Entanglement of random subspaces via the Hastings bound
From MaRDI portal
Publication:5249126
DOI10.1063/1.3309418zbMath1310.81028arXiv0907.5446OpenAlexW3101477329MaRDI QIDQ5249126
Christopher K. King, Motohisa Fukuda
Publication date: 29 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.5446
Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items
Almost one bit violation for the additivity of the minimum output entropy, Highly entangled, non-random subspaces of tensor products from quantum groups, Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems, Additivity violation of quantum channels via strong convergence to semi-circular and circular elements, The difference between two random mixed quantum states: exact and asymptotic spectral analysis, Revisiting additivity violation of quantum channels, Entanglement and the Temperley-Lieb category, Random positive operator valued measures, Asymptotically well-behaved input states do not violate additivity for conjugate pairs of random quantum channels, LOW ENTROPY OUTPUT STATES FOR PRODUCTS OF RANDOM UNITARY CHANNELS, Gaussianization and eigenvalue statistics for random quantum channels. III, Random matrix techniques in quantum information theory, Nonadditivity of Rényi entropy and Dvoretzky’s theorem, Towards a state minimizing the output entropy of a tensor product of random quantum channels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random quantum channels. II: Entanglement of random subspaces, Rényi entropy estimates and additivity problems
- Equivalence of additivity questions in quantum information theory
- Aspects of generic entanglement
- Comments on Hastings' additivity counterexamples
- Random quantum channels. I: Graphical calculus and the Bell state phenomenon
- Simplification of additivity conjecture in quantum information theory
- A continuity property of the entropy density for spin lattice systems
- Counterexamples to the maximal \(p\)-norm multiplicativity conjecture for all \(p>1\)
- Counterexamples to additivity of minimum output \(p\)-Rényi entropy for \(p\) close to 0
- Induced measures in the space of mixed quantum states
- Simplifying additivity problems using direct sum constructions
- The capacity of the quantum channel with general signal states
- On Duality between Quantum Maps and Quantum States
- Average entropy of a subsystem
- Minimal entropy of states emerging from noisy quantum channels
- ADDITIVITY CONJECTURE AND COVARIANT CHANNELS
- Counterexample to an additivity conjecture for output purity of quantum channels
- A sharp continuity estimate for the von Neumann entropy
- On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture
- On the additivity conjecture in quantum information theory