Sampling Noise and Optimized Measurement Distribution in Imaginary-Time Quantum Dynamics Simulations

arXiv:2605.20378 · quant-ph, cond-mat.str-el · Submitted 2026-05-19 · Read on arXiv

quant-ph, cond-mat.str-el

Submitted: 2026-05-19

Updated: 2026-05-19

Terminology

• Regularization — 20× in this paper · explained in 3 episodes
• Fidelity — 9× in this paper · explained in 2 episodes
• Quantum Circuits — 9× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Adaptive Algorithm — 2× in this paper · explained in 1 episode
• Area Law — 2× in this paper · explained in 1 episode
• Entanglement — 2× in this paper · explained in 3 episodes
• Entanglement Entropy — 2× in this paper · explained in 2 episodes
• Parameter Shift Rule — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantum Geometric Tensor (QGT) — 1× in this paper · explained in 2 episodes
• Variational Quantum Eigensolver (VQE) — 1× in this paper · explained in 5 episodes

Sources

• An efficient quantum algorithm for the time evolution of parameterized circuits
• Variational Hamiltonian simulation for translational invariant systems via classical pre-processing
• Operator-Projected Variational Quantum Imaginary Time Evolution
• Long-time simulations with high fidelity on quantum hardware
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation
• Quantum time dynamics of 1D-Heisenberg models employing the Yang-Baxter equation for circuit compression
• Operator Sampling for Shot-frugal Optimization in Variational Algorithms
• Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

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