5 papers
Letting the tiger out of its cage: bosonic coding without concatenation
Yijia Xu, Yixu Wang, Christophe Vuillot +1
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. Protect…
Tessellation codes: encoded quantum gates by geometric rotation
Yixu Wang, Yijia Xu, Zi-Wen Liu
We utilize the symmetry groups of regular tessellations on two-dimensional surfaces of different constant curvatures, including spheres, Euclidean planes and hyperbolic planes, to…
Quantum Lego and XP Stabilizer Codes
Ruohan Shen, Yixu Wang, ChunJun Cao
We apply the recent graphical framework of "Quantum Lego" to XP stabilizer codes where the stabilizer group is generally non-Abelian. We show that the idea of operator matching con…
State Engineering of Unsteerable Hamiltonians
Yi-Xuan Wang, Yuval Gefen
Lindbladian dynamics of open systems may be employed to steer a many-body system towards a non-trivial ground state of a local Hamiltonian. Such protocols provide us with tunable p…
Clifford operations and homological codes for rotors and oscillators
Yijia Xu, Yixu Wang, Victor V. Albert
We develop quantum information processing primitives for the planar rotor, the state space of a particle on a circle. By interpreting rotor wavefunctions as periodically identified…