We study the generation of hybrid entanglement in a one-dimensional quantum walk. In particular, we explore the preparation of maximally entangled states between position and spin degrees of freedom. We address it as an optimization problem, where the cost function is the Schmidt norm. We then benchmark the algorithm and compare the generation of entanglement between the Hadamard quantum walk, the random quantum walk and the optimal quantum walk. Finally, we discuss an experimental scheme with a photonic quantum walk in the orbital angular momentum of light. The experimental measurement of entanglement can be achieved with quantum state tomography.

中文翻译：

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一维量子游动中混合最大纠缠态的产生

我们研究了一维量子游走中混合纠缠的产生。特别地，我们探索位置和自旋自由度之间最大纠缠态的准备。我们将其作为优化问题解决，其中成本函数为Schmidt范数。然后，我们对算法进行基准测试，并比较Hadamard量子游走，随机量子游走和最佳量子游走之间的纠缠生成。最后，我们讨论了在光的轨道角动量中具有光子量子行走的实验方案。纠缠的实验测量可以通过量子态层析成像来实现。