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Efficient Verification of Continuous-Variable Quantum States and Devices without Assuming Identical and Independent Operations
Physical Review Letters ( IF 8.6 ) Pub Date : 2021-06-16 , DOI: 10.1103/physrevlett.126.240503
Ya-Dong Wu 1 , Ge Bai 1 , Giulio Chiribella 1, 2, 3, 4 , Nana Liu 5, 6, 7
Affiliation  

Continuous-variable quantum information, encoded into infinite-dimensional quantum systems, is a promising platform for the realization of many quantum information protocols, including quantum computation, quantum metrology, quantum cryptography, and quantum communication. To successfully demonstrate these protocols, an essential step is the certification of multimode continuous-variable quantum states and quantum devices. This problem is well studied under the assumption that multiple uses of the same device result in identical and independently distributed (i.i.d.) operations. However, in realistic scenarios, identical and independent state preparation and calls to the quantum devices cannot be generally guaranteed. Important instances include adversarial scenarios and instances of time-dependent and correlated noise. In this Letter, we propose the first set of reliable protocols for verifying multimode continuous-variable entangled states and devices in these non-i.i.d scenarios. Although not fully universal, these protocols are applicable to Gaussian quantum states, non-Gaussian hypergraph states, as well as amplification, attenuation, and purification of noisy coherent states.

中文翻译:

有效验证连续可变量子态和设备,无需假设相同和独立的操作

编码到无限维量子系统中的连续可变量子信息是实现许多量子信息协议的有前途的平台,包括量子计算、量子计量学、量子密码学和量子通信。为了成功演示这些协议,一个必不可少的步骤是多模连续可变量子态和量子设备的认证。在假设多次使用同一设备会导致相同且独立的分布式 (iid) 操作的情况下,对这个问题进行了深入研究。然而,在现实场景中,通常无法保证相同且独立的状态准备和对量子设备的调用。重要的实例包括对抗性场景以及时间相关和相关噪声的实例。在这封信中,我们提出了第一组可靠的协议,用于在这些非 iid 场景中验证多模连续变量纠缠状态和设备。虽然不完全通用,但这些协议适用于高斯量子态、非高斯超图态,以及噪声相干态的放大、衰减和净化。
更新日期:2021-06-16
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