6 citations · 10 across the 14 of their papers we have counts for
16 papers
Gate-Efficient Implementation of the Query-Optimal Time-Dependent Hamiltonian Simulation
Boyang Chen, Minbo Gao, Zhengfeng Ji +3
The query-optimal algorithm of [CGWZ26] for general time-dependent Hamiltonian simulation uses $$ q = O\left( αT + \frac{\log(1/\varepsilon)}{\log\left(e + \log(1/\varepsilon)/(αT)…
Time-Dependent Hamiltonian Simulation with Optimal Query Complexity
Boyang Chen, Minbo Gao, Xinzhao Wang +1
We give a query-optimal algorithm for simulating a general -qubit time-dependent Hamiltonian on , assuming that is Lipschitz continuous and . In…
Optimal T Counts under Sparsity: from QROM to State Preparation and Block Encoding
Tongyang Li, Fengning Ou, Xinzhao Wang +3
Many quantum algorithms require coherent access to classical data, often modeled by quantum read-only memory (QROM). We initiate the study of the count of sparse QROM,…
Trotter error compensation with polylogarithmic precision and nested-commutator scaling without ancillas
Xinzhao Wang, Shuo Zhou, Ziruo Wang +5
Product formulas are among the most practical approaches to Hamiltonian simulation, requiring no ancillary qubits and exhibiting error bounds governed by nested commutators rather…
Quantum-classical crossover in fault-tolerant quantum dynamics simulation
Jinzhao Sun, Bozhen Zhou, Jue Xu +28
While quantum computers promise to solve classically intractable problems, identifying the point at which fault-tolerant quantum computation outperforms the best classical algorith…
Quantum Multi-Level Estimation of Functionals of Discrete Distributions
Kean Chen, Minbo Gao, Tongyang Li +2
We propose a quantum multi-level estimation framework for a functional of a discrete distribution . We partition the values into logarith…
DQC1-completeness of normalized trace estimation for functions of log-local Hamiltonians
Zhengfeng Ji, Tongyang Li, Changpeng Shao +2
We study the computational complexity of estimating the normalized trace for a log-local Hamiltonian acting on qubits. This problem arises natural…
Lindbladian Simulation with Commutator Bounds
Xinzhao Wang, Shuo Zhou, Xiaoyang Wang +3
Trotter decomposition provides a simple approach to simulating open quantum systems by decomposing the Lindbladian into a sum of individual terms. While it is established that Trot…
Near-Optimal Quantum Algorithms for Computing (Coarse) Correlated Equilibria of General-Sum Games
Tongyang Li, Xinzhao Wang, Yexin Zhang
Computing Nash equilibria of zero-sum games in classical and quantum settings is extensively studied. For general-sum games, computing Nash equilibria is PPAD-hard and the computin…
Randomized Quantum Singular Value Transformation
Xinzhao Wang, Yuxin Zhang, Soumyabrata Hazra +3
We introduce the first randomized algorithms for Quantum Singular Value Transformation (QSVT), a unifying framework for many quantum algorithms. Standard implementations of QSVT re…
Instance-Optimal Matrix Multiplicative Weight Update and Its Quantum Applications
Weiyuan Gong, Tongyang Li, Xinzhao Wang +1
The Matrix Multiplicative Weight Update (MMWU) is a seminal online learning algorithm with numerous applications. Applied to the matrix version of the Learning from Expert Advice (…
Efficient Classical Sampling from Gaussian Boson Sampling Distributions on Unweighted Graphs
Yexin Zhang, Shuo Zhou, Xinzhao Wang +5
Gaussian Boson Sampling (GBS) is a promising candidate for demonstrating quantum computational advantage and can be applied to solving graph-related problems. In this work, we prop…
Quantum singular value transformation without block encodings: Near-optimal complexity with minimal ancilla
Shantanav Chakraborty, Soumyabrata Hazra, Tongyang Li +3
We develop new algorithms for Quantum Singular Value Transformation (QSVT), a unifying framework that encapsulates most known quantum algorithms and serves as the foundation for ne…
Quantum Non-Identical Mean Estimation: Efficient Algorithms and Fundamental Limits
Jiachen Hu, Tongyang Li, Xinzhao Wang +3
We systematically investigate quantum algorithms and lower bounds for mean estimation given query access to non-identically distributed samples. On the one hand, we give quantum me…
A Quantum Algorithm Framework for Discrete Probability Distributions with Applications to Rényi Entropy Estimation
Xinzhao Wang, Shengyu Zhang, Tongyang Li
Estimating statistical properties is fundamental in statistics and computer science. In this paper, we propose a unified quantum algorithm framework for estimating properties of di…
Adaptive Online Learning of Quantum States
Xinyi Chen, Elad Hazan, Tongyang Li +3
The problem of efficient quantum state learning, also called shadow tomography, aims to comprehend an unknown -dimensional quantum state through POVMs. Yet, these states are rar…