9 citations · 17 across the 6 of their papers we have counts for
6 papers
Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation
Yonah Borns-Weil, Di Fang, Jiaqi Zhang
Motivated by various applications, unbounded Hamiltonian simulation has recently garnered great attention. Quantum Magnus algorithms, designed to achieve commutator scaling for tim…
A Quantum Algorithm for Functions of Multiple Commuting Hermitian Matrices
Yonah Borns-Weil, Tahsin Saffat, Zachary Stier
Quantum signal processing allows for quantum eigenvalue transformation with Hermitian matrices, in which each eigenspace component of an input vector gets transformed according to…
Particle Trajectories for Quantum Maps
Yonah Borns-Weil, Izak Oltman
We study the trajectories of a semiclassical quantum particle under repeated indirect measurement by Kraus operators, in the setting of the quantized torus. In between measurements…
Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
Yonah Borns-Weil, Di Fang
Known as no fast-forwarding theorem in quantum computing, the simulation time for the Hamiltonian evolution needs to be in the worst case, which essentially states tha…
The Spectrum of an Almost Maximally Open Quantized Cat Map
Yonah Borns-Weil
We consider eigenvalues of a quantized cat map (i.e. hyperbolic symplectic integer matrix), cut off in phase space to include a fixed point as its only periodic orbit on the torus.…
Dynamical Zeta Functions in the Nonorientable Case
Yonah Borns-Weil, Shu Shen
We use a simple argument to extend the microlocal proofs of meromorphicity of dynamical zeta functions to the nonorientable case. In the special case of geodesic flow on a connecte…