Catalytic majorization and \(\ell_p\) norms

DOI10.1007/s00220-007-0382-4zbMath1140.81318arXivquant-ph/0702153OpenAlexW2081131889MaRDI QIDQ934593

Guillaume Aubrun, Ion Nechita

Publication date: 30 July 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0702153

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15)

Related Items

Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems ⋮ A generalized dominance ordering for 1/2-BPS states ⋮ Catalytic Coherence Transformation and Distillation for Special Mixed States ⋮ Resource convertibility and ordered commutative monoids ⋮ Catalysis in the trace class and weak trace class ideals ⋮ Extending a characterization of majorization to infinite dimensions ⋮ Stochastic domination for iterated convolutions and catalytic majorization ⋮ Convex majorization on discrete \(\ell^p\) spaces ⋮ Trumping and Power Majorization ⋮ Two constructive proofs on d-majorization and thermo-majorization

Cites Work

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• Stochastic domination for iterated convolutions and catalytic majorization
• Entanglement-Assisted Local Manipulation of Pure Quantum States
• The capacity of hybrid quantum memory
• Inequalities: theory of majorization and its applications

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