9 papers
Gaussian time-translation covariant operations: structure, implementation, and thermodynamics
Xueyuan Hu, Lea Lautenbacher, Giovanni Spaventa +3
Time-translation symmetry strongly constrains physical dynamics, yet systematic characterization for continuous-variable systems lags behind its discrete-variable counterpart. We c…
Quantum Qomrades: Catalysts in Resource Theories and Memories in Dynamic Programming
Jeongrak Son
Quantum information theory explores the limits of manipulating quantum states. While auxiliary systems often enhance information processing, a systematic explanation for their powe…
Grover's algorithm is an approximation of imaginary-time evolution
Yudai Suzuki, Marek Gluza, Jeongrak Son +3
We reveal the power of Grover's algorithm from thermodynamic and geometric perspectives by showing that it is a product formula approximation of imaginary-time evolution (ITE), a R…
Catalytic channels are the only noise-robust catalytic processes
Jeongrak Son, Ray Ganardi, Shintaro Minagawa +3
Catalysis refers to the possibility of enabling otherwise inaccessible quantum state transitions by supplying an auxiliary system, provided that the auxiliary is returned to its in…
Double-bracket algorithm for quantum signal processing without post-selection
Yudai Suzuki, Bi Hong Tiang, Jeongrak Son +3
Quantum signal processing (QSP), a framework for implementing matrix-valued polynomials, is a fundamental primitive in various quantum algorithms. Despite its versatility, a potent…
Double-bracket quantum algorithms for high-fidelity ground state preparation
Matteo Robbiati, Edoardo Pedicillo, Andrea Pasquale +13
Ground state preparation is a central application for quantum computers but remains challenging in practice. In this work, we quantitatively investigate the performance and gate co…