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The Mathematical Language of Quantum Theory
This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instru- ments. It introduces several up-to-date topics,
The Mathematical Language of Quantum Theory: From Uncertainty to Entanglement
Introduction 1. Hilbert space refresher 2. States and effects 3. Observables 4. Operations and channels 5. Measurement models and instruments 6. Entanglement Bibliography Index.
Programmable Quantum Gate Arrays
The processor presented can perform any operation on a single qubit with a certain probability and if the operation is unitary, the probability is in general 1/4, but for more restricted sets of operators the probability can be higher.
An Invitation to Quantum Incompatibility
The purpose of this paper is to give a concise overview of some of the central aspects of incompatibility, as a common ground for several famous impossibility statements within quantum theory.
Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments
We introduce a mathematical framework for the description of measurements of quantum processes. Using this framework, process estimation problems can be treated in a similar way as state estimation
Divisibility of quantum dynamical maps and collision models
The divisibility of dynamical maps is visualized by trajectories in the parameter space and analyzed within the framework of collision models. We introduce ultimate completely positive (CP) divisible
Description of Quantum Dynamics of Open Systems Based on Collision-Like Models
The possibility to derive master equations from an intrinsically discrete dynamics that is modelled as a sequence of collisions between a given quantum system (a qubit) with particles that form the environment is analyzed.
Toward protocols for quantum-ensured privacy and secure voting
A number of schemes that use quantum mechanics to preserve privacy are presented, and it is shown that entangled quantum states can be useful in maintaining privacy and how quantum mechanics can be helpful in maintaining the privacy of the choices group elements.
Divisibility of qubit channels and dynamical maps
The concept of divisibility of dynamical maps is used to introduce an analogous concept for quantum channels by analyzing the simulability of channels by means of dynamical maps. In particular, this