Title: Quantum Information Theory Based on Topological Data Analysis

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum Information Theory (QIT) represents a burgeoning field seeking to harness the unique properties of quantum mechanics for computation, communication, and sensing. A significant challenge lies in effectively managing and manipulating quantum information, particularly concerning entanglement – a fundamental resource for quantum technologies. This research explores a novel framework combining Topological Data Analysis (TDA) with quantum mechanics to address this challenge, focusing on the detection and manipulation of entanglement. We propose a new type of topological measure, designed to be highly sensitive to the quantum state of a system, and utilize TDA to generate data that reveals critical states and facilitates the propagation of quantum information. The core claim is that this approach offers a fundamentally new way to understand and control entanglement, potentially leading to advancements in quantum cryptography and information processing.

DOI: 10.5281/zenodo.22250474

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