Hamiltonian identifiability assisted by single-probe measurement
Akira Sone, Paola Cappellaro
备注：
v2: 17 pages, fixed typos, added references, appendixes, and robustness analyses (2 figures). Thanks to referees and editors for helpful comments. Accepted by Physical Review A
We study the Hamiltonian identifiability of a many-body spin-1/2 system assisted by the measure- ment on a single quantum probe based on the eigensystem realization algorithm (ERA) approach employed in Phys. Rev. Lett. 113, 080401 (2014). We demonstrate a potential application of Gröbner basis to the identifiability test of the Hamiltonian, and provide the necessary experimental resources, such as the lower bound in the number of the required measurement points, the upper bound in total required evolution time, and thus the total measurement time. Focusing on the examples of the identifiability in the spin chain model with nearest-neighboring interaction, we classify the spin-chain Hamiltonian based on its identifiability, and provide the control protocols to engineer the nonidentifiable Hamiltonian to be an identifiable Hamiltonian.
Identifiability and Estimation Precision in Quantum Network Tomography with Imperfect Bell-State Measurements
CONNECT Research Centre, School of Engineering, Trinity College Dublin（都柏林三一学院工程学院连接研究中心）；Manning College of Information and Computer Science, University of Massachusetts, Amherst（马萨诸塞大学阿默斯特分校曼宁信息与计算机科学学院）；Department of Computing, School of Science, South East Technological University（东南理工大学理学院计算系）
Identifiability in Quantum State, Process, and Network Tomography
CONNECT Research Centre, School of Engineering, Trinity College Dublin（都柏林三一学院工程学院连接研究中心）；Manning College of Information and Computer Science, University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校曼宁信息与计算机科学学院）；Department of Computing, School of Science, South East Technological University（东南理工大学理学院计算系）
Quantum Hamiltonian Identifiability via a Similarity Transformation Approach and Beyond
University of New South Wales（新南威尔士大学）；Australian Research Council（澳大利亚研究理事会）；Massachusetts Institute of Technology（麻省理工学院）；Australian National University（澳大利亚国立大学）
Entanglement-Assisted Timing Optimization for Discriminating Amplitude-Damping Dynamics
CNR-Istituto di Fotonica e Nanotecnologie（意大利国家研究委员会光子学与纳米技术研究所）；Università di Pavia（帕维亚大学）；University of Camerino（卡梅里诺大学）；INFN–Sezione Perugia（意大利国家核物理研究所佩鲁贾分部）
An Entanglement-Assisted Stabilizer Framework for Distributed Sensing of Local Phases
School of Electrical Engineering, Korea University（韩国大学电气工程学院）；Quantum Network Research Center, Korea Institute of Science and Technology Information（韩国科学技术信息研究院量子网络研究中心）
Measurement errors in entanglement-assisted electron microscopy
未染色生物标本的冷冻电子显微镜的主要分辨率限制因素是用于探测标本结构的电子的辐射损伤。为了解决这个问题，最近提出了一种电子显微镜方案，该方案采用量子纠缠来实现超出标准量子极限的相位测量精度{[}Phys. Rev. A \textbf{85}，043810{]}。在这里，我们确定和详细检查测量误差，将出现在该计划。重点是考虑非弹性散射事件，因为在一般情况下，辅助量子纠缠已知是非常脆弱的有损过程。我们发现，由于弹性和非弹性散射过程的误差量是可以接受的，只要电子束的几何形状是适当的设计。
