**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**4

# Search results for: quantum systems

##### 4 Stability of Stochastic Model Predictive Control for SchrÃ¶dinger Equation with Finite Approximation

**Authors:**
Tomoaki Hashimoto

**Abstract:**

**Keywords:**
Optimal control,
stochastic systems,
quantum systems,
stabilization.

##### 3 Open Problems on Zeros of Analytic Functions in Finite Quantum Systems

**Authors:**
Muna Tabuni

**Abstract:**

The paper contains an investigation on basic problems about the zeros of analytic theta functions. A brief introduction to analytic representation of finite quantum systems is given. The zeros of this function and there evolution time are discussed. Two open problems are introduced. The first problem discusses the cases when the zeros follow the same path. As the basis change the quantum state |f transforms into different quantum state. The second problem is to define a map between two toruses where the domain and the range of this map are the analytic functions on toruses.

**Keywords:**
open problems,
constraint,
change of basis.

##### 2 Winding Numbers of Paths of Analytic Functions Zeros in Finite Quantum Systems

**Authors:**
Muna Tabuni

**Abstract:**

The paper contains an investigation of winding numbers of paths of zeros of analytic theta functions. We have considered briefly an analytic representation of finite quantum systems ZN. The analytic functions on a torus have exactly N zeros. The brief introduction to the zeros of analytic functions and there time evolution is given. We have discussed the periodic finite quantum systems. We have introduced the winding numbers in general. We consider the winding numbers of the zeros of analytic theta functions.

**Keywords:**
Winding numbers,
period,
paths of zeros.

##### 1 Entanglement-based Quantum Computing by Diagrams of States

**Authors:**
Sara Felloni,
Giuliano Strini

**Abstract:**

**Keywords:**
Diagrams of states,
entanglement,
quantum circuits,
quantum information.