Let |Ψ〉 be an arbitrary stabilizer state distributed between three remote parties, such that each party holds several qubits. Let S be a stabilizer group of |Ψ〉. We show that |Ψ〉 can be converted by local unitaries into a collection of singlets, GHZ states, and local one-qubit states. The numbers of singlets and GHZs are determined by dimensions of certain subgroups of S. For an arbitrary numbe...

Abs tract The reconstruction of seismic images of the medium from cross we ll travel-time data is a typic al examp le of the ill-posed inverse prob lem. In order to obt ain a stable so lution and to rep lace an ill-posed problem by a well-posed one, a stabilizing functiona l (stabilizer) has to be introduced. The ro le of this functional is to select the desired stable so lution from a class of...

This paper proposes the application of a hierarchical fuzzy system (HFS) based on multi-input power system stabilizer (MPSS) and also Static Var Compensator (SVC) in multi-machine environment.The number of rules grows exponentially with the number of variables in a conventional fuzzy logic system. The proposed HFS method is developed to solve this problem. To reduce the number of rules the HFS ...

Quantum error correcting codes are essential for successful implementation of quantum computers. We look into the theory of a particular class of quantum codes that look promising called quantum stabilizer codes. The aim of this project is to study and construct efficient quantum stabilizer codes from algebraic geometry codes.

The malic enzyme from Halobacterium cutirubrum requires monovalent cations for both activation and stabilization. NaCl, the best stabilizer, is ineffective as activator; NH(4)Cl, the best activator, is a poor stabilizer. These results support the idea that the roles of salts in both processes are different.

Let A be a finite dimensional complex vector space with a polynomial action of G = GLk. One main example is A = Sym C. (For tensors G = GLk, A = ⊗C) Let Z ⊆ A be locally closed. One main example is a group orbit Z = Gv. Recall (last semester, Chapter 15) that for a locally closed set Z ⊆ A we defined the coordinate ring C[Z] as the ring of regular functions (i.e., locally defined by rational fu...

We consider closed, Weyl-transitive groups of automorphisms of thick buildings. For each element of such a group, we derive a combinatorial formula for its scale and establish the existence of a tidy subgroup for it that equals the stabilizer of a simplex. Simplices whose stabilizers are tidy for some element of the group are characterized in terms of the minimal set of the isometry induced by ...

In this paper nondegenerate multidimensional matrices of boundary format in V0 ⊗ · · · ⊗ Vp are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix A the stabilizer for the SL(V0)×· · ·×SL(Vp)action, Stab(A), is completely described. In particular we prove that there exists an explicit action of SL(2) on V0 ⊗ · · · ⊗ Vp such that ...