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arXiv 1601.02741quant-ph
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非惯性系中的二分量子相干性

Bipartite quantum coherence in noninertial frames

Xu Chen, Chunfeng Wu, Hong-Yi Su, Chang-Liang Ren, Jing-Ling Chen

摘要:

量子相干性作为量子物理的基本特性,为量子计算提供了超越经典算法的宝贵资源。相对论系统中量子相干性的研究无论从理论上还是从实际应用上都具有重要意义。利用相干性的相对熵研究了两个相对加速观测者观测到的标量场和狄拉克场两个自由模的量子相干性。我们发现,相干的相对熵单调递减时,加速度上升,作为Unruh效应的后果。具体地,具有参数$α=b$和$α=\sqrt{1-b^2}$的初始状态在$a=0$(具有加速度$a$)处具有相同的初始相对熵相干性,但是沿着两个不同的轨迹降级。在无限加速极限下,相干的相对熵在标量场中为零,而在狄拉克场中为非零。这表明在Dirac场中,随着相对加速度的变化,二分态具有一定的量子相干性,并可能在相对运动的观测者进行量子计算中有潜在的应用。

英文摘要:

Quantum coherence as the fundamental characteristic of quantum physics, provides the valuable resource for quantum computation in exceeding the power of classical algorithms. The exploration of quantum coherence in relativistic systems is of significance from both the fundamental points of view and practical applications. We investigate the quantum coherence of two free modes of scalar and Dirac fields as detected by two relatively accelerated observers by resorting to the relative entropy of coherence. We show that the relative entropy of coherence monotonically decreases when acceleration goes up, as a consequence of the Unruh effect. Specifically, the initial states with parameters $α=b$ and $α=\sqrt{1-b^2}$ have the same initial relative entropy coherence at $a=0$ (with $a$ the acceleration), but degrade along two different trajectories. The relative entropy of coherence reaches vanishing value in the scalar field in the infinite acceleration limit, but non-vanishing value in the Dirac field. This suggests that in the Dirac field, the bipartite state possesses quantum coherence to some extent with the variation of the relative acceleration, and may lead to potential applications in quantum computation performed by observers in motion relatively.

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