For any matrix automorphism group G associated with a bilinear or sesquilinear form, Mackey, Mackey, and Tisseur have recently shown that the matrix sign decomposition factors of A ∈ G also lie in G; moreover, the polar factors of A lie in G if the matrix of the underlying form is unitary. Groups satisfying the latter condition include the complex orthogonal, real and complex symplectic, and ps...

Abstract Any kind of quantum resource useful in different information processing tasks is vulnerable to several types environmental noise. Here we study the behaviour correlations such as entanglement and steering two-qubit systems under application generalised amplitude damping channel propose two protocols towards preserving them this type First, employ technique weak measurement reversal for...

As modeling details can have a large impact on planner performance, domain transformation has been a traditional subject of interest in the planning community not only between languages, but also within languages. Herein, we automate an intra-language transformation method that has as yet been applied only manually, and that has never been formally described: action schema splitting, which tran...

In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in the local commutant. Similar results hold for the set of all complete wandering vectors and complete multi-Riesz vectors, when the surjective ...

We consider the dissipative charging process of quantum batteries in terms a collisional model, where are coupled to heat bath using non-energy preserving interactions. First, we show that for low temperatures collective can attain power increases polynomically with number batteries. The scaling find is $N^3$ that, while being grater than bound obtained unitary processes, it has lower efficienc...

A general form of the photon position operator with commuting components fulfilling some natural axioms is obtained. This commutes helicity operator, Hermitian respect to Bia\l{}ynicki--Birula scalar product, and defined up a unitary transformation preserving transversality condition. It shown that, using procedure analogous one introduced by T. Wu C. N. Yang for case Dirac magnetic monopole, c...

A reasonable quantum information theory for fermions must respect the parity superselection rule to comply with special of relativity and no-signaling principle. This restricts possibility any state have a superposition between even- odd-parity fermionic states. thereby characterizing set physically allowed Here we introduce operations, in congruence rule, that map states onto itself. We first ...

Let $T$ and $S$ be commuting contractions on a Banach space $X$. The elements of $(I-T)(I-S)X$ are called {\it double coboundaries}, the $(I-T)X \cap (I-S)X$ joint cobundaries}. For $U$ $V$ unitary operators induced $L_2$ by invertible measure preserving transformations which generate an aperiodic $\mathbb Z^2$-action, we show that there coboundaries in not coboundaries. We prove if $\alpha$,$\...

the effect of some treatments including preserving solution (20g l-1 sucrose plus 200 ppm 8-hqs), ba and tdz (pulse or spray) with preserving solution were evaluated on senescence parameters and vase life of rose cut flowers cv. red gant. preserving solution, applying 25 mm ba with preserving solution increased solution absorbance, and prevented the cut flowers from getting decreased in relativ...