Robust-fidelity high-dimensional controlled-controlled-SUM gate with qudits

IF 5.6 2区 物理与天体物理 Q1 OPTICS
Fang-Fang Du, Xin-Shan Du, Zhuo-Ya Bai, Qiang Zhu, Qiu-Lin Tan
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引用次数: 0

Abstract

High-dimensional (HD) quantum systems are capable of processing more complex information and performing a wider array of quantum operations, in contrast to low-dimensional (LD) quantum systems, thereby improving the speed and fault tolerance of quantum computing. In the study, we propose a deterministic qudit-encoded \(4\times 4\times 4\)-dimensional (64D) controlled-controlled-SUM (CCSUM) gate based on weak Kerr effect. The 64D CCSUM gate leverages the polarization and spatial degrees of freedom (DoFs) of three photons to encode 4D control and target qudits, thereby optimizing quantum resources and reducing costs. Moreover, the HD CCSUM gate functionality is implemented in a deterministic way by employing the X-Homodyne detector to measure coherent states, combined with related classical feed-forward operations. Through detailed analyses, the proposed HD CCSUM gate, under current technological conditions, exhibits robust fidelity and feasibility, offering a promising path toward the realization of HD quantum computing.

具有量子位的高维控控sum门的鲁棒保真度
与低维(LD)量子系统相比,高维(HD)量子系统能够处理更复杂的信息并执行更广泛的量子操作,从而提高量子计算的速度和容错性。在这项研究中,我们提出了一种基于弱克尔效应的确定性量子编码\(4\times 4\times 4\)维(64D)控控sum (CCSUM)门。64D CCSUM门利用三个光子的偏振和空间自由度(dof)编码4D控制和目标量子,从而优化量子资源,降低成本。此外,采用X-Homodyne探测器测量相干态,结合相关的经典前馈操作,以确定性的方式实现了HD CCSUM门功能。通过详细分析,在目前的技术条件下,所提出的高清CCSUM门具有良好的保真度和可行性,为实现高清量子计算提供了一条有希望的途径。
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来源期刊
EPJ Quantum Technology
EPJ Quantum Technology Physics and Astronomy-Atomic and Molecular Physics, and Optics
CiteScore
7.70
自引率
7.50%
发文量
28
审稿时长
71 days
期刊介绍: Driven by advances in technology and experimental capability, the last decade has seen the emergence of quantum technology: a new praxis for controlling the quantum world. It is now possible to engineer complex, multi-component systems that merge the once distinct fields of quantum optics and condensed matter physics. EPJ Quantum Technology covers theoretical and experimental advances in subjects including but not limited to the following: Quantum measurement, metrology and lithography Quantum complex systems, networks and cellular automata Quantum electromechanical systems Quantum optomechanical systems Quantum machines, engineering and nanorobotics Quantum control theory Quantum information, communication and computation Quantum thermodynamics Quantum metamaterials The effect of Casimir forces on micro- and nano-electromechanical systems Quantum biology Quantum sensing Hybrid quantum systems Quantum simulations.
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