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Chinese Physics Letters

Testing Evolution Equation for Entanglement of Two-Qubit Systems in Noisy Channels on Ensemble Quantum Computers

张晗, 罗军, 任婷婷, 孙献平

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

我们报导为四只钟的纠纷的 decoherence 动力学的试验性的示范在整体量计算机上在 two-qubit 说原子纺纱的系统。使用人工的错误操作员模仿吵闹的隧道，我们试验性地在四个贝尔状态上调查噪音的效果，并且而且观察为在由精明的同时发生的不同吵闹的隧道的四个贝尔状态的纠纷的时间进化。我们在一样的人工的错误操作下面的不同贝尔状态的同时发生举办的试验性的结果表演一样在试验性的错误以内珍视，并且独立于不同贝尔状态。这些试验性的结果证实理论进化方程由 Konrad 等发展了[自然 Phys。4 (2008 ) 99 ] 为 two-qubit 纠纷。[从作者抽象]

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理论物理通讯：英文版•Jan 1, 2016•0 citations
我们报导为四只钟的纠纷的 decoherence 动力学的试验性的示范在整体量计算机上在 two-qubit 说原子纺纱的系统。使用人工的错误操作员模仿吵闹的隧道，我们试验性地在四个贝尔状态上调查噪音的效果，并且而且观察为在由精明的同时发生的不同吵闹的隧道的四个贝尔状态的纠纷的时间进化。我们在一样的人工的错误操作下面的不同贝尔状态的同时发生举办的试验性的结果表演一样在试验性的错误以内珍视，并且独立于不同贝尔状态。这些试验性的结果证实理论进化方程由 Konrad 等发展了[自然 Phys。4 (2008 ) 99 ] 为 two-qubit 纠纷。[从作者抽象]
We report the experimental demonstration of decoherence dynamics of entanglement for the four Bell states in two-qubit nuclear-spin systems on ensemble quantum computers. Using artificial error operators to simulate noisy channels, we experimentally investigate the effect of noises on the four Bell states, and furthermore observe the time evolution of entanglement for the four Bell states in different noisy channels by calculating concurrences. Our experimental results show that the concurrences of the different Bell states under the same artificial error operations have the same values within the experimental error, and are independent of the different Bell states. These experimental results verify the theoretical evolution equation developed by Konrad et al.[Nature Phys. 4 (2008) 99] for two-qubit entanglement.
We explore how entanglement of a bipartite system evolves when one subsystem undergoes the action of an arbitrary noisy channel. It is found that the dynamics of entanglement of such system is determined by the channel's action on the maximally entangled state, which includes as a special case the results for two-qubit systems [Konrad et al., Nat. Phys. 4, 99 (2008)]. In particular, for multiqubit or qubit-qudit systems, we get a general factorization law for the evolution equation of entanglement, with one qubit being subject to a noisy channel.
For a two-qubit system under local depolarizing channels, the most robust and most fragile states are derived for a given concurrence or negativity. For the one-sided channel, the pure states are proved to be the most robust ones, with the aid of the evolution equation for entanglement given by Konrad \emph{et al.} [Nat. Phys. 4, 99 (2008)]. Based on a generalization of the evolution equation for entanglement, we classify the ansatz states in our investigation by the amount of robustness, and consequently derive the most fragile states. For the two-sided channel, the pure states are the most robust for a fixed concurrence. Under the uniform channel, the most fragile states have the minimal negativity when the concurrence is given in the region [1/2,1][1/2,1][1/2,1]. For a given negativity, the most robust states are the ones with the maximal concurrence, and the most fragile ones are the pure states with minimum of concurrence. When the entanglement approaches zero, the most fragile states under general nonuniform channels tend to the ones in the uniform channel. Influences on robustness by entanglement, degree of mixture, and asymmetry between the two qubits are discussed through numerical calculations. It turns out that the concurrence and negativity are major factors for the robustness. When they are fixed, the impact of the mixedness becomes obvious. In the nonuniform channels, the most fragile states are closely correlated with the asymmetry, while the most robust ones with the degree of mixture.
有他们的环境的纠缠的 qubits 的不可避免的相互作用可以导致量关联的降级，这被知道。我们在一般本地站在一起单人赛、两方面的抑制振幅的隧道(模数转换器) 下面学习二遥远的 qubits 的 decoherence。由使用同时发生，量不一致和 ClauserHorneShimonyHolt (CHSH ) 不平等，我们发现在剩余量关联之间的关系和起始的是不同的。最近，王等。[Int。J。Theor。Phys。54 (2015 ) 5 ] 在那里显示出那存在以剩余量关联是比最大地纠缠的状态更柔韧的一套部分纠缠的状态分别地由同时发生，充分纠缠的部分和量不一致测量了。这里，我们在站在一起单人赛、两方面的模数转换器发现那两个，仅仅有起始的参数的 CHSH 不平等的进化与起始的 nonlocality 的成正比。那意味着起始的状态与最大地， nonlocality 将在进化保留它的角色。它暗示 nonlocality 的进化可以更好揭示量状态的特征。而且，我们在抑制隧道(GADC ) 的概括振幅下面与起始的参数讨论三不同的量大小的进化并且发现他们都与起始的状态的成正比。