Time: 10:00-11:30  (Beijing time)Wednesday, 2025/10/22 (October 22)

Location: Room 401, Building 7, UCAS Zhong-Guan-Cun Campus

Speaker: Wang Yixu (IASTU)


Abstract:

 Continuous-variable cat codes are encodings into a single photonic or phononic mode that offer a promising avenue for hardware-efficient fault-tolerant quantum computation. We construct multimode codes with similar linear constraints using any two integer matrices satisfying a CSS-like homological condition of a quantum rotor code. The framework includes codes with various finite- or infinite dimensional codespaces, and codes with finite or infinite Fock-state support. It encompasses various known code examples, also yielding codes from homological products, lattices, generalized coherent states, and algebraic varieties. Among our examples is a surface-like code that is not a concatenation of a known cat code with the qubit surface code. Codewords are coherent states projected into a Fock-state subspace defined by an integer matrix, and their overlaps are governed by Gelfand-Kapranov-Zelevinsky hypergeometric functions.


Link for Zoom meeting:

https://us06web.zoom.us/j/85715129440?pwd=QlJJRFBWWFRLMkxCVmcxZ1RKdlRxQT09