COMPLEMENTARITY AND THE ALGEBRAIC STRUCTURE OF FOUR-LEVEL QUANTUM SYSTEMS
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Publication:3636003
DOI10.1142/S0219025709003598zbMath1191.47086arXiv0802.2391OpenAlexW2107932367MaRDI QIDQ3636003
Dénes Petz, András Szántó, Mihály Weiner
Publication date: 30 June 2009
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.2391
Applications of operator algebras to the sciences (47L90) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) General mathematical topics and methods in quantum theory (81Q99) Basic linear algebra (15A99)
Related Items (9)
An uncertainty principle for unimodular quantum groups ⋮ Efficient quantum tomography needs complementary and symmetric measurements ⋮ CONJUGATE PAIRS OF SUBFACTORS AND ENTROPY FOR AUTOMORPHISMS ⋮ Algebraic complementarity in quantum theory ⋮ On orthogonal systems of matrix algebras ⋮ Complementary decompositions and unextendible mutually unbiased bases ⋮ Approximate quasi-orthogonality of operator algebras and relative quantum privacy ⋮ A gap for the maximum number of mutually unbiased bases ⋮ VON NEUMANN ENTROPY AND RELATIVE POSITION BETWEEN SUBALGEBRAS
Cites Work
- Quasi-orthogonal subalgebras of matrix algebras
- Entropy for automorphisms of \(II_1\) von Neumann algebras
- Quasi-orthogonal subalgebras of \(4 \times 4\) matrices
- Complementarity in quantum systems
- The numerical range of a pair of projections
- UNITARY OPERATOR BASES
- A Concise Guide to Complex Hadamard Matrices
- Complementary reductions for two qubits
- ON ACCARDI'S NOTION OF COMPLEMENTARY OBSERVABLES
- Point estimation of states of finite quantum systems
- State tomography for two qubits using reduced densities
- Dynamical Entropy in Operator Algebras
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