Blind CQEC estimates the target state from noisy data to recover fidelity without a priori knowledge, with a proven Lipschitz bound explaining linear correlation in fidelities and 3.4x error reduction in H2 VQE.
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qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.
Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
Catalytic Quantum Error Correction recovers known target states from noisy copies with F > 0.96 using only eight copies by preserving coherent modes and applying a CPMG-Clifford-swap-test pipeline, bypassing magnitude thresholds of standard QEC.
Simulations across four organic qubit platforms show Petz recovery yields maximum fidelity gain at the entanglement-breaking threshold gamma_c, with Delta F max of 0.303 at dimension 64 and log2 d scaling.
citing papers explorer
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Blind Catalytic Quantum Error Correction: Target-State Estimation and Fidelity Recovery Without A Priori Knowledge
Blind CQEC estimates the target state from noisy data to recover fidelity without a priori knowledge, with a proven Lipschitz bound explaining linear correlation in fidelities and 3.4x error reduction in H2 VQE.
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qSHIFT: An Adaptive Sampling Protocol for Higher-Order Quantum Simulation
qSHIFT achieves L-independent gate complexity and O(t^{1+r}) error scaling in quantum simulation through adaptive sampling distributions updated by solving L^r classical linear equations per round.
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When is randomization advantageous in quantum simulation?
Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
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Catalytic Quantum Error Correction: Theory, Efficient Catalyst Preparation, and Numerical Benchmarks
Catalytic Quantum Error Correction recovers known target states from noisy copies with F > 0.96 using only eight copies by preserving coherent modes and applying a CPMG-Clifford-swap-test pipeline, bypassing magnitude thresholds of standard QEC.
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The $\gamma_c$-Peak: Covariant Recovery on Four Organic Qubit Platforms
Simulations across four organic qubit platforms show Petz recovery yields maximum fidelity gain at the entanglement-breaking threshold gamma_c, with Delta F max of 0.303 at dimension 64 and log2 d scaling.