Estimates for compression norms and additivity violation in quantum information
From MaRDI portal
Publication:5245873
DOI10.1142/S0129167X15500020zbMath1325.46068arXiv1408.3957MaRDI QIDQ5245873
Benoit Collins, Ping Zhong, Motohisa Fukuda
Publication date: 15 April 2015
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.3957
Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (5)
On the separability of unitarily invariant random quantum states: the unbalanced regime ⋮ Almost one bit violation for the additivity of the minimum output entropy ⋮ Additivity violation of the regularized minimum output entropy ⋮ Additivity violation of quantum channels via strong convergence to semi-circular and circular elements ⋮ Continuity and growth of free multiplicative convolution semigroups
Cites Work
- Unnamed Item
- Unnamed Item
- Revisiting additivity violation of quantum channels
- Gaussianization and eigenvalue statistics for random quantum channels. III
- Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems
- Hastings's additivity counterexample via Dvoretzky's theorem
- Eigenvalue and entropy statistics for products of conjugate random quantum channels
- Eigenvectors and eigenvalues in a random subspace of a tensor product
- Equivalence of additivity questions in quantum information theory
- Atoms and regularity for measures in a partially defined free convolution semigroup
- Comments on Hastings' additivity counterexamples
- Random quantum channels. I: Graphical calculus and the Bell state phenomenon
- Addition of freely independent random variables
- Superconvergence to the central limit and failure of the Cramér theorem for free random variables
- Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels
- On superconvergence of sums of free random variables
- Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
- Towards a state minimizing the output entropy of a tensor product of random quantum channels
- Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for allp> 2
- The capacity of the quantum channel with general signal states
- On the free convolution with a semi-circular distribution
- Minimal entropy of states emerging from noisy quantum channels
- Counterexample to an additivity conjecture for output purity of quantum channels
- On the multiplication of free N -tuples of noncommutative random variables
- LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS
- Nonadditivity of Rényi entropy and Dvoretzky’s theorem
- On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture
This page was built for publication: Estimates for compression norms and additivity violation in quantum information
