整理一下我个人比较感兴趣的工作。
首先是quantum simulation算法方向的。这部分感觉没有什么太新的内容，还是在原有的常用算法框架下研究某些特殊的模型，主要的进展是一些技术性的工作。
- Kaoru Mizuta and Keisuke Fujii. Optimal time-periodic Hamiltonian simulation
- Tomotaka Kuwahara, Tan Van Vu and Keiji Saito. Optimal light cone and digital quantum simulation of interacting bosons
- Adam Ehrenberg, Abhinav Deshpande, Christopher L. Baldwin, Dmitry A. Abanin and Alexey V. Gorshkov. Circuit complexity and classical simulation of Many-Body Localized Systems
一个与之相关的具体子领域是怎么把quantum simulation跟tomography和learning theory结合起来。一方面tomography有可能改进quantum simulation中的某些步骤，另一方面怎么从simulation的结果中提取信息也是个很自然的问题。
- Kianna Wan, William J. Huggins, Joonho Lee and Ryan Babbush. Matchgate Shadows for Fermionic Quantum Simulation
- Hsin-Yuan Huang, Yu Tong, Di Fang and Yuan Su. Learning many-body Hamiltonians with Heisenberg-limited scaling
- Hsin-Yuan Huang, Sitan Chen and John Preskill. Learning to predict arbitrary quantum processes
然后是近几年很火，个人也感觉比较重要的state tomography方向。
- Joran van Apeldoorn, Arjan Cornelissen, Andras Gilyen and Giacomo Nannicini. Quantum tomography using state-preparation unitaries
- Guang Hao Low. Classical shadows of fermions with particle number symmetry
- Sitan Chen, Brice Huang, Jerry Li, Allen Liu and Mark Sellke. Tight Bounds for State Tomography with Incoherent Measurements
对random state ensemble性质的研究。
- Joseph Iosue, Kunal Sharma, Michael Gullans and Victor Albert. Continuous-variable quantum state designs: theory and applications
- Prabhanjan Ananth, Aditya Gulati, Luowen Qian and Henry Yuen. Pseudorandom Quantum States, Revisited: New Properties, Variants, Constructions and Cryptographic Applications
- Srinivasan Arunachalam, Sergey Bravyi, Hao-Chung Cheng, Arkopal Dutt, Ching-Yi Lai and Ted Yoder. Learning beyond Cliffords: circuits and states
最后是关于entanglement entropy数学性质的研究。
- Nathaniel Johnston, Benjamin Lovitz and Aravindan Vijayaraghavan. A Complete Hierarchy of Linear Systems for Certifying Quantum Entanglement of Subspaces
- Isaac Kim, Michael Levin, Ting-Chun Lin, Daniel Ranard and Bowen Shi. Universal lower bound on topological entanglement entropy
- Nilin Abrahamsen, Ning Bao, Yuan Su, Yu Tong and Nathan Wiebe. Entanglement area law for 1D gauge theories and bosonic systems
编辑于 2022-12-31 16:55・IP 属地上海