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arXiv · 2411.03296

Quantum Communication Advantage in TFNP

Mika Göös·Tom Gur·Siddhartha Jain·Jiawei Li
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Abstract

We exhibit a total search problem with classically verifiable solutions whose communication complexity in the quantum SMP model is exponentially smaller than in the classical two-way randomized model. Our problem is a bipartite version of a query complexity problem recently introduced by Yamakawa and Zhandry (JACM 2024). We prove the classical lower bound using the structure-vs-randomness paradigm for analyzing communication protocols.

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Mika Göös, Tom Gur, Siddhartha Jain, Jiawei Li. 2024-11-05. Quantum Communication Advantage in TFNP. https://arxiv.org/abs/2411.03296

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