Nonlocal quantum computing theory

Charles R. Giardina

Cheng Hsiao Wu

Nonlocal Quantum Computing Theory offers a fresh perspective on quantum computing, moving beyond the traditional qubit-based approach to a physics-driven interpretation of computation. This book highlights the limitations and logical flaws in mainstream quantum computing theories and introduces a rule-based, nonlocal quantum computing framework. Covering general-purpose quantum computing, biological applications, and atomic chains in full superposition and entanglement, this book presents a bold new theoretical foundation for the field. Key Features: Provides a comprehensive introduction to quantum computing from a nonlocal perspective. Critically examines the limitations of the standard qubit-based approach. Explores applications in biological systems and atomic chain computations. Introduces rule-based nonlocal quantum computing theory as an alternative framework. Includes a historical overview and discussion of quantum parallelism. This book is an essential resource for graduate students in physics and computer science, as well as researchers and professionals engaged in quantum information theory and quantum computing. Its innovative approach contributes to ongoing discussions in the field, making it valuable for those seeking a deeper understanding of the foundations and future of quantum computation.

Stephen Fenner

Cheng Hsiao Wu

New four sets of 16 nonlocal operator–state relations are presented to describe the quantum computing from a chain of atoms that are in superpositions and in entanglement with each together. The derivation of those tensor relations is a presentation to prove the existence of four new nonlocal mathematics based on correct physics foundation. New concepts are presented to establish the correct quantum computing theory. Why qubit-gated approach is not adequate is explained thoroughly.

Neng-Fei Gong, Tie-Jun Wang, Shohini Ghose

We propose a scheme for a high-dimensional nonlocal controlled quantum computation network. A client with limited quantum technology can control a distributed computation between two quantum servers in a secure manner, such that the client's computational information remains private. We define a measure to quantify the client's control power when performing nonlocal quantum gates. We find that, given the same channel resources, the client's control power over nonlocal quantum gate operations between quantum servers is much greater than that of quantum state transfer between quantum servers. Our scheme prevents quantum servers in the network from stealing each other's information or jointly stealing the client's information. Our protocol provides new avenues for building quantum computing networks and methods to develop the resource theory of quantum channels.