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arXiv 0906.4960cond-mat.mes-hallquant-ph
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量子可除性检验及其在mesoscopic physics中的应用

Quantum divisibility test and its application in mesoscopic physics

G. B. Lesovik, M. V. Suslov, G. Blatter

摘要:

我们提出了一个量子算法,将一组沿量子线流动的带电粒子的基数转换为一个二进制数。执行此任务的设置(对于最多N个粒子)涉及log_2 N个量子比特用作计数器和顺序读出。应用包括可除性检查,以实验方式测试量子线中粒子的有限训练的大小,并使用一次性测量和允许纠缠多粒子波函数并在马赫-曾德尔干涉仪中产生贝尔态、格林伯格-霍恩-蔡林格态或迪克态的方案。

英文摘要:

We present a quantum algorithm to transform the cardinality of a set of charged particles flowing along a quantum wire into a binary number. The setup performing this task (for at most N particles) involves log_2 N quantum bits serving as counters and a sequential read out. Applications include a divisibility check to experimentally test the size of a finite train of particles in a quantum wire with a one-shot measurement and a scheme allowing to entangle multi-particle wave functions and generating Bell states, Greenberger-Horne-Zeilinger states, or Dicke states in a Mach-Zehnder interferometer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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