Categorical quantum circuits

Categorical Quantum Circuits

The aim of this work is to bring the fields of category theory and quantum information science into closer contact. Specifically, we present an explicit representation of dagger compact closed categories in terms of an extended form of quantum circuit diagrams, which we have used to produce results new to both areas. We map the string diagram calculus previously used in the categorical axiomati...

QUANTUM GROUP Categorical Models of Quantum Circuits

Optimizing Teleportation Cost in Multi-Partition Distributed Quantum Circuits

There are many obstacles in quantum circuits implementation with large scales, so distributed quantum systems are appropriate solution for these quantum circuits. Therefore, reducing the number of quantum teleportation leads to improve the cost of implementing a quantum circuit. The minimum number of teleportations can be considered as a measure of the efficiency of distributed quantum systems....

Optimization of Quantum Cellular Automata Circuits by Genetic Algorithm

Quantum cellular automata (QCA) enables performing arithmetic and logic operations at the molecular scale. This nanotechnology promises high device density, low power consumption and high computational power. Unlike the CMOS technology where the ON and OFF states of the transistors represent binary information, in QCA, data is represented by the charge configuration. The primary and basic devic...

Categorical Quantum Mechanics

Our aim is to revisit the mathematical foundations of quantum mechanics from a novel point of view. The standard axiomatic presentation of quantum mechanics in terms of Hilbert spaces, essentially due to von Neumann [1932], has provided the mathematical bedrock of the subject for over 70 years. Why, then, might it be worthwhile to revisit it now? First and foremost, the advent of quantum inform...