Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.
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BASS adapts qubit bases via single-qubit RDM eigenbases to cluster amplitudes for truncation, yielding up to order-of-magnitude state-overlap gains versus fixed-basis sparse simulation on disordered Ising circuits.
Clifft introduces a factored-state simulator that shifts exponential cost to a dynamic active subspace, generalizing Stim's compile-once model to near-Clifford circuits and enabling the first exact end-to-end simulations of magic-state cultivation over hundreds of billions of shots.
A classical polynomial-time sampler exists for the output distribution of amplitude-damped IQP circuits with logarithmic depth and arbitrary l-local diagonal gates.
A compact neural statebank based on autoregressive Transformers simulates 34-qubit quantum circuits with ~0.01 infidelity using 0.3 million parameters, outperforming tested approximate simulators.
For unitaries from local or pairwise interactions, depolarizing noise above a critical strength makes open quantum spin chain dynamics exactly classically simulable by halting growth in the negative Markov chain representation.
Spectral bounds relate graph Laplacian eigenvalues to the congestion of binary-tree embeddings, with an efficient spectral-ordering algorithm and applications to tensor-network contraction complexity.
QADR decomposes n-qubit VQCs into local sub-circuits to reduce memory from O(2^n) to O(n * 2^{2d+1}) and mitigate barren plateaus, scaling to 2000 features on MNIST and wind turbine diagnostics while matching classical models.
Local refinement after cotengra yields a bond-dimension-dependent cost advantage on Sycamore topologies that is absent on random or QAOA graphs.
SparQSim is a sparse-state quantum simulator in C++ supporting QRAM that outperforms dense Schrödinger simulators on high-sparsity benchmark circuits and produces consistent results for quantum linear system solvers.
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SparQSim: Simulating Scalable Quantum Algorithms via Sparse Quantum State Representations
SparQSim is a sparse-state quantum simulator in C++ supporting QRAM that outperforms dense Schrödinger simulators on high-sparsity benchmark circuits and produces consistent results for quantum linear system solvers.