9 citations · 19 across the 11 of their papers we have counts for
14 papers
-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…
Driven-Dissipative Ground State Preparation: Mixing Time and Randomness
Paul Cazeaux, Marius Junge, Diyi Liu
Dissipative protocols offer a route to ground state preparation that does not require a large initial overlap with the ground state. To move beyond time independent Lindbladians an…
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…
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…
Learning the local density of states of a bilayer moiré material in one dimension
Diyi Liu, Alexander B. Watson, Michael Hott +2
Recent work of three of the authors showed that the operator which maps the local density of states of a one-dimensional untwisted bilayer material to the local density of states o…
An Efficient Quantum Circuit for Block Encoding a Pairing Hamiltonian
Diyi Liu, Weijie Du, Lin Lin +2
We present an efficient quantum circuit for block encoding pairing Hamiltonian often studied in nuclear physics. Our block encoding scheme does not require mapping the creation and…
Modeling of electronic dynamics in twisted bilayer graphene
Tianyu Kong, Diyi Liu, Mitchell Luskin +1
We consider the problem of numerically computing the quantum dynamics of an electron in twisted bilayer graphene. The challenge is that atomic-scale models of the dynamics are aper…
Seeing moiré: convolutional network learning applied to twistronics
Diyi Liu, Mitchell Luskin, Stephen Carr
Moiré patterns made of two-dimensional (2D) materials represent highly tunable electronic Hamiltonians, allowing a wide range of quantum phases to emerge in a single material. Curr…
Computing Free Energies with Fluctuation Relations on Quantum Computers
Lindsay Bassman, Katherine Klymko, Diyi Liu +2
Fluctuation relations allow for the computation of equilibrium properties, like free energy, from an ensemble of non-equilibrium dynamics simulations. Computing them for quantum sy…