Mapping a Hadamard Quantum Walk to a Unique Case of a Birth and Death Process

Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state

In this paper, we consider an extended coined Szegedy model and discuss the existence of the point spectrum of induced quantum walks in terms of recurrence properties of the underlying birth and death process. We obtain that if the underlying random walk is not null recurrent, then the point spectrum exists in the induced quantum walks. As an application, we provide a simple computational way of the dispersion relation of the edge state part for the topological phase model driven by quantum walk using the recurrence properties of underlying birth and death process.

Distillability sudden death and sudden birth in a two-qutrit system under decoherence of finite temperature

Distillability sudden death and sudden birth in a two-qutrit system under decoherence of finite temperature is studied in detail. By using of the negativity and realignment criterion, it is shown that certain initial prepared free entangled states may become bound entangled or separable states in a finite time. Moreover, initial prepared bound entangled or separable states also may become distillabile entangled states in a finite time.

超越马尔可夫近似的纠缠的突然死亡和诞生

Sudden death and birth of entanglement beyond the Markovian approximation

在马尔可夫近似下，研究了两个初始纠缠的量子比特与两个不相关的库相互作用的纠缠动力学。这与马尔可夫水库的情况完全不同[C. E. Lopez等人，物理修订信函101（2008）080503]，我们发现两个库的纠缠突然诞生（ESB）相对于两个量子比特的纠缠突然死亡（ESD）没有一定的对称性。最后给出了纠缠复兴的唯象解释。

多体系统纠缠的突然产生与突然消失

Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems

我们研究了两个腔与独立库相互作用系统的纠缠动力学。不出所料，我们观察到，随着腔纠缠被耗尽，它被转移到水库自由度。我们发现，当腔纠缠突然消失时，库纠缠必然突然出现。令人惊讶的是，我们发现这种{ \it纠缠突然诞生}可以在{ \it纠缠突然死亡}之前、同时甚至之后出现。最后，我们提出了其他纠缠分区和高维系统的解释性研究。

Entanglement sudden death and birth effects in two qubits maximally entangled mixed states under quantum channels

In the present article, the robustness of entanglement in two qubits maximally entangled mixed states (MEME) have been studied under quantum decoherence channels. Here we consider bit flip, phase flip, bit-phase-flip, amplitude damping, phase damping and depolarization channels. To quantify the entanglement, the concurrence has been used as an entanglement measure. During this study interesting results have been found for sudden death and birth of entanglement under bit flip and bit-phase-flip channels. While amplitude damping channel produces entanglement sudden death and does not allow re-bi…

Kerr非线性耦合器纠缠效应的突然消亡与诞生

Sudden Death and Birth of Entanglement Effects for Kerr-Nonlinear Coupler

分析了非线性Kerr耦合器与外界环境相互作用中的纠缠动力学。每当库处于热真空状态时，纠缠（通过两量子比特系统的并发度测量）表现出振幅减小的规则振荡。相比之下，对于热库，我们可以观察到暗周期的并发振荡（这可以被称为“突然死亡”的纠缠）和纠缠重建（这可以被命名为“突然出生”的纠缠）。我们发现，当我们处理2-qubit系统以及$2\otimes 3$系统时，可以观察到这些特征。