Minimal output entropy for the channels that add or remove a box of a Young diagram, and a Pauli principle for every permutation symmetry

arXiv:2609.33498 · math-ph, math.MP, quant-ph · Submitted 2026-09-27 · Read on arXiv

math-ph, math.MP, quant-ph

Submitted: 2026-09-27

Updated: 2026-10-06

Terminology

• Trace — 6× in this paper · explained in 2 episodes
• Entanglement — 5× in this paper · explained in 4 episodes
• Additivity — 2× in this paper · explained in 1 episode
• Generalization — 2× in this paper · explained in 13 episodes
• Elias — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Optimal physical approximations of pure-state cloning and transposition are complementary channels
• The generalized Wehrl entropy bound in quantitative form
• Gelfand-Tsetlin basis for partially transposed permutations, with applications to quantum information
• Optimal Quantum Purity Amplification
• Quantum Purity Amplification for Arbitrary Eigenstates and Multiple Outputs
• Classification and implementation of unitary-equivariant and permutation-invariant quantum channels
• The Wehrl-type entropy conjecture for symmetric $SU(N)$ coherent states: cases of equality and stability

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