arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1601.01552quant-ph
收藏

通过EPR转向进行自检

Self-testing through EPR-steering

Ivan Šupić, Matty J. Hoban

摘要:

量子器件的验证是量子信息的一个重要方面,特别是随着更先进的计算和安全通信实验实现的出现。在此范围内,通过贝尔测试的独立于设备的鲁棒自测试理论已经达到了成熟的水平,因为许多量子态和测量可以在不直接访问量子系统的情况下进行验证:与设备的相互作用仅仅是经典的。然而,这种强大的验证水平的要求是令人生畏的,需要高水平的实验精度。在本文中,我们讨论了自我测试的可能性,我们可以直接访问量子设备的一部分。这激发了通过EPR转向进行自测试的研究,EPR转向是全状态层析成像和贝尔测试之间的纠缠验证的中间形式。量子非局部性意味着EPR转向,因此前者的结果可以应用于后者,但我们问,如果可以进行部分状态层析成像,则从后者中可以收集到比前者更大的优势。我们表明,在自测试的情况下,最大纠缠的两个量子比特状态,或ebit,EPR转向允许更简单的分析和更好的容错性比在完全设备独立的情况下。另一方面,这种改进只是一种不断的改进,(直到常数)是人们所能希望的最好的。最后,我们指出,在自测试的EPR导向的基础上的主要优势可能是在自测试的情况下,多体量子态和测量。例如,即使我们无法访问全局量子系统中特定一方的希尔伯特空间,也可以更容易地建立一个张量积结构。

英文摘要:

The verification of quantum devices is an important aspect of quantum information, especially with the emergence of more advanced experimental implementations of computation and secure communication. Within this, the theory of device-independent robust self-testing via Bell tests has reached a level of maturity now that many quantum states and measurements can be verified without direct access to the quantum systems: interaction with the devices is solely classical. However, the requirements for this robust level of verification are daunting and require high levels of experimental accuracy. In this paper we discuss the possibility of self-testing where we have direct access to part of the quantum device. This motivates the study of self-testing via EPR-steering, an intermediate form of entanglement verification between full state tomography and a Bell test. Quantum non-locality implies EPR-steering so results in the former can apply in the latter, but we ask what advantages may be gleaned from the latter over the former given that one can do partial state tomography. We show in the case of self-testing a maximally entangled two-qubit state, or ebit, EPR-steering allows for simpler analysis and better error tolerance than in the case of full device-independence. On the other hand, this improvement is only a constant improvement and (up to constants) is the best one can hope for. Finally, we indicate that the main advantage in self-testing based on EPR-steering could be in the case of self-testing multi-partite quantum states and measurements. For example, it may be easier to establish a tensor product structure for a particular party's Hilbert space even if we do not have access to their part of the global quantum system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑