The authors introduce MuTA as a universal quantum neural network for MBQC and numerically demonstrate its ability to learn gates, classify quantum states, and process data under noise, including photonic hardware constraints.
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A graph-based bounded distance decoder corrects all errors up to a chosen weight in arbitrary stabilizer codes by representing stabilizers and syndromes as graphs and pruning the search space with a feed-forward structure.
Closed-form expressions and circuit compression enable efficient strong and weak simulation of noisy stabilizer circuits with non-deterministic measurements.
Localized Entanglement Purification (LEP) is a new family of protocols that purifies entanglement at the level of network regions by exploiting spatial noise asymmetries to reduce resource consumption for larger quantum systems.
The phase quantum walk replaces the shift operator with a conditional phase gate to enable distribution of arbitrary graph states with a universal local Z correction that works for any topology.
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
citing papers explorer
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Measurement-based quantum machine learning
The authors introduce MuTA as a universal quantum neural network for MBQC and numerically demonstrate its ability to learn gates, classify quantum states, and process data under noise, including photonic hardware constraints.
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A graph-aware bounded distance decoder for all stabilizer codes
A graph-based bounded distance decoder corrects all errors up to a chosen weight in arbitrary stabilizer codes by representing stabilizers and syndromes as graphs and pruning the search space with a feed-forward structure.
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Analytical and Compressed Simulation of Noisy Stabilizer Circuits
Closed-form expressions and circuit compression enable efficient strong and weak simulation of noisy stabilizer circuits with non-deterministic measurements.
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Localized Entanglement Purification
Localized Entanglement Purification (LEP) is a new family of protocols that purifies entanglement at the level of network regions by exploiting spatial noise asymmetries to reduce resource consumption for larger quantum systems.
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The Phase Quantum Walk: A Unified Framework for Graph State Distribution in Quantum Networks
The phase quantum walk replaces the shift operator with a conditional phase gate to enable distribution of arbitrary graph states with a universal local Z correction that works for any topology.
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Fault-tolerant syndrome extraction in [[n,1,3]] non-CSS code family generated using measurements on graph states
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
- Game-Theoretic Discovery of Quantum Error-Correcting Codes Through Nash Equilibria