5 papers
Energy-Constrained Commutator Variance for Weyl Pairs
Hassan Nasreddine
Let be a representation of the Weyl relations on a separable Hilbert space and write . If the symplectic pairing of and is nonzer…
Entropy Moduli and Support-Sensitive BKM Coercivity for Rank-Deficient Non-Commutative Markov Semigroups
Hassan Nasreddine
We study entropy--coherence relations near rank-deficient support boundaries in finite-dimensional quantum systems. For block-diagonal reference states, we establish support-sensit…
Sharp Entropy Cost of Coherent Leakage Across a Block Decomposition
Hassan Nasreddine
Let and let be the two-block pinching of a density matrix. Write , , and . We study the block-…
Essential Duality and Quantitative Channel Composability in Algebraic Quantum Field Theory
Hassan Nasreddine
Let \(O\mapsto A(O)\) be a local Haag--Kastler net and let \(A^d(O)=A(O')'\) be its dual net. Normal unital completely positive maps on \(B(H)\) that fix \(A(O')\) pointwise are ex…
Entropy Stability under Block-Separable Constraints: Fixed-Weight Rank-Lattice Envelopes and Convexification
Hassan Nasreddine
For block-diagonal quantum states with prescribed block weights and dimensions, we determine the minimum von Neumann entropy excess at each trace-norm distance from the blockwise-p…