Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | 袁骁 研究员,北京大学 | Inviter: | | Title: | Resource theory of quantum channels | Time & Venue: | 2021.05.13 14:00-15:00 腾讯会议号:669 893 579 | Abstract: | Quantum resource theories have been widely studied to systematically characterize the nonclassicality of quantum systems. Most resource theories focus on quantum states and study their interconversions. Although quantum channels are generally used as a tool for state manipulation, such a manipulation capability can be naturally regarded as a generalized quantum resource, leading to an open research direction in the resource theories of quantum channels. Various resource-theoretic properties of the channels have been investigated, however, without treating the channels themselves as operational resources that can also be manipulated and converted. In this talk, we show a general resource framework for quantum channels, propose several resource monotones, and study the task of single-shot resource conversion. We give several examples of dynamical resources, including the purity, classical capacity, quantum capacity, non-uniformity, coherence, and entanglement of quantum channels. Our results are applicable to general dynamical resource theories with potential applications in quantum communication, fault-tolerant quantum computing, and quantum thermodynamics. Refs: Phys. Rev. Research 2, 012035(R); arXiv:2012.02781; arXiv:1907.02521 | | | |