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延边大学学报:自然科学版

C^2C^6中的最大纠缠基与无偏基

雷丽霞, 王天娇, 南华

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

利用C^2×C^6空间的特点,避开了不可扩展的最大纠缠基,给出了一组完全由最大纠缠态组成的C^2×C^6空间的完备基,并通过构造C^6的一个标准正交基得到了C^2×C^6空间上的另一组完备的最大纠缠基,最后证明了这两组基是互不偏的。

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We study ultrasmall Josephson junctions using the coherent picture to describe the pair dynamics and the semiclassical approach for the quasiparticles. We find that the dynamics depends crucially on the ratio of the superconducting gap energy \ensuremath{\Delta}(T) to the charging energy e2{\mathrm{e}}^{2}e2/2C. The pair ``Bloch oscillations'' can be practically observed when 2\ensuremath{\Delta}(T)>e2{\mathrm{e}}^{2}e2/2C; for 2\ensuremath{\Delta}(T)e2{\mathrm{e}}^{2}e2/2C the Idc/e{\mathrm{I}}_{\mathrm{dc}/\mathrm{e}}Idc/e​ oscillations due to quasiparticle tunneling can be observed. We discuss under what conditions the I-V characteristic will be S-shaped, exhibiting both oscillations at different values of the current.
We show that the three-qubit entanglement classes, (0) null, (1) separable $A\text{\ensuremath{-}}B\text{\ensuremath{-}}C$, (2a) biseparable $A\text{\ensuremath{-}}BC$, (2b) biseparable $B\text{\ensuremath{-}}CA$, (2c) biseparable $C\text{\ensuremath{-}}AB$, (3) WWW, and (4) Greenberger-Horne-Zeilinger, correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3, and 4 of a Freudenthal triple system defined over the Jordan algebra $\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}$. We also compute the corresponding stochastic local operations and classical communication orbits.
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