Single-copy entanglement purification: a robust approach for diverse noise sources

IF 5.8 2区 物理与天体物理 Q1 OPTICS
Sajede Harraz, Shuang Cong
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引用次数: 0

Abstract

Effectively managing various types of decoherence is crucial for leveraging entanglement in quantum information processing and quantum computing. In this paper, we propose purification circuits that deterministically produce a maximally entangled state from a single copy of an imperfect entangled pair affected by various noise sources. Unlike conventional methods, our approach eliminates the need for multiple copies of the entangled state, pre-purification operations, and imposes no restrictions on the initial entanglement fidelity of the imperfect pair. Our method utilizes ancilla qubits and CNOT gates to address errors from Pauli X and Z (bit flip and phase flip), as well as combinations of these errors that create general mixed entangled states and amplitude-damped entangled states. Our analysis shows that noisy CNOT gates impact fidelity minimally, with only the final two gates being critical. We validate our approach through mathematical analysis and practical implementation in Qiskit, demonstrating its effectiveness and robustness.

有效管理各种类型的退相干对于在量子信息处理和量子计算中利用纠缠至关重要。在本文中,我们提出了净化电路,它能从受各种噪声源影响的不完全纠缠对的单个副本中确定性地产生最大纠缠态。与传统方法不同,我们的方法不需要纠缠态的多个副本和净化前操作,对不完全纠缠对的初始纠缠保真度也没有限制。我们的方法利用辅助量子比特和 CNOT 门来解决保利 X 和 Z 误差(位翻转和相位翻转),以及产生一般混合纠缠态和振幅阻尼纠缠态的这些误差的组合。我们的分析表明,噪声 CNOT 门对保真度的影响很小,只有最后两个门是关键。我们通过数学分析和在 Qiskit 中的实际应用验证了我们的方法,证明了它的有效性和鲁棒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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