Discriminating distinguishability
Discriminating distinguishability
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DOI：
10.1103/physreva.98.043839
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发表时间：
2018-06
影响因子：
2.9
通讯作者：
Stasja Stanisic;P. Turner
中科院分区：
文献类型：
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作者：
Stasja Stanisic;P. Turner
粒子可分辨性是量子技术的一个重大挑战，特别是光子学，其中Hong-Ou-Mandel （HOM）效应清楚地表明它对量子干涉有害。我们在第一次量子化中采用表征理论方法，将粒子的希尔伯特空间分成我们控制的自由度和我们不控制的自由度，产生一个量子信息启发的二部分模型，其中可区分性可以与粒子本身携带的环境相关。这清楚地表明，HOM实验是（混合）状态判别协议的一个实例，该协议可以推广到干涉仪，该干涉仪可以明确区分理想的不可区分状态和有趣的可区分状态，从而导致对多个粒子和模式的任意HOM推广的成功概率的界限。在详细阐述了第一个量子化形式之后，我们考虑了几种情况，并提供了九种模式下多达九个光子的分析和数值结果的组合。尽管量子傅里叶变换具有突出的特点，但我们看到它对于区分完全可区分的状态是次优的。
Particle distinguishability is a significant challenge for quantum technologies, in particular photonics where the Hong-Ou-Mandel (HOM) effect clearly demonstrates it is detrimental to quantum interference. We take a representation theoretic approach in first quantisation, separating particles' Hilbert spaces into degrees of freedom that we control and those we do not, yielding a quantum information inspired bipartite model where distinguishability can arise as correlation with an environment carried by the particles themselves. This makes clear that the HOM experiment is an instance of a (mixed) state discrimination protocol, which can be generalised to interferometers that discriminate unambiguously between ideal indistinguishable states and interesting distinguishable states, leading to bounds on the success probability of an arbitrary HOM generalisation for multiple particles and modes. After setting out the first quantised formalism in detail, we consider several scenarios and provide a combination of analytical and numerical results for up to nine photons in nine modes. Although the Quantum Fourier Transform features prominently, we see that it is suboptimal for discriminating completely distinguishable states.