Matrix permanent and quantum entanglement of permutation invariant states
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Publication:5245782
DOI10.1063/1.3464263zbMath1309.81039arXiv0905.0012OpenAlexW3105250785MaRDI QIDQ5245782
Simone Severini, Tzu-Chieh Wei
Publication date: 15 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0012
Determinants, permanents, traces, other special matrix functions (15A15) Quantum coherence, entanglement, quantum correlations (81P40)
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Cites Work
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- The complexity of computing the permanent
- An inequality of Hadamard type for permanents
- Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
- The solution of van der Waerden's problem for permanents
- An analysis of Monte Carlo algorithm for estimating the permanent
- Concentration of permanent estimators for certain large matrices.
- Quantum \(\alpha\)-entropy inequalities: independent condition for local realism?
- On the best rank-1 approximation to higher-order symmetric tensors
- Theory of monomer-dimer systems
- Monotones and invariants for multi-particle quantum states
- The statistics of dimers on a lattice
- A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
- Approximating the Permanent
- Classical deterministic complexity of Edmonds' Problem and quantum entanglement
- The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
- Theory of permanents 1982–1985
- Approximating the permanent: A simple approach
- Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor
- Theory of permanents 1978–1981
- On quantum field theory — I: explicit solution of Dyson’s equation in electrodynamics without use of feynman graphs
- A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
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