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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

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…

quant-ph2026

A Compilation Framework for Quantum Simulation of Non-unitary Dynamics

Qifan Huang, Minbo Gao, Li Zhou +1

Most quantum compilers assume programs are reversible unitary circuits. This fits closed-system algorithms, but not open-system simulation, where the natural program objects are qu…

quant-ph2025

Complete Relational Logic for Infinite-Dimensional Quantum Programs with Unbounded Assertions

Gilles Barthe, Minbo Gao, Jam Kabeer Ali Khan +7

We present sound and complete relational program logics for infinite-dimensional quantum and classical-quantum programs. The logics model assertions as self-adjoint unbounded linea…