We present optimal and minimal measurements on identical copies of an unknown state of a qubit when the quality of measuring strategies is quantified with the gain of information (Kullback of probability distributions). We also show that the maximal gain of information occurs, among isotropic priors, when the state is known to be pure. Universality of optimal measurements follows from our results: using the fidelity or the gain of information, two different figures of merits, leads to exactly the same conclusions. We finally investigate the optimal capacity of $N$ copies of an unknown state as a quantum channel of information.
Ratchet Universality and optimal suppression of shot noise in biharmonically-driven tunnel junctions
Universidad de Zaragoza(萨拉戈萨大学);Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza(阿拉贡纳米科学与材料研究所 (INMA),西班牙国家研究委员会-萨拉戈萨大学);Universidad de Extremadura(埃斯特雷马杜拉大学);Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura(埃斯特雷马杜拉大学先进科学计算研究所 (ICCAEx))
YZ-plane measurement-based quantum computation: Universality and Parity Architecture implementation
Parity Quantum Computing GmbH(Parity量子计算有限公司);Parity Quantum Computing Germany GmbH(Parity量子计算德国有限公司);Institute for Theoretical Physics, University of Innsbruck(因斯布鲁克大学理论物理研究所)
Quantum computational universality of the Cai-Miyake-Dür-Briegel 2D quantum state from Affleck-Kennedy-Lieb-Tasaki quasichains
通用量子计算可以通过简单地对高度纠缠的资源态(如簇态)进行单量子比特测量来实现。Cai、Miyake、Dür和Briegel最近通过组合多个混合自旋3/2和自旋1/2实体的Affleck-Kennedy-Lieb-Tasaki准链,并通过将相邻自旋1/2粒子对映射到单个自旋3/2粒子,构建了二维量子磁体的基态[Phys. Rev. A 82,052309(2010)]。他们表明,这种状态可以通过单自旋测量实现通用量子计算。在这里,我们对这种状态如何产生基于普适测量的量子计算给出了另一种理解:通过局部操作,每个准链可以转换为1D团簇状态,并且两个相邻的逻辑量子比特之间的纠缠门可以通过单自旋测量来实现。我们进一步认为,一个2D集群状态可以从Cai-Miyake-Dür-Briegel状态。
Universality Sacrifices Reliability in Classical-Quantum Channel Coding
The University of Tokyo(东京大学);RIKEN Center for Quantum Computing (RQC)(理化学研究所量子计算中心);The Chinese University of Hong Kong, Shenzhen(香港中文大学(深圳));International Quantum Academy(国际量子学院);Nagoya University(名古屋大学);National Taiwan University(台湾大学);National Center for Theoretical Sciences, Taiwan(台湾理论科学中心);Hon Hai (Foxconn) Quantum Computing Center(鸿海(富士康)量子计算中心)