6 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…
Unified Architecture for Quantum Lookup Tables
Shuchen Zhu, Aarthi Sundaram, Guang Hao Low
Quantum access to arbitrary classical data encoded in unitary black-box oracles underlies interesting data-intensive quantum algorithms, such as machine learning or electronic stru…
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…
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…