Sentence examples similar to using a unitary operator from inspiring English sources

Let us first introduce a unitary operator Û A = Û A 1 Û A 2, (7).

If is a unitary operator that commutes with another operator then (1.6).

In both cases, the formula for the time evolution of the state of a system corresponds to a unitary operator that is defined on a Hilbert space; a unitary operator is a type of measure-preserving transformation.

Dynamic evolution is generally through a unitary operator, but with doubly stochastic transitions if wavefunction collapse occurs.

If (||P-Q|| < 1), then (U equiv mathrm {sgn}(B)) is a unitary operator obeying (5.1).

If A is a unitary operator that commutes with another operator B, then w ( A B ) ≤ w ( B ). (1.7).

This transform is a unitary operator on L 2 ( R, C ).

For this purpose, a unitary operator is introduced as shown in Eq. (7) with Eqs.

Let U be a unitary operator defined on some infinite-dimensional complex Hilbert space H.

A unitary approximant for a bounded linear operator T on a separable Hilbert space H is a unitary operator on H of minimum distance from T. In this paper, unitary approximants for certain Fredholm and semi-Fredholm operators of nonzero index are explictly constructed.

In particular, in the case of functions of unitary operators we can consider the problem of differentiability of the function (tmapsto fbig (e^{mathrm{i}tA}U)), (tin {mathbb R}), where f is a function on the unit circle ({mathbb T}), U is a unitary operator and A is a bounded self-adjoint operator.