Quantum interaction can superactivate cheating under parallel repetition

arXiv:2609.31223 · quant-ph, cs.CC · Submitted 2026-09-25 · Read on arXiv

quant-ph, cs.CC

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Entanglement — 47× in this paper · explained in 4 episodes
• Verifier — 20× in this paper · explained in 2 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Fingerprinting — 2× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Quantum hedging in two-round prover-verifier interactions
• Super-Activation of Zero-Error Capacity of Noisy Quantum Channels
• Achieving perfect completeness for one- and two-message quantum proof systems
• The status of the quantum PCP conjecture (games version)
• Onset of superactivation of quantum capacity

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• 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