Classical algorithms for estimating expectation values in linear-optical circuits

arXiv:2502.12882 · quant-ph · Submitted 2025-02-18 · Read on arXiv

quant-ph

Submitted: 2025-02-18

Updated: 2025-11-14

Comments: 8+12 pages, 1 figure

Journal ref: Phys. Rev. Lett. 137, 120602 (2026)

DOI: 10.1103/bl9r-2gyb

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Quantum Circuits — 11× in this paper · explained in 2 episodes
• Sparsity — 6× in this paper · explained in 4 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Verification — 4× in this paper · explained in 2 episodes
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Parameter Shift Rule — 2× in this paper · explained in 2 episodes
• Post-Selection — 2× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Wigner function — 1× in this paper · explained in 2 episodes

Sources

• On classical simulation algorithms for noisy Boson Sampling
• Experimental quantum-enhanced kernels on a photonic processor
• Simulating quantum circuit expectation values by Clifford perturbation theory
• Classically estimating observables of noiseless quantum circuits
• A Photonic Parameter-shift Rule: Enabling Gradient Computation for Photonic Quantum Computers
• Variational approach to photonic quantum circuits via the parameter shift rule
• Exact gradients for linear optics with single photons
• Simulating Quantum Circuits with Sparse Output Distributions
• How Much Structure Is Needed for Huge Quantum Speedups?
• On verifiable quantum advantage with peaked circuit sampling
• Experimental validation of boson sampling using detector binning
• Gaussian states in continuous variable quantum information
• Boson sampling enhanced quantum chemistry
• Generalizing and Derandomizing Gurvits's Approximation Algorithm for the Permanent
• Classical simulation complexity of extended Clifford circuits
• Binary Matroids and Quantum Probability Distributions

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity