Abstract In this section, we review the concepts of classical and quantum superposition. Quantum superposition is the framework for understanding all quantum phenomena. As we do not observe quantum phenomena in our everyday lives, it may seem confusing at first. However, as unintuitive as the quantum world may appear, there are a vast number of experiments which conclusively show that the universe really does operate according to the law of quantum superposition at the smallest distances accessible today. Before going into specific details on quantum superposition, it is useful to explain how the term “superposition” is used in different contexts in both classical and quantum physics. At the end of the chapter, we present the related activities and questions. After gaining experience with quantum superposition from working through these problems, it will become more intuitive. The more experience you gain by advancing through this book, the more quantum superposition will make sense.Abstract In this section, we review the concepts of classical and quantum superposition. Quantum superposition is the framework for understanding all quantum phenomena. As we do not observe quantum phenomena in our everyday lives, it may seem confusing at first. However, as unintuitive as the quantum world may appear, there are a vast number of experiments which conclusively show that the universe really does operate according to the law of quantum superposition at the smallest distances accessible today. Before going into specific details on quantum superposition, it is useful to explain how the term “superposition” is used in different contexts in both classical and quantum physics. At the end of the chapter, we present the related activities and questions. After gaining experience with quantum superposition from working through these problems, it will become more intuitive. The more experience you gain by advancing through this book, the more quantum superposition will make sense.

Springer eBooksSep 18, 202013 citations

A unified measure of macroscopic quantum superposition

Yuan Xu

In this study, we use a decoherence-based measure of interference to quantify the effective degree of quantum superposition. We show that a type of measure of the effective degree of quantum superposition can be considered from a unified theoretical framework. We use three decoherence processes to define a corresponding decoherence-based measure of quantum superposition, including amplitude damping, phase damping and quantum Brownian motion. With these definitions, we compare the effective degree of quantum superposition achieved for the different experiments. We also investigate the effective degree of quantum superposition prepared from a mixed state through the reservoir engineering technique.In this study, we use a decoherence-based measure of interference to quantify the effective degree of quantum superposition. We show that a type of measure of the effective degree of quantum superposition can be considered from a unified theoretical framework. We use three decoherence processes to define a corresponding decoherence-based measure of quantum superposition, including amplitude damping, phase damping and quantum Brownian motion. With these definitions, we compare the effective degree of quantum superposition achieved for the different experiments. We also investigate the effective degree of quantum superposition prepared from a mixed state through the reservoir engineering technique.

Physica ScriptaOct 23, 20133 citations

Superposition and quantum mechanics

Jack Cohn

International Journal of Theoretical PhysicsAug 1, 19861 citation

Preparation of Quantum Superposition Using Partial Negation

Sara Anwer, Ahmed Younes, Islam Elkabani +1 more

The preparation of a quantum superposition is the key to the success of many quantum algorithms and quantum machine learning techniques. The preparation of an incomplete or a non-uniform quantum superposition with certain properties is a non-trivial task. In this paper, an $n$ -qubits variational quantum circuit using partial negation and controlled partial negation operators is proposed to prepare a quantum superposition from a given space of probability distributions. The speed of the preparation process and the accuracy of the prepared superposition has special importance to the success of any quantum algorithm. The proposed method can be used to prepare the required quantum superposition in $\mathscr {O}(n)$ steps and with high accuracy when compared with relevant methods in literature.The preparation of a quantum superposition is the key to the success of many quantum algorithms and quantum machine learning techniques. The preparation of an incomplete or a non-uniform quantum superposition with certain properties is a non-trivial task. In this paper, an$n$-qubits variational quantum circuit using partial negation and controlled partial negation operators is proposed to prepare a quantum superposition from a given space of probability distributions. The speed of the preparation process and the accuracy of the prepared superposition has special importance to the success of any quantum algorithm. The proposed method can be used to prepare the required quantum superposition in$\mathscr {O}(n)$steps and with high accuracy when compared with relevant methods in literature.

arXiv:2109.14369IEEE AccessJan 1, 20226 citations

Quantum Interference and Superposition

Ángel S. Sanz, Salvador Miret-Artés

Lecture notes in physicsSep 13, 20132 citations

n

-qubits variational quantum circuit using partial negation and controlled partial negation operators is proposed to prepare a quantum superposition from a given space of probability distributions. The speed of the preparation process and the accuracy of the prepared superposition has special importance to the success of any quantum algorithm. The proposed method can be used to prepare the required quantum superposition in

\mathscr {O}(n)

steps and with high accuracy when compared with relevant methods in literature.