Qubit-efficient entanglement spectroscopy using qubit resets
Justin Yirka, Yigit Subasi
备注：
16 pages, 13 figures. Expanded introduction and conclusion and other minor corrections (thank you to anonymous referees). Reformatted with the Quantum LaTeX class
One strategy to fit larger problems on NISQ devices is to exploit a tradeoff between circuit width and circuit depth. Unfortunately, this tradeoff still limits the size of tractable problems since the increased depth is often not realizable before noise dominates. Here, we develop qubit-efficient quantum algorithms for entanglement spectroscopy which avoid this tradeoff. In particular, we develop algorithms for computing the trace of the n-th power of the density operator of a quantum system, $Tr(ρ^n)$, (related to the Rényi entropy of order n) that use fewer qubits than any previous efficient algorithm while achieving similar performance in the presence of noise, thus enabling spectroscopy of larger quantum systems on NISQ devices. Our algorithms, which require a number of qubits independent of n, are variants of previous algorithms with width proportional to n, an asymptotic difference. The crucial ingredient in these new algorithms is the ability to measure and reinitialize subsets of qubits in the course of the computation, allowing us to reuse qubits and increase the circuit depth without suffering the usual noisy consequences. We also introduce the notion of effective circuit depth as a generalization of standard circuit depth suitable for circuits with qubit resets. This tool helps explain the noise-resilience of our qubit-efficient algorithms and should aid in designing future algorithms. We perform numerical simulations to compare our algorithms to the original variants and show they perform similarly when subjected to noise. Additionally, we experimentally implement one of our qubit-efficient algorithms on the Honeywell System Model H0, estimating $Tr(ρ^n)$ for larger n than possible with previous algorithms.
Broadband Purcell Filter for Fast Superconducting Qubit Reset and Readout
Key Laboratory of Atomic and Subatomic Structure and Quantum Control (South China Normal University), Ministry of Education, Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, School of Physics, South China Normal University（华南师范大学物理学院）；International Quantum Academy（国际量子学院）；School of Emerging Technology, University of Science and Technology of China（中国科学技术大学前沿技术学院）；Southern University of Science and Technology（南方科技大学）；Institute of Micro and Nano Optoelectronics, Shenzhen University（深圳大学微纳光电子研究院）
Flexible Readout and Unconditional Reset for Superconducting Multi-Qubit Processors with Tunable Purcell Filters
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所凝聚态物理北京国家实验室）；School of Physics, University of Chinese Academy of Sciences（中国科学院大学物理学院）
Approaching the Landauer Bound without Slowing Down
Xiamen University（厦门大学）；Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）；Zhejiang University of Science and Technology（浙江科技学院）
Multimode Purcell Filter for Superconducting-Qubit Reset and Readout with Intrinsic Purcell Protection
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所凝聚态物理北京国家实验室）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）
Qubit Reuse Beyond Reorder and Reset: Optimizing Quantum Circuits by Fully Utilizing the Potential of Dynamic Circuits
Technical University of Munich（慕尼黑工业大学）；Munich Quantum Software Company GmbH（慕尼黑量子软件有限公司）；Software Competence Center Hagenberg GmbH (SCCH)（哈根贝格软件能力中心有限公司）
Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting
School of Physical Sciences, Indian Association for the Cultivation of Science（印度科学培养协会物理科学学院）；International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（塔塔基础研究所国际理论科学中心）；LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay（巴黎南大学、萨克雷大学，法国国家科学研究中心理论与物质物理实验室）
Quantum Acoustics with Superconducting Qubits in the Multimode Transition-Coupling Regime
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所凝聚态物理国家实验室）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；Department of Automation, Tsinghua University（清华大学自动化系）；Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Key Laboratory for Matter Microstructure and Function of Hunan Province, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University（湖南师范大学物理与协同创新中心量子效应及应用）；Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）
