Toward a Mølmer Sørensen gate with .9999 fidelity

IF 1.5 4区 物理与天体物理 Q3 OPTICS Journal of Physics B: Atomic, Molecular and Optical Physics Pub Date : 2024-09-16 DOI:10.1088/1361-6455/ad76ef
Reinhold Blümel, Andrii Maksymov and Ming Li
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Abstract

Realistic fault-tolerant quantum computing at reasonable overhead requires two-qubit gates with the highest possible fidelity. Typically, an infidelity of is recommended in the literature. Focusing on the phase-sensitive architecture used in laboratories and by commercial companies to implement quantum computers, we show that even under noise-free, ideal conditions, neglecting the carrier term and linearizing the Lamb–Dicke term in the Hamiltonian used for control-pulse construction for generating Mølmer–Sørensen XX gates based on the Raman scheme are not justified if the goal is an infidelity target of . We obtain these results with a gate simulator code that, in addition to the computational space, explicitly takes the most relevant part of the phonon space into account. With the help of a Magnus expansion carried to the third order, keeping terms up to the fourth order in the Lamb–Dicke parameters, we identify the leading sources of coherent errors, which we show can be eliminated by adding a single linear equation to the phase-space closure conditions and subsequently adjusting the amplitude of the control pulse (calibration). This way, we obtain XX gates with infidelities .
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实现保真度为 0.9999 的 Mølmer Sørensen 闸门
要想以合理的开销实现容错量子计算,就需要尽可能高保真的双量子比特门。通常,文献中推荐的保真度为。我们重点研究了实验室和商业公司用于实现量子计算机的相敏架构,结果表明,即使在无噪声的理想条件下,如果目标是保真度达到......,那么忽略载流子项和线性化基于拉曼方案生成默尔默-索伦森 XX 门的控制脉冲构建所用哈密顿中的 Lamb-Dicke 项都是不合理的。 我们利用门模拟器代码获得了这些结果,该代码除了计算空间外,还明确考虑了声子空间中最相关的部分。在马格努斯三阶扩展的帮助下,我们确定了相干误差的主要来源,并在相空间闭合条件中添加了一个线性方程,随后调整了控制脉冲的振幅(校准),从而消除了相干误差。这样,我们就可以得到具有不可靠度的 XX 门。
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来源期刊
CiteScore
3.60
自引率
6.20%
发文量
182
审稿时长
2.8 months
期刊介绍: Published twice-monthly (24 issues per year), Journal of Physics B: Atomic, Molecular and Optical Physics covers the study of atoms, ions, molecules and clusters, and their structure and interactions with particles, photons or fields. The journal also publishes articles dealing with those aspects of spectroscopy, quantum optics and non-linear optics, laser physics, astrophysics, plasma physics, chemical physics, optical cooling and trapping and other investigations where the objects of study are the elementary atomic, ionic or molecular properties of processes.
期刊最新文献
X-ray circular dichroism measured by cross-polarization x-ray transient grating Toward a Mølmer Sørensen gate with .9999 fidelity Quantum states and spectra of small cylindrical and toroidal lattices Addendum: Multichannel quantum defect theory of strontium bound Rydberg states (2014 J. Phys. B: At. Mol. Opt. Phys. 47 155001) Absolute nuclear charge radius by Na-like spectral line separation in high-Z elements
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