Sample complexity of quantum state cloning fully resolved: proving n=Θ(krd/ε) copies necessary and sufficient for cloning rank-r mixed states. PCT algorithm combining purification, cloning, and tracing achieves optimal scaling.
#QuantumCloning #SampleComplexity #Research
#QuantumCloning #SampleComplexity #Research
Optimal Cloning of Mixed Quantum States
arxiv.org
August 28, 2026 at 6:50 AM
Sample complexity of quantum state cloning fully resolved: proving n=Θ(krd/ε) copies necessary and sufficient for cloning rank-r mixed states. PCT algorithm combining purification, cloning, and tracing achieves optimal scaling.
#QuantumCloning #SampleComplexity #Research
#QuantumCloning #SampleComplexity #Research
New research shows bilevel RL can reach sample‑complexity O(ε⁻³) in state‑action tasks, beating O(ε⁻⁶) bound, with a Hessian‑free first‑order hypergradient method. Read more: https://getnews.me/sample-complexity-breakthrough-for-bilevel-reinforcement-learning/ #bilevelrl #samplecomplexity
October 1, 2025 at 12:53 PM
New research shows bilevel RL can reach sample‑complexity O(ε⁻³) in state‑action tasks, beating O(ε⁻⁶) bound, with a Hessian‑free first‑order hypergradient method. Read more: https://getnews.me/sample-complexity-breakthrough-for-bilevel-reinforcement-learning/ #bilevelrl #samplecomplexity
New breakthrough: isotonic calibration now hits O(n⁻¹/³) sample complexity, unlocking cost‑optimal routing for LLMs. Curious how this changes AI scaling? Dive in! #IsotonicCalibration #SampleComplexity #LLMRouting
🔗 aidailypost.com/news/isotoni...
🔗 aidailypost.com/news/isotoni...
May 20, 2026 at 8:08 PM
New breakthrough: isotonic calibration now hits O(n⁻¹/³) sample complexity, unlocking cost‑optimal routing for LLMs. Curious how this changes AI scaling? Dive in! #IsotonicCalibration #SampleComplexity #LLMRouting
🔗 aidailypost.com/news/isotoni...
🔗 aidailypost.com/news/isotoni...