用多比特纠缠远程实现单元门

IF 1.3 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
Lingjun Xiong, Ziwei Chen
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引用次数: 0

摘要

实现量子非局部运算在量子计算、量子信息和量子密码学中具有重要意义。本研究探索了实现高保真非局部操作的概率协议\(U_{AB}(\lambda )=e^{i\lambda \sigma _{n_{A}}\sigma _{n_{B}}}\), \(\lambda \in (0,\frac{\pi }{2})\),特别是研究了它们对更一般的量子纠缠态的适用性。这涉及到Alice和Bob之间的协作努力,使用局部统一操作和度量来有效地实现非局部门。此外,我们还将一般技术推广到纠缠量子态是多体的情况下,发现可以实现多体非局部运算\(U_{A_{1}A_{2}\cdots A_{N}C}(\xi )=e^{i\xi \sigma _{n_{A_{1}}}\sigma _{n_{A_{2}}}\cdots \sigma _{n_{A_{N}}}\sigma _{n_{C}}}\), \(\xi \in (0,\frac{\pi }{2})\)。更重要的是,我们期望在实际应用中遇到量子噪声产生的影响,但对于特定的应用,我们可以找到适当的方法来减轻量子噪声的影响。总之,这一领域的进展表明了有希望的结果,展示了用最少的资源实现复杂量子运算的潜力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Remote Implementation of Unitary Gates in Terms of Multiqubit Entanglement

Realizing quantum nonlocal operations is important in quantum computing, quantum information, and quantum cryptography. This study explores probabilistic protocols to achieve high-fidelity nonlocal operation \(U_{AB}(\lambda )=e^{i\lambda \sigma _{n_{A}}\sigma _{n_{B}}}\), \(\lambda \in (0,\frac{\pi }{2})\) particularly investigating their applicability to more general quantum entangled states. This involves collaborative efforts between Alice and Bob, employing local unitary operations and measurements to implement nonlocal gates effectively. What’s more, we also extend the general technique to the case when the entangled quantum state is many-body, and we find that it is possible to realize a many-body nonlocal operation \(U_{A_{1}A_{2}\cdots A_{N}C}(\xi )=e^{i\xi \sigma _{n_{A_{1}}}\sigma _{n_{A_{2}}}\cdots \sigma _{n_{A_{N}}}\sigma _{n_{C}}}\), \(\xi \in (0,\frac{\pi }{2})\). What’s more, we expect to encounter the effects generated by quantum noise in practical applications, but for specific applications we can find appropriate ways to mitigate the effects of quantum noise. In a word, advances in this area suggest promising results, demonstrating the potential to realize complex quantum operations using minimal resources.

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来源期刊
CiteScore
2.50
自引率
21.40%
发文量
258
审稿时长
3.3 months
期刊介绍: International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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