GraphStateVis: Interactive Visual Analysis of Qubit Graph States and their Stabilizer Groups

• URL: http://arxiv.org/abs/2105.12752v2
• Date: Mon, 22 Nov 2021 11:31:04 GMT
• Title: GraphStateVis: Interactive Visual Analysis of Qubit Graph States and their Stabilizer Groups
• Authors: Matthias Miller and Daniel Miller
• Abstract summary: We introduce GraphStateVis, a web-based application for the visual analysis of qubit graph states and their stabilizer groups. The user can explore graph-state-specific properties, including the Pauli-weight distribution of its stabilizer operators. We propose a use case in the context of near-term quantum algorithms to illustrate the capabilities of our prototype.
• Score: 1.332560004325655
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Fathoming out quantum state space is a challenging endeavor due to its exponentially growing dimensionality. At the expense of being bound in its expressiveness, the discrete and finite subspace of graph states is easier to investigate via a pictorial framework accompanied with a theoretical toolkit from the stabilizer formalism. Analyzing hand-drawn graphs is a tedious and time-consuming task and imposes limitations to the problem sizes that can be addressed. Similarly, algorithmic studies using adjacency matrices alone lack the benefit of a visual representation of the states. We argue that applying visual analytics to investigate graph states can be advantageous. To this end, we introduce GraphStateVis, a web-based application for the visual analysis of qubit graph states and their stabilizer groups. Our tool facilitates the interactive construction of a graph through multiple components supported by linking and brushing. The user can explore graph-state-specific properties, including the Pauli-weight distribution of its stabilizer operators and noise thresholds for entanglement criteria. We propose a use case in the context of near-term quantum algorithms to illustrate the capabilities of our prototype. We provide access to GraphStateVis as an open-source project and invite the broader quantum computing and engineering communities to take advantage of this tool and further boost its development.

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