Entanglement Cost of Optimal Distributed Quantum State Purification

arXiv:2609.23441 · quant-ph · Submitted 2026-09-20 · Read on arXiv

quant-ph

Submitted: 2026-09-20

Updated: 2026-09-20

Code: https://github.com/jyzhau/State-Purification

Terminology

• Trace — 40× in this paper · explained in 2 episodes
• Entanglement — 39× in this paper · explained in 4 episodes
• Benchmark — 28× in this paper · explained in 2 episodes
• Fidelity — 22× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Admissibility — 2× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Fingerprinting — 1× in this paper · explained in 2 episodes
• Formal Verification — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Resource Constraints — 1× in this paper · explained in 3 episodes

Sources

• Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory
• Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information
• The mixed Schur transform: efficient quantum circuit and applications
• Efficient quantum circuits for port-based teleportation

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