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Matrix Product Evolution: A Method for Simulating Quantum Circuits Using Tensor Networks
Haruyuki Kawabe, Minoru Nagai, Tsuyoshi Okubo +1
Classical simulation of quantum circuits is an essential tool in quantum information science, but its applicability is constrained by the exponential growth of the Hilbert space an…
Parallel Hadamard Test
Soichiro Imamura, Synge Todo
The Hadamard test is a fundamental building block widely used in many quantum computing algorithms. It estimates the real or imaginary part of , wh…
Unbiased Hamiltonian Simulation by Reversing Trotter Error Dynamics
Keisuke Murota, Yuta Kikuchi, Enrico Rinaldi +2
Owing to their simplicity and low overhead, Suzuki-Trotter formulas remain the de facto Hamiltonian simulation methods on current quantum computing platforms. Systematic Trotter er…
Error-Mitigated Hamiltonian Simulation: Complexity Analysis and Optimization for Near-Term and Early-Fault-Tolerant Quantum Computers
Keisuke Murota, Synge Todo, Suguru Endo
Simulating real-time dynamics under a Hamiltonian is a central goal of quantum information science. While numerous Hamiltonian-simulation quantum algorithms have been proposed, the…
Accelerated spin-adapted ground state preparation with non-variational quantum algorithms
Takumi Kobori, Taichi Kosugi, Hirofumi Nishi +2
Various methods have been explored to prepare the spin-adapted ground state, the lowest energy state within the Hilbert space constrained by externally specified values of the tota…
Embedding of Tree Tensor Networks into Shallow Quantum Circuits
Shota Sugawara, Kazuki Inomata, Tsuyoshi Okubo +1
Variational Quantum Algorithms (VQAs) are being highlighted as key quantum algorithms for demonstrating quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) devices, which…