7 papers
Logical Resource Estimation for Quantum State Preparation with Compilation
Diyi Liu, Hanyu Wang, Shuchen Zhu +6
Quantum state preparation is a fundamental primitive in quantum algorithms for encoding classical data into quantum amplitudes. We compare the cost of preparing general -qubit s…
Magic State Distillation using Asymptotically Good Codes on Qudits
Michael J. Cervia, Henry Lamm, Diyi Liu +2
Qudits offer the potential for low-overhead magic state distillation, although previous results for asymptotically good codes have required qudit dimension or code lengt…
Block encoding with low gate count for second-quantized Hamiltonians
Diyi Liu, Shuchen Zhu, Guang Hao Low +2
Efficient block encoding of many-body Hamiltonians is a central requirement for quantum algorithms in scientific computing, particularly in the early fault-tolerant era. In this wo…
High-order Magnus Expansion for Hamiltonian Simulation
Di Fang, Diyi Liu, Shuchen Zhu
Efficient simulation of quantum dynamics with time-dependent Hamiltonians is important not only for time-varying systems but also for time-independent Hamiltonians in the interacti…
Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence
Di Fang, Diyi Liu, Rahul Sarkar
Hamiltonian simulation becomes more challenging as the underlying unitary becomes more oscillatory. In such cases, an algorithm with commutator scaling and a weak dependence, such…
Synthesis of Single Qutrit Circuits from Clifford+R
Erik J. Gustafson, Henry Lamm, Diyi Liu +2
We present two deterministic algorithms to approximate single-qutrit gates. These algorithms utilize the Clifford + group to find the best approximation of diagonal ro…