Quantum Algorithms and Complexity: An Information Theory Perspective

Fabio Benatti

Sanjaye Ramgoolam

String theory for buildersNew mathematical perspectives on algorithms and complexity in quantum physics Many physicists hope that the long-awaited unification of all the fundamental forces will emerge from string theory.

R. Hayakawa, Tomoyuki Morimae

Jincheng Zhang

This paper explores a novel approach to information encoding within string theory, leveraging the intricate structure and quantum entanglement inherent in the theory. We propose a new encoding algorithm that utilizes the quantum correlations within the strings to simulate and compress information, resulting in enhanced data transfer and storage efficiency. The core mechanism centers on designing a specialized encoding based on the properties of strings, offering a fundamentally different perspective on information representation compared to existing methods. This work investigates the potential of this approach to unlock new possibilities in data handling and storage, particularly within the context of string theory's inherent complexity.

Andris Ambainis

Simon J. Gay

The study of computational processes based on the laws of quantum mechanics has led to the discovery of new algorithms, cryptographic techniques, and communication primitives. This book explores quantum computation from the perspective of the branch of theoretical computer science known as semantics, as an alternative to the more well-known studies of algorithmics, complexity theory, and information theory. It collects chapters from leading researchers in the field, discussing the theory of quantum programming languages, logics and tools for reasoning about quantum systems, and novel approaches to the foundations of quantum mechanics. This book is suitable for graduate students and researchers in quantum information and computation, as well as those in semantics, who want to learn about a new field arising from the application of semantic techniques to quantum information and computation.