Measurement-Based Uncomputation from an Error Correction Perspective

arXiv:2609.31605 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Post-Selection — 27× in this paper · explained in 2 episodes
• Ancilla Qubits — 12× in this paper · explained in 1 episode
• Sample Complexity — 6× in this paper · explained in 15 episodes
• Sparsity — 6× in this paper · explained in 4 episodes
• Robustness — 4× in this paper · explained in 5 episodes
• Fidelity — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Adaptation — 2× in this paper · explained in 1 episode
• Benchmark — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Quantum Phase Estimation (QPE) — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Ancillary Qubits — 1× in this paper · explained in 1 episode
• Engineering and Physical Sciences Research Council — 1× in this paper
• Hamming Distance — 1× in this paper · explained in 2 episodes
• Resource Constraints — 1× in this paper · explained in 3 episodes

Sources

• Demonstration of logical qubits and repeated error correction with better-than-physical error rates
• Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution
• Feedforward Quantum Singular Value Transformation
• Low-depth amplitude estimation via statistical eigengap estimation
• Optimization of Quantum Read-Only Memory Circuits
• Windowed quantum arithmetic
• Quantum measurements and the Abelian Stabilizer Problem
• Low-depth Gaussian State Energy Estimation

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• 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