arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2210.03048quant-phcs.DS
收藏

纠缠量子态保真度的可扩展实验界限

Scalable Experimental Bounds for Entangled Quantum State Fidelities

Shamminuj Aktar, Andreas Bärtschi, Abdel-Hameed A. Badawy, Stephan Eidenbenz

AI总结:

本研究通过高效实现可扩展电路,在Quantinuum H1离子阱系统上首次测得高达N=10的Dicke态和N=20的GHZ态的态制备保真度下界,为NISQ设备上的纠缠基准测试提供了新路径。

摘要:

在含噪中等规模量子(NISQ)设备上估计高度纠缠态的态制备保真度,对于基准测试和应用考量至关重要。遗憾的是,精确的保真度测量很快变得极其昂贵,因为对于N比特态,使用在所有Pauli基组合下进行测量的全态层析成像,其复杂度按O(3^N)呈指数级扩展。然而,Somma等人[PhysRevA.74.052302]证明,当考察具有对称性的态(如Dicke态和GHZ态)的保真度下界时,复杂度可以大幅降低。这些下界对于较大的态仍必须足够紧致,以便在NISQ设备上提供合理的估计。在理论提出15多年后,我们首次报告了在Quantinuum H1离子阱系统上,使用最近提出的可扩展电路的高效实现,对于所有高达N=10的Dicke态和所有高达N=20的GHZ态的态制备保真度的有意义的下界。我们取得的下界匹配或超过了超导系统上针对小得多态所报告的精确保真度。此外,我们提供证据表明,对于大型Dicke态D^N_{N/2},我们可以采用基于GHZ的近似态制备来实现更好的保真度。这项工作为随着NISQ设备在规模和质量上的提升来对纠缠进行基准测试提供了一条前进路径。

英文摘要:

Estimating the state preparation fidelity of highly entangled states on noisy intermediate-scale quantum (NISQ) devices is important for benchmarking and application considerations. Unfortunately, exact fidelity measurements quickly become prohibitively expensive, as they scale exponentially as $O(3^N)$ for $N$-qubit states, using full state tomography with measurements in all Pauli bases combinations. However, Somma and others [PhysRevA.74.052302] established that the complexity could be drastically reduced when looking at fidelity lower bounds for states that exhibit symmetries, such as Dicke States and GHZ States. These bounds must still be tight enough for larger states to provide reasonable estimations on NISQ devices. For the first time and more than 15 years after the theoretical introduction, we report meaningful lower bounds for the state preparation fidelity of all Dicke States up to $N=10$ and all GHZ states up to $N=20$ on Quantinuum H1 ion-trap systems using efficient implementations of recently proposed scalable circuits for these states. Our achieved lower bounds match or exceed previously reported exact fidelities on superconducting systems for much smaller states. Furthermore, we provide evidence that for large Dicke States $D^N_{N/2}$, we may resort to a GHZ-based approximate state preparation to achieve better fidelity. This work provides a path forward to benchmarking entanglement as NISQ devices improve in size and quality.

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。

↑