Noise-Induced Entanglement Transition in One-Dimensional Random Quantum Circuits

• 作者: Qi Zhang Guang-Ming Zhang
• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2022,（5）
• 所属期刊栏目: GENERAL
• 页码范围: 20-25
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/0256-307X/39/5/050302

摘要

A random quantum circuit is a minimally structured model to study entanglement dynamics of many-body quantum systems.We consider a one-dimensional quantum circuit with noisy Haar-random unitary gates using density matrix operator and tensor contraction methods.It is shown that the entanglement evolution of the random quantum circuits is properly characterized by the logarithmic entanglement negativity.By performing exact numerical calculations,we find that,as the physical error rate is decreased below a critical value pc ≈0.056,the logarithmic entanglement negativity changes from the area law to the volume law,giving rise to an entanglement transition.The critical exponent of the correlation length can be determined from the finite-size scaling analysis,revealing the universal dynamic property of the noisy intermediate-scale quantum devices.