Beyond Maximal Entanglement: Exact Resources for Multiparty Encrypted Quantum Cloning

arXiv:2609.28241 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Entanglement — 80× in this paper · explained in 4 episodes
• Decoupling — 14× in this paper · explained in 2 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Adjacency Matrix — 4× in this paper · explained in 1 episode
• Information Leakage — 4× in this paper · explained in 2 episodes
• Graph-State Encrypted-Cloning Certification — 3× in this paper
• Multipartite Entanglement — 3× in this paper · explained in 2 episodes
• Redundancy — 3× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Entanglement Entropy — 2× in this paper · explained in 2 episodes
• No-Go Theorem — 2× in this paper · explained in 2 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Anusandhan National Research Foundation — 1× in this paper
• Benchmark — 1× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Pruning — 1× in this paper · explained in 4 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Experimental demonstration that qubits can be cloned at will, if encrypted with a single-use decryption key
• Encrypted Cloning, Absolute Maximal Entanglement and Quantum Secret Sharing
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Full characterization of informative subsets in Quantum Encrypted Cloning
• Classification of informative subsets in quantum encrypted cloning on qudits
• Beyond the Canonical Protocol: Quantum Encrypted Cloning from Secret-Sharing Access Structures
• Encrypted Redundancy as a Diagnostic Resource: Relational Diagnosis in Quantum Encrypted Cloning
• Stabilizer Codes and Quantum Error Correction
• A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
• All bipartitions of arbitrary Dicke states
• Entanglement in the stabilizer formalism

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