Fixed points of quantum operations

DOI10.1063/1.1519669zbMath1060.81009OpenAlexW1969046233MaRDI QIDQ4832829

Alvaro Arias, Stanley P. Gudder, Aurelian Gheondea

Publication date: 14 December 2004

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

Full work available at URL: https://semanticscholar.org/paper/6e9ee38a9db7b3771a5755508b730168bdd8de69

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (44)

A structure for quantum measurements ⋮ Symmetries versus conservation laws in dynamical quantum systems: a unifying approach through propagation of fixed points ⋮ Unital quantum channels - convex structure and revivals of Birkhoff's theorem ⋮ A note on fixed points of general quantum operations ⋮ A Noether theorem for stochastic operators on Schatten classes ⋮ Generalized Lüders operation for normal states on a von Neumann algebra ⋮ Some properties of generalized quantum operations ⋮ Unified \((r, s)\)-entropies of partitions on sequential effect algebras ⋮ Fixed points of completely positive maps and their dual maps ⋮ Decoherence-free algebra ⋮ C∗-extreme points of entanglement breaking maps ⋮ Quantum operations on conformal nets ⋮ Generalized orbifold construction for conformal nets ⋮ Approximation states and fixed points of quantum channels ⋮ Toeplitz operators associated to commuting row contractions ⋮ Multiplicative properties of quantum channels ⋮ On limiting distributions of quantum Markov chains ⋮ Noise and disturbance in quantum measurement ⋮ The range of generalized quantum operations ⋮ On spectra of Lüders operations ⋮ Quantum Computation and Quantum Operations ⋮ Sequential products of quantum measurements ⋮ Some characterizations of quantum channel in infinite Hilbert spaces ⋮ A class of general quantum operations ⋮ Some problems for sequential effect algebras ⋮ Generalized quantum operations and almost sharp quantum effects ⋮ On fixed points of Lüders operation ⋮ Fixed points of dual quantum operations ⋮ A note on sequential product of quantum effects ⋮ A quantum computing primer for operator theorists ⋮ A note on operator probability theory involving numerical ranges ⋮ Fixed points of trace preserving completely positive maps ⋮ On period, cycles and fixed points of a quantum channel ⋮ Transition effect matrices and quantum Markov chains ⋮ Absorption in invariant domains for semigroups of quantum channels ⋮ Fixed points of normal completely positive maps on B\((\mathcal H)\) ⋮ Non-disturbance for fuzzy quantum measurements ⋮ Nondisturbing quantum measurements ⋮ Noncommutative Poisson boundaries of unital quantum operations ⋮ Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system ⋮ Absorption and fixed points for semigroups of quantum channels ⋮ Characterizations of fixed points of quantum operations ⋮ Channel-based coherence of quantum states ⋮ Thermodynamically free quantum measurements

Cites Work

• On some extension properties of von Neumann algebras
• Sequential quantum measurements
• On the projection of norm one in $W^ *$-algebras
• Two finite, non‐hyperfinite, non‐isomorphic factors

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