arXiv:2507.06344v3 Announce Type: replace-cross Abstract: Variational Quantum Algorithms are promising candidates for near-term quantum computing, yet they face scalability challenges due to barren plateaus, where gradients vanish exponentially relative to system size. Recent conjectures suggest that avoiding these plateaus might inherently lead to classical simulability, thereby limiting the opportunities for quantum advantage. In this work, we advance the theoretical understanding of the relationship between gradient scalability at initialization and the computational complexity of variation
The paper addresses fundamental limitations of Variational Quantum Algorithms, a key area of current quantum computing research, at a critical juncture for developing scalable quantum systems.
This work deepens the theoretical understanding of quantum advantage in near-term quantum computing, influencing development paths and commercial expectations for quantum hardware and algorithms.
Our understanding of the boundary between classically simulable and genuinely quantum-advantaged problems in variational quantum computing is becoming more defined, potentially re-shaping research priorities.
- · Quantum computing theorists
- · Developers of quantum error correction
- · Researchers exploring alternative quantum computing paradigms
- · Developers relying solely on NISQ variational algorithms
- · Organizations with overly optimistic short-term quantum advantage expectations
The findings will guide the design of more robust and scalable quantum algorithms, as well as new quantum hardware architectures.
It may accelerate investment into quantum error correction and fault-tolerant quantum computing as a pathway to genuine quantum advantage.
The clearer delineation of quantum advantage could lead to a more realistic assessment of the timelines for impactful quantum applications, potentially reallocating R&D funds.
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