the continuous functional calculus of operator theory and C* algebra theory allows applications of continuous functions to normal elements of a C* algebra. More precisely, Theorem. Let x be a normal element of a C* algebra A with… …
66Tsirelson's bound — Tsirelson s bound, also known as Tsirelson s inequality, or in another transliteration, Cirel son s inequality, arises in quantum mechanics, in discussion and experimental determination of whether local hidden variables are required for, or even… …
67Multiplication operator — In operator theory, a multiplication operator is a linear operator T defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f. That is, for all φ in the function space and all x in …
68Partial isometry — In functional analysis a partial isometry is a linear map W between Hilbert spaces H and K such that the restriction of W to the orthogonal complement of its kernel is an isometry. We call the orthogonal complement of the kernel of W the initial… …
69Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… …
70POVM — In functional analysis and quantum measurement theory, a POVM (Positive Operator Valued Measure) is a measure whose values are non negative self adjoint operators on a Hilbert space. It is the most general formulation of a measurement in the… …
