Protocols and Trade-Offs of Quantum State Purification

التفاصيل البيبلوغرافية
العنوان: Protocols and Trade-Offs of Quantum State Purification
المؤلفون: Yao, Hongshun, Chen, Yu-Ao, Huang, Erdong, Chen, Kaichu, Wang, Xin
سنة النشر: 2024
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Quantum state purification plays a pivotal role in quantum communication and quantum computation, aiming to recover the purified state from multiple copies of an unknown noisy state. This work introduces a general state purification framework designed to achieve the highest fidelity with a specified probability and characterize the associated trade-offs. In particular, for i.i.d. quantum states under depolarizing noise, we propose an explicit purification protocol capable of achieving maximal fidelity with a target probability. Furthermore, we present quantum circuits for implementing the optimal purification protocols via the block encoding technique and propose recursive protocols for stream purification. Finally, we demonstrate the advantages of our protocols in terms of efficiency and flexibility in purifying noisy quantum states under various quantum noise models of interest, showcasing the effectiveness and versatility of our approach.
Comment: 20 pages including appendix, v2 updated the main results
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.01138
رقم الأكسشن: edsarx.2404.01138
قاعدة البيانات: arXiv