Squaring parametrization of constrained and unconstrained sets of quantum states

DOI10.1088/1751-8121/aaa32dzbMath1386.81021arXiv1704.03861OpenAlexW2606060453MaRDI QIDQ5373946

E. Shpagina, Oleg V. Lychkovskiy, N. B. Il'in, F. G. Uskov

Publication date: 6 April 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03861

zbMATH Keywords

density matrixqubitWerner statesqutritmixed statesparametrization of quantum statesgeneralized Bloch vector

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Positive linear operators and order-bounded operators (47B65) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries ⋮ Minimal time generation of density matrices for a two-level quantum system driven by coherent and incoherent controls ⋮ Maximization of the overlap between density matrices for a two-level open quantum system driven by coherent and incoherent controls ⋮ On a complete basis in the space of rotationally invariant operators of \(N\) quantum spins \(1/2\) ⋮ Parametrization of quantum states based on the quantum state discrimination problem

Cites Work

• Quantum systems, channels, information. A mathematical introduction.
• The Bloch vector for \(N\)-level systems
• Induced measures in the space of mixed quantum states
• Symmetric coupling of four spin-1/2 systems
• Parametrizations of density matrices
• Separability properties of tripartite states with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi><mml:mo>⊗</mml:mo><mml:mi>U</mml:mi></mml:math>symmetry
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Geometry of Quantum States

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