> Sharing Resource < Ok, that's huge: "Exponential quantum advantage in processing massive classical data" by Haimeng Zhao, Alexander Zlokapa, Hartmut Neven, Ryan Babbush, John Preskill, Jarrod R. McClean, Hsin-Yuan (Robert) Huang Abstract: Broadly applicable quantum advantage, particularly in classical data processing and machine learning, has been a fundamental open problem. In this work, we prove that a small quantum computer of polylogarithmic size can perform large-scale classification and dimension reduction on massive classical data by processing samples on the fly, whereas any classical machine achieving the same prediction performance requires exponentially larger size. Furthermore, classical machines that are exponentially larger yet below the required size need superpolynomially more samples and time. We validate these quantum advantages in real-world applications, including single-cell RNA sequencing and movie review sentiment analysis, demonstrating four to six orders of magnitude reduction in size with fewer than 60 logical qubits. These quantum advantages are enabled by quantum oracle sketching, an algorithm for accessing the classical world in quantum superposition using only random classical data samples. Combined with classical shadows, our algorithm circumvents the data loading and readout bottleneck to construct succinct classical models from massive classical data, a task provably impossible for any classical machine that is not exponentially larger than the quantum machine. These quantum advantages persist even when classical machines are granted unlimited time or if BPP=BQP, and rely only on the correctness of quantum mechanics. Together, our results establish machine learning on classical data as a broad and natural domain of quantum advantage and a fundamental test of quantum mechanics at the complexity frontier. Link: https://lnkd.in/gmA-ntVU #quantummachinelearning #quantumcomputing #research #paper #bigdata #logicalqubits
What are the limitations? Future work?
Thanks for sharing this massive breakthrough, Christophe Pere, PhD ! The fact that this quantum advantage is validated on real-world applications like single-cell RNA sequencing is incredibly exciting. At kyriosMICA, we are also exploring the intersection of quantum mechanics and genetics. By modeling the quantum vibrational states of DNA, we are harvesting biological entropy for Post-Quantum Cryptography. Seeing algorithms like 'quantum oracle sketching' bridge the gap between classical biological data and quantum processing confirms we are entering a new era of biotech. Brilliant paper!
back 2 back quantum breakthroughs
144 pages. That's rich
We are exploring Quantum Neural Networks for early cancer detection, I will share the results in coming weeks
This is an enormous breath of work, and a true breakthrough. Congratulations to the team. Can’t wait to see what is to come.