We consider the graph whose vertex set is a conjugacy class C consisting of finite-rank self-adjoint operators on complex Hilbert space H. The dimension H assumed to be not less than 3. In case when from have two eigenvalues only, we obtain Grassmann formed by k-dimensional subspaces H, where k smallest eigenspaces. Chow's theorem describes automorphisms this for k>1. Under assumption that more...

With techniques borrowed from quantum information theory, we develop a method to systematically obtain operator inequalities and identities in several matrix variables. These take the form of trace polynomials: polynomial-like expressions that involve monomials Xα1,…,Xαr their traces tr(Xα1,…,Xαr). Our rests on translating action symmetric group tensor product spaces into multiplication. As res...

Coercion is an inferential process through which operator-argument conflicts are resolved in favor of the meaning of the operator, as when frame adverbials impose inchoative readings upon state-type predicates with which they are combined: The ambulance was there in a few minutes. De Swart (1998) represents such effects by means of implicit type-shifting operators that intervene between operato...

A succinct data structure for a given data type is a representation of the underlying combinatorial object that uses an amount of space “close” to the information theoretic lower bound, together with algorithms that supports operations of the data type “quickly”. A natural example is the representation of a binary tree [5]: an arbitrary binary tree on n nodes can be represented in 2n + o(n) bit...

We propose an implementation of a 3-qubit bit-flip QECC proposed in [1] using an NMRquantum computer. A qubit state ∣ ⟩ = a∣0⟩+ b∣1⟩ is encoded as ∣Ψ⟩ = a∣000⟩+ b∣111⟩ andsent through a noisy channel. It is assumed that the bit-flip operator X acts on one of thequbits during transmission.We show that the recovery operation can be implemented with a unitary quantumcircuit...

We indicate the quantum tree search qiskit implementation by popular examples from symbolical artificial intelligence, 3-puzzle, 8-puzzle and ABC blocks world. Qiskit is an open-source software development kit (SDK) for working with computers at level of circuits algorithms IBM. The objects are represented symbols adjectives. Two principles presented. Either position description (adjective) fix...

The exact solution of the interacting many-body system is important and difficult to solve. In this paper, we introduce a group method solve problem using relation between permutation unitary group. We prove theorem first, then theorem, represent Hamiltonian by Casimir operators eigenvalues could give values energy thus those problems exactly. This maps onto an intermediate statistical represen...

Dispatch scheduling policies offer a computationally inexpensive approach to many scheduling problems as an alternative to more processor intensive search algorithms. They are especially useful in dynamic situations where problem solving may be temporally constrained. However, dispatch heuristics have also been effectively used for guidance within more intensive search algorithms, expanding the...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...