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quant-ph2025
Provably Efficient Quantum Algorithms for Solving Nonlinear Differential Equations Using Multiple Bosonic Modes Coupled with Qubits
Yu Gan, Hirad Alipanah, Jinglei Cheng +7
Quantum computers have long been expected to efficiently solve complex classical differential equations. Most digital, fault-tolerant approaches use Carleman linearization to map n…
quant-ph2025
A parity obstruction to degree-optimal syndrome extraction in bivariate bicycle codes
Guangyi Li, Yu Gan, Zeguan Wu +3
Syndrome extraction for a CSS code has depth at least the Tanner-graph degree , attained by edge colouring if gate order is ignored; correctness adds a parity constraint. We pro…
quant-ph2025★ 6 cited
Quantum Dynamics Simulation of the Advection-Diffusion Equation
Hirad Alipanah, Feng Zhang, Yongxin Yao +6
The advection-diffusion equation is simulated on a superconducting quantum computer via several quantum algorithms. Three formulations are considered: (1) Trotterization, (2) varia…