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.
Regev, An efficient quantum factoring algorithm, arXiv preprint arXiv:2308.06572v3 (2024),https:// arxiv.org/abs/2308.06572
4 Pith papers cite this work. Polarity classification is still indexing.
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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.
Presents a concrete quantum oracle for bilinear Diophantine equations enabling factoring of n-bit biprimes with 2n-5 qubits or fewer and near-100% simulated success for numbers up to 35 bits.
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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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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Efficient Quantum Oracle for Solving Bilinear Diophantine Equations on Digital Quantum Computers
Presents a concrete quantum oracle for bilinear Diophantine equations enabling factoring of n-bit biprimes with 2n-5 qubits or fewer and near-100% simulated success for numbers up to 35 bits.
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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.