state-o-gram --A Novel 2D Visualization for Quantum States

Abstract: Quantum computing is rapidly gaining popularity, necessitating intuitive visualization tools for complex quantum states. While the Bloch Sphere effectively visualizes single-qubit states, it fundamentally lacks scalability for multi-qubit systems. Existing multi-qubit visualization attempts, such as VENUS, have shown promise but often face limitations in scalability beyond a few qubits. This paper introduces state-o-gram, a novel 2D visualization approach designed to intuitively represent quantum states for an arbitrary number of qubits. state-o-gram effectively visualizes probability amplitudes and phase angles in a unified 2D framework, addressing the limitations of prior art. We detail its design principles, visual elements, and application to multi-qubit systems, aiming to provide a scalable and intuitive tool for quantum state analysis. We evaluate the applicability by visualizing the states throughout the Deutsch-Josza algorithm.