Large-scale quantum computation is likely to require massive quantum error correction (QEC). QEC codes and circuits aredescribed via the stabilizer formalism, which represents stabilizer states by keeping track of the operators that preserve them. Suchstates are obtained by stabilizer circuits (consisting of CNOT, Hadamard and Phase only) and can be represented compactly onconventio...

Knill introduced a generalization of stabilizer codes, in this note called Clifford codes. It remained unclear whether or not Clifford codes can be superior to stabilizer codes. We show that Clifford codes are stabilizer codes provided that the abstract error group has an abelian index group. In particular, if the errors are modelled by tensor products of Pauli matrices, then the associated Cli...

this paper introduces an indirect adaptive fuzzy sliding mode controller as a power system stabilizer for damping local and inter-area modes of oscillations of multi-machine power systems. this controller is designed based on the combination of sliding mode controller and the fuzzy logic systems. the fuzzy systems are used to approximate the unknown functions of power system model. generator sp...

We classify local unitary equivalence classes of symmetric states via a classification of their local unitary stabilizer subgroups. For states whose local unitary stabilizer groups have a positive number of continuous degrees of freedom, the classification is exhaustive. We show that local unitary stabilizer groups with no continuous degrees of freedom are isomorphic to finite subgroups of the ...

In this paper we consider stabilizer codes over local Frobenius rings. First, we study the relative minimum distances of a stabilizer code and its reduction onto the residue field. We show that for various scenarios, a free stabilizer code over the ring does not underperform the according stabilizer code over the field. This leads us to conjecture that the same is true for all free stabilizer c...

This work is a systematic study of the strength and ultrasonic properties cemented paste backfill incorporating foaming agent, known as foam-cemented (FCPB). Based on determining optimal admixture contents (foaming stabilizer, thickening agent), series uniaxial compressive (UCS) tests were conducted to determine relationship between UCS FCPB four influencing factors, i.e., cement–tailings ratio...

We show that near closed points with linearly reductive stabilizer, Artin stacks are formally locally quotient stacks by the stabilizer and conjecture that the statement holds étale locally. In particular, we prove that if the stabilizer of a point is linearly reductive, the stabilizer acts algebraically on a miniversal deformation space generalizing results of Pinkham and Rim.

Stabilizer bar is an important component of the vehicle’s independent suspension system and plays an important role in the safety traffic. Therefore, the research on fatigue strength characteristics of the automobile stabilizer bar is very important. In this paper, the finite element model is established for the automobile stabilizer bar by utilizing ANSYS finite element analysis software. The ...

We present a method for multipartite entanglement purification of any stabilizer state shared by several parties. In our protocol each party measures the stabilizer operators of a quantum errorcorrecting code on his or her qubits. The parties exchange their measurement results, detect or correct errors, and decode the desired purified state. We give sufficient conditions on the stabilizer codes...

This manuscript introduces various notions of k-locality of stabilizer codes inherited from the associated stabilizer groups. A choice of generators for the group leads to a Hamiltonian with the code in its groundspace, while a Hamiltonian holding the code in its groundspace might be called effective if its locality is less than that of a natural choice of generators (or any choice). This paper...