LEADER 05625nam 2200673Ia 450 001 9910826015203321 005 20240313172832.0 010 $a1-299-28115-X 010 $a981-4447-54-4 035 $a(CKB)2560000000099524 035 $a(EBL)1143273 035 $a(OCoLC)830162012 035 $a(SSID)ssj0000833982 035 $a(PQKBManifestationID)12380604 035 $a(PQKBTitleCode)TC0000833982 035 $a(PQKBWorkID)10936725 035 $a(PQKB)10129420 035 $a(MiAaPQ)EBC1143273 035 $a(WSP)00002917 035 $a(Au-PeEL)EBL1143273 035 $a(CaPaEBR)ebr10674330 035 $a(EXLCZ)992560000000099524 100 $a20121102d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum probability and related topics $eproceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 /$fedited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy) 205 $a1st ed. 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2013 215 $a1 online resource (280 p.) 225 0 $aQP-PQ, quantum probability and white noise analysis ;$vvol. 29 300 $aDescription based upon print version of record. 311 $a981-4447-53-6 320 $aIncludes bibliographical references and index. 327 $aCONTENTS; Preface; Central Extension of Virasoro Type Subalgebras of the Zamolodchikov-w1 Lie Algebra L. Accardi and A. Boukas; 1. Introduction; 2. Closed subalgebras of w; 3. Abelian sub-algebras of w; 4. Basic facts on central extensions of Lie algebras; 5. Central extensions of wN; References; Entanglement Protection and Generation Under Continuous Monitoring A. Barchielli and M. Gregoratti; 1. Introduction; 1.1. Two qubits; 1.2. Concurrence; 2. Global evolution and continuous measurements; 2.1. HP evolutions; 2.2. From the HP-equation to the SSE 327 $a2.3. Interacting and non-interacting subsystems3. No direct or indirect interaction; 3.1. The a posteriori concurrence; 3.2. Only local detection operators; 3.2.1. Diffusive case; 3.2.2. Jump case; 3.3. An example with general detection operators; 3.3.1. Concurrence of the a priori state; 3.3.2. Local detection operators; 3.3.3. Non local detection operators; 4. An example with indirect interaction; References; Completely Positive Transformations of Quantum Operations G. Chiribella, A. Toigo and V. Umanita; 1. Introduction; 2. Notations and preliminary results 327 $a2.1. Increasing sequences of normal CP maps2.2. Tensor product of weak*-continuous CB maps; 3. Quantum supermaps; 4. Dilation of deterministic and probabilistic supermaps; 4.1. Sketch of the proof of Theorem 4.1; 5. An application of Theorem 4.1: Transforming a quantum measurement into a quantum channel; 6. Superinstruments; 7. Application of Theorem 6.1: Measuring a measurement; 7.1. Outcome statistics for a measurement on a measuring device; 7.2. Tranformations of measuring devices induced by a higher-order measurement; Acknowledgements; References 327 $aInvariant Operators in Schr odinger Setting V.K. Dobrev1. Introduction; 2. Preliminaries; 3. Choice of bulk and boundary; 4. Boundary-to-bulk correspondence; 5. Singular vectors and invariant differential equations; 5.1. Singular vectors; 5.2. Generalized Schrodinger equations from a vector-field realization of the Schrodinger algebra; 5.3. Generalized Schrodinger equations in the bulk; Acknowledgments; References; Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems F. Fagnola and L. Pantale on Martinez; 1. Introduction; 2. Open quantum system models 327 $a3. G1 generates a semigroup4. G generates a semigroup; References; Quantum Observables on a Completely Simple Semigroup Ph. Feinsilver; 1. Introduction; 1.1. Notations; 2. Probability measures on finite semigroups; 2.1. Invariant measures on the kernel; 3. Graphs, semigroups, and dynamical systems; 4. Tensor hierarchy; 4.1. The degree 2 component of V; 4.2. Basic Identities; 4.3. Trace Identities; 4.4. Convergence to tensor hierarchy; 5. The principal observables: M and N operators; 5.1. Graph-theoretic context; 5.2. Level 2 of the tensor hierarchy; 5.2.1. M and N operators 327 $a5.2.2. Diagonal of N N 330 $aThis volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to resear 410 0$aQP-PQ: Quantum Probability and White Noise Analysis 606 $aProbabilities$vCongresses 606 $aQuantum theory$vCongresses 615 0$aProbabilities 615 0$aQuantum theory 676 $a530.1201/5192 701 $aAccardi$b L$g(Luigi),$f1947-$0319693 701 $aFagnola$b Franco$0531525 712 12$aInternational Conference on Quantum Probability and Related Topics 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910826015203321 996 $aQuantum probability and related topics$93916255 997 $aUNINA