Advances in quantum computation : representation theory, quantum field theory, category theory, mathematical physics, and quantum information theory, September 2023, 2007, University of Texas at Tyler

Contributor(s): Koslover Deborah | Mahdavi KazemMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 482Publication details: Providence, R.I. : American Mathematical Society, c2009Description: 1 online resource (vii, 240 p. : ill.)ISBN: 9780821881613 (online)Subject(s): Quantum communication | Quantum computers | Quantum theoryOnline resources: Click here to access online
Contents:
Mathematical formulations of atom trap quantum gates ; Charge renormalization, Apery's number, and the trefoil knot ; Braid group, TemperleyLieb algebra, and quantum information and computation ; Poisson algebras and YangBaxter equations ; Ambiguity in quantumtheoretical descriptions of experiments ; Reference frame fields based on quantum theory representations of real and complex numbers ; Two paradigms for topological quantum computation ; Contraction of matchgate tensor networks on nonplanar graphs ; Probing topological order in quantum Hall states using entanglement calculations ; Topological order and entanglement ; Hierarchical quantum search Zhigang Zhang and Goong Chen ; Howard E Brandt ; Yong Zhang ; Travis Schedler ; John M Myers and F Hadi Madjid ; Paul Benioff ; Eric C Rowell ; Sergey Bravyi ; Masudul Haque ; Alioscia Hamma ; Vladimir E Korepin and Ying Xu
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Includes bibliographical references.

Mathematical formulations of atom trap quantum gates ; Charge renormalization, Apery's number, and the trefoil knot ; Braid group, TemperleyLieb algebra, and quantum information and computation ; Poisson algebras and YangBaxter equations ; Ambiguity in quantumtheoretical descriptions of experiments ; Reference frame fields based on quantum theory representations of real and complex numbers ; Two paradigms for topological quantum computation ; Contraction of matchgate tensor networks on nonplanar graphs ; Probing topological order in quantum Hall states using entanglement calculations ; Topological order and entanglement ; Hierarchical quantum search Zhigang Zhang and Goong Chen ; Howard E Brandt ; Yong Zhang ; Travis Schedler ; John M Myers and F Hadi Madjid ; Paul Benioff ; Eric C Rowell ; Sergey Bravyi ; Masudul Haque ; Alioscia Hamma ; Vladimir E Korepin and Ying Xu