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20242026
most citedQuantum singular value transformation without block encodings: Near-optimal complexity with minimal ancilla

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quant-ph2026

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)…

quant-ph2026

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…

quant-ph2026

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, in which…

quant-ph2026

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…

quant-ph2026

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…

quant-ph2026

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…