unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication. The unitary group...

special unitary group of degree n, denoted SU(n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more general unitary group...

symplectic group, Sp(2n, R), on the phase space. Hamiltonian mechanics Metaplectic group Orthogonal group Paramodular group Projective unitary group Representations...

In mathematics, the projective unitary group PU(n) is the quotient of the unitary group U(n) by the right multiplication of its center, U(1), embedded...

orthogonal group SO(n) Orthogonal matrix Semi-orthogonal matrix Quantum logic gate Special Unitary group SU(n) Symplectic matrix Unitary group U(n) Unitary operator...

Look up unitary in Wiktionary, the free dictionary. Unitary may refer to: Unitary divisor Unitary element Unitary group Unitary matrix Unitary morphism...

Antiunitary Orthogonal transformation Time reversal Unitary group Unitary operator Unitary matrix Wigner's theorem Unitary transformations in quantum mechanics...

A unitary authority is a local authority responsible for all local government functions within its area or performing additional functions that elsewhere...

Graphical unitary group approach (GUGA) is a technique used to construct Configuration state functions (CSFs) in computational quantum chemistry. As reflected...

rotation group SO(3) (or its double cover SU(2)), the special unitary group SU(3) and the Poincaré group. On a "global" level, whenever a Lie group acts on...

functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product. Unitary operators are usually...

mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for...

In mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence...

evaluated them explicitly for the unitary group. Weingarten functions are used for evaluating integrals over the unitary group Ud of products of matrix coefficients...

map into the group of unitary operators. If G is a compact Lie group, every finite-dimensional representation is equivalent to a unitary one. Each representation...

Lie group, for example, the special unitary group SU(n), and let Γ be a finite subgroup of G. Then the homogeneous space X = G/Γ has fundamental group Γ...

−In} when n is even, and trivial when n is odd. The center of the unitary group, U ( n ) {\displaystyle U(n)} is { e i θ ⋅ I n ∣ θ ∈ [ 0 , 2 π ) } {\displaystyle...

The European patent with unitary effect, also known as the unitary patent, is a European patent which benefits from unitary effect in the participating...

group of unitary symplectic matrices, Sp(r) and as its associated centerless group the Lie group PSp(r) = Sp(r)/{I, −I} of projective unitary symplectic...

group T and the torus groups Tn, the orthogonal group O(n), the special orthogonal group SO(n) and its covering spin group Spin(n), the unitary group...

multiplicative group of complex numbers C∗ is connected. The group manifold GL(n, C) is not compact; rather its maximal compact subgroup is the unitary group U(n)...

usual construction of the unitary group from the general linear group. The unitary group arises as follows: the general linear group over the complex numbers...

trick (or unitary trick) is a device in the representation theory of Lie groups, introduced by Adolf Hurwitz (1897) for the special linear group and by Hermann...

matrix, and the set of all such gates with the group operation of matrix multiplication is the unitary group U(2n). The quantum states that the gates act...

t-design is a probability distribution over either pure quantum states or unitary operators which can duplicate properties of the probability distribution...

representations, is to find the unitary dual (the space of all irreducible unitary representations) for the semisimple Lie groups. The unitary dual is known in many...

of Lie group topics, by Wikipedia page. See Table of Lie groups for a list General linear group, special linear group SL2(R) SL2(C) Unitary group, special...

between self-adjoint operators and (strongly continuous) one-parameter unitary groups. Let Q and P be two self-adjoint operators satisfying the canonical...

A unitary parliamentary republic is a type of unitary state with a republican form of government in which political authority is entrusted to the parliament...

the Lorentz group O(3,1) is a symmetry group of spacetime of special relativity. The special unitary group SU(3) is the symmetry group of quantum chromodynamics...