Superselection rules (SSRs), linked to the conservation of physical quantities such as parity or particle number, impose constraints on allowable physical operations in fermionic systems. This affects the amount of extractable mode entanglement possessed in a given state and its manipulation by the so-called entanglement-free operations. Here, we present a majorization-based algorithm for the mixed state transformations of bipartite mode entanglement, where the allowed operations (i.e., resource non-generating operations), that is, local operations and classical communication, are restricted by local SSRs. We then focus on the local parity SSR and investigate the possibility to relax the constraints imposed by it through a catalyst. In particular, we show that an ancillary mode system can catalyze the change in local parity. Finally, we discuss the application of our methodology to various problems in different fields. Accordingly, we propose that it may shed new light on the activation of orbital entanglement in chemical molecules and the manipulation of multipartite entanglement or quantum discord in distinguishable quantum systems.
Comment on 'Reasonable fermionic quantum information theories require relativity'
在[N. Friis，New J. Phys. 18，033014（2016）]考虑了费米子的非相对论描述，特别是奇偶超选择规则在纠缠表征中的作用。一个参数的基础上的自旋统计连接的奇偶超选择规则的物理动机。由于自旋统计联系是在相对论量子力学的背景下推导出来的，因此有人认为，包含宇称超选择规则的动机是洛伦兹不变性。在此基础上进一步论证了费米子量子信息理论与狭义相对论在概念上是不可分割的。在这篇评论中，给出了一个不同的、众所周知的宇称超选择规则的动机，它不依赖于相对论性量子力学的论点，而是使用了物理定律对不同的观察者是相同的假设和无信号原理。
Learning Local Fermionic Lindbladians under Parity Superselection
University of Cambridge（剑桥大学）；University of Tübingen（蒂宾根大学）；University of Copenhagen（哥本哈根大学）；Inria, Télécom Paris–LTCI, Institut Polytechnique de Paris（法国国家信息与自动化研究所，巴黎高等电信学院-通信与图像处理实验室，巴黎理工学院）
Comment on "Fermionic entanglement ambiguity in noninertial frames"
在这篇评论中，我们表明，在Unruh效应的背景下，在Physical Review A 83，062323（2011）中计算的费米子场的熵量的模糊性与反对易场的性质无关，如Physical Review A 83，062323（2011）中所述，而是错误的数学操作，没有考虑到一个基本的超选择规则的量子场论。
Perimeter Institute for Theoretical Physics（Perimeter理论物理研究所）；International Centre for Theory of Quantum Technologies, Uniwersytet Gdański（格但斯克大学量子技术理论国际中心）；Theoretical Sciences Visiting Program, Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学理论科学访问项目）；Basic Research Community for Physics e.V.（基础物理研究社区协会）
Perimeter Institute for Theoretical Physics（佩里尔研究所）；Institute for Quantum Computing, University of Waterloo（滑铁卢大学量子计算研究所）；Dahlem Center for Complex Quantum Systems, Freie Universität Berlin（柏林自由大学达勒姆复杂量子系统中心）；Department of Applied Mathematics, University of Waterloo（滑铁卢大学应用数学系）；Department of Combinatorics and Optimization, University of Waterloo（滑铁卢大学组合优化系）
