Efficient Learning of Quantum States Prepared With Few Non-Clifford Gates II: Single-Copy Measurements

التفاصيل البيبلوغرافية
العنوان: Efficient Learning of Quantum States Prepared With Few Non-Clifford Gates II: Single-Copy Measurements
المؤلفون: Grewal, Sabee, Iyer, Vishnu, Kretschmer, William, Liang, Daniel
سنة النشر: 2023
المجموعة: Computer Science
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Computer Science - Machine Learning
الوصف: Recent work has shown that $n$-qubit quantum states output by circuits with at most $t$ single-qubit non-Clifford gates can be learned to trace distance $\epsilon$ using $\mathsf{poly}(n,2^t,1/\epsilon)$ time and samples. All prior algorithms achieving this runtime use entangled measurements across two copies of the input state. In this work, we give a similarly efficient algorithm that learns the same class of states using only single-copy measurements.
Comment: This work has been merged into arXiv:2305.13409
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2308.07175
رقم الأكسشن: edsarx.2308.07175
قاعدة البيانات: arXiv