Unverified50% confidenceFactExact time
The Solovay–Kitaev theorem states that any single-qubit unitary operation can be efficiently approximated to polynomial depth by a universal gate set, with the approximation depth growing polylogarithmically with precision.
1
Sources
50%
Confidence
Long-term
Relevance
10/12/2026
First Seen
Sources
Related Entities
Related Claims
UnverifiedThis 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.72% similarVerifiedTerence Tao collaborated with Ben Green to prove the Green-Tao theorem, which states that the prime numbers contain arbitrarily long arithmetic progressions.66% similarUnverifiedThe superposition and entanglement properties of qubits can theoretically represent state spaces in an exponentially compressed manner, thereby achieving exponential speedup in certain RL tasks.65% similarUnverified火腿三明治定理断言在n维空间中，对任意n个可测物体，总存在一个(n-1)维超平面能同时将它们逐一二等分64% similarUnverified量子计算的不可复现性来自两个层面：量子测量的固有概率性（由波恩规则决定，无法消除）和运行时决策中引入的经典随机性（可通过固定种子复现）62% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/1001368API
curl https://kongchang.com/api/v1/knowledge/claims/1001368MCP
get_claim(id=1001368)