Quantum

Resource-Aware Grover Search for Minimum Vertex Cover

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 07/10/2026, 04:13:25 UTC.

Briefings

A 2026 arXiv preprint proposes three encoding strategies for Grover-based Minimum Vertex Cover (MVC) search to reduce quantum resource overhead. The authors evaluate Dicke-Parallel, Edge-Counting, and Edge-Centric formulations, finding that Edge-Counting is optimal for tight qubit constraints, while Edge-Centric reduces circuit depth and iteration count when the graph has moderate edge counts. The study highlights trade-offs between qubit width, circuit depth, gate count, and Grover iteration count, providing practical guidance for hardware-constrained applications.

Key points

• The Minimum Vertex Cover (MVC) problem is an NP-hard combinatorial optimization problem used in network analysis and resource allocation.
• Edge-Counting formulation replaces per-edge auxiliary storage with a logarithmic-size counting register, substantially reducing ancillary-qubit requirements.

Context and limitations

The study is an arXiv preprint dated October 2026, with snapshot limitations on the evaluation of specific graph structures and hardware constraints.

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