Unverified50% confidenceFactExact time
Quantum circuits composed solely of Clifford gates can be efficiently simulated on a classical computer, as proven by the Gottesman-Knill theorem.
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Long-term
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10/15/2026
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UnverifiedThis study provides approximation-theoretic support for models in quantum machine learning that process quantum state inputs, and introduces Sobolev regularity—a classical measure of smoothness—into the quantum setting.75% similarUnverified"Clifford gates + T gate" constitutes a complete gate set for universal quantum computation, and any quantum algorithm can be approximately implemented with this set of gates.73% similarUnverifiedGrover算法要求量子计算机执行串行量子操作，无法像经典计算那样简单横向扩展并行70% similarUnverifiedThis study derives approximation rates for Sobolev functions defined on quantum input spaces, combining harmonic analysis on compact groups with finite-depth quantum circuit approximation within a single framework.68% similarUnverifiedA quantum gate is the basic unit of operation that realizes controlled evolution of quantum states by applying precise physical pulses (such as lasers or microwaves) to qubits; quantum gate fidelity directly determines the final correctness rate of a quantum algorithm.67% similar
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