1 citations · 2 across the 6 of their papers we have counts for
8 papers · 1 filter
-efficient unitary synthesis via block-sparse Hamiltonian simulation
Diyi Liu, Shuchen Zhu, Wibe Albert de Jong +3
We construct Clifford+ circuits implementing arbitrary -qubit unitaries with worst-case -count at constant operator-norm error, where , imp…
Exponentially Compressed and Garbage-Free Alias Sampling for Polynomial State Preparation
Diyi Liu, Hanyu Wang, Shuchen Zhu +4
Coherent alias sampling implement an important subroutine for block encoding and qubitization based quantum simulation using quantum lookup table. Related constructions exploit dat…
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…
Low-gate-count block encodings for second-quantized fermionic 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…
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…