Sentence examples for faithful state from inspiring English sources

The faithful state transfer is an important requirement in the construction of classical and quantum computers.

Using this connection, we show that the ultraproduct action of the modular automorphism group of a normal faithful state φ of M on the Ocneanu ultraproduct is the modular automorphism group of the ultrapower state (σtφω="(σtφ)ω).

In this paper we prove a "free" noncommutative analog of this theorem, namely we show that any noncrossing exchangeability system with a faithful state which satisfies a so called weak singleton condition can be embedded into an free product with amalgamation over a certain subalgebra such that the interchangeable algebras remain interchangeable with respect to the operator-valued expectation.

… Having said that, we are a strong and faithful state," Gov. Nikki Haley (R) said in news conference after Roof was captured.

SALT LAKE CITY — Wade Hunt could see change looming on the horizon, a stubborn movement to legalize gay marriage that crept toward Utah's Mormon faithful state by state, one same-sex wedding at a time.

If it is not otherwise specified, from now on we shall treat the case of faithful states, that is, (rho> 0).

Combining these ideas with the Dixmier property, we demonstrate unital, infinite dimensional C⁎-algebras of real rank zero and strict comparison of projections with respect to a faithful tracial state must be simple and have a unique tracial state.

Letρbe a faithful normal state on the von Neumann algebraA.

Let U be a W∗-algebra with a faithful normal state ϱ; xn in U, n ⩾ 1.

Suppose M is a von Neumann algebra equipped with a faithful normal state φ and generated by a finite set G="G⁎, |G|≥2.

A theory of non-commutative stopping time is presented in the case where the underlying Von Neumann algebra possesses only a faithful normal state.