The Logic of Entanglement

Jincheng Zhang

This paper presents a novel approach to logic computation based on quantum entanglement, aiming to overcome the limitations of classical logic and explore a new logical theory. We propose a framework leveraging the unique properties of quantum entanglement to construct and manipulate logical circuits, enabling significantly enhanced computational capabilities compared to traditional methods. The core mechanism centers around utilizing entanglement to establish correlated states within the logic circuit, facilitating complex logical operations beyond the capabilities of classical systems. This work introduces a new theoretical foundation rooted in the implications of entanglement on logical structure. We detail the design of the quantum entanglement logic circuit, explore its operational principles, and discuss potential future research directions.

Abhishek Das

Jincheng Zhang

The study presents a novel probabilistic logic system predicated on the principles of quantum entanglement. This system leverages the inherent properties of entangled quantum states to represent logical relationships, offering a paradigm shift compared to conventional probabilistic logic. The core mechanism involves establishing and manipulating entangled states to encode and manipulate logical constraints, thereby enabling sophisticated reasoning and computational operations. This research explores the potential of quantum entanglement to surpass the limitations of classical logic in terms of expressiveness and speed, paving the way for new algorithmic possibilities. The paper details the design of an entanglement-based logic module, explores the challenges of maintaining entanglement fidelity, and discusses the implications for future development of quantum-enhanced computational systems.

Kento Samuel Soon, Fumiyoshi Kobayashi, Naphan Benchasattabuse +1 more

Scaling fault-tolerant quantum computing beyond a single processor demands logical—logical entanglement. While surface codes excel in local error correction, creating robust, distributed entanglement remains challenging. In this work, we introduce Entanglement Ejection—a protocol for generating physical—logical entanglement from a single logical qubit. This subroutine establishes logical—logical entanglement via entanglement swapping with a physical Bell pair provided by a quantum network. Unlike common injection-based methods, our protocol is deterministic, requiring no post-selection and thereby has the potential of reducing spatio-temporal resource overhead. We show via numerical simulations under a superconducting-specific noise model that this potential resource efficiency comes at the cost of a slightly higher, yet comparable, logical error rate.

Wolfgang Scherer