Product-state approximations to quantum states
From MaRDI portal
Publication:5962905
DOI10.1007/s00220-016-2575-1zbMath1333.81447arXiv1310.0017OpenAlexW2285737492WikidataQ59711909 ScholiaQ59711909MaRDI QIDQ5962905
Aram W. Harrow, Fernando G. S. L. Brandão
Publication date: 25 February 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.0017
Interacting particle systems in time-dependent statistical mechanics (82C22) Many-body theory; quantum Hall effect (81V70) Quantum coherence, entanglement, quantum correlations (81P40)
Related Items
Semidefinite programming hierarchies for constrained bilinear optimization, A fermionic de Finetti theorem, Unnamed Item, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distinguishing multi-partite states by local measurements
- Faithful squashed entanglement
- The power of quantum systems on a line
- Robustness of quantum Markov chains
- A simple proof of monogamy of entanglement
- Quantum fluctuations and rate of convergence towards mean field dynamics
- Finite exchangeable sequences
- Finitely correlated states on quantum spin chains
- An application of Bell's inequalities to a quantum state extension problem
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- One-and-a-half quantum de Finetti theorems
- Symmetric states of infinite tensor products of \(C^ *\)-algebras
- Some applications of hypercontractive inequalities in quantum information theory
- Colloquium: Area laws for the entanglement entropy
- Quantum entanglement
- Area Laws in Quantum Systems: Mutual Information and Correlations
- Entropy Scaling and Simulability by Matrix Product States
- Approximation Algorithms for QMA-Complete Problems
- Proof verification and the hardness of approximation problems
- A de Finetti representation for finite symmetric quantum states
- Expander graphs and their applications
- Probabilistic checking of proofs
- Locally normal symmetric states and an analogue of de Finetti's theorem
- A Parallel Repetition Theorem
- Unknown quantum states: The quantum de Finetti representation
- Squashed Entanglement for Multipartite States and Entanglement Measures Based on the Mixed Convex Roof
- The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
- The detectability lemma and quantum gap amplification
- The Complexity of the Local Hamiltonian Problem
- On the Complexity of Commuting Local Hamiltonians, and Tight Conditions for Topological Order in Such Systems
- Rounding Semidefinite Programming Hierarchies via Global Correlation
- Quantum de finetti theorems under local measurements with applications
- The PCP theorem by gap amplification
