Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014
A superqubit, belonging to a (2|1)-dimensional super-Hilbert space, constitutes the minimal super... more A superqubit, belonging to a (2|1)-dimensional super-Hilbert space, constitutes the minimal supersymmetric extension of the conventional qubit. In order to see whether superqubits are more non-local than ordinary qubits, we construct a class of two-superqubit entangled states as a non-local resource in the CHSH game. Since super Hilbert space amplitudes are Grassmann numbers, the result depends on how we extract real probabilities and we examine three choices of map: (1) DeWitt (2) Trigonometric and (3) Modified Rogers. In cases (1) and (2), the winning probability reaches the Tsirelson boundpwin=cos2π/8≃0.8536of standard quantum mechanics. Case (3) crosses Tsirelson's bound withpwin≃0.9265. Although all states used in the game involve probabilities lying between 0 and 1, case (3) permits other changes of basis inducing negative transition probabilities.
Mirror symmetry - an example with 2 parameters, P. Candelas finite 2D sigma models and exact stri... more Mirror symmetry - an example with 2 parameters, P. Candelas finite 2D sigma models and exact string solutions, A. Tseytlin putting string/fivebrane duality to the test, M. Duff instantons, monopoles, strings and fivebranes, R. Khuri classical gravitational effects in high-energy superstring, D. Amati duality symmetries in curved string backgrounds, F. Quevedo spontaneously broken SU(2)xU(1) supersymmetric Yang-Mills theory, S. Ferrara construction of string solutions around non-trivial backgrounds, C. Kounnas a predictive Ansatz for fermion masses, S. Raby Higgs Bosons as pseudo-goldstones or back to the doublet-triplet splitting, R. Barbieri string loop corrections to gauge and Yukawa couplings, L. Antoniadis an SO(10) theory of fermion masses, L. Hall anomalously simple supergravity inflation, N. Ovrut supersymmetric unification, G. Ross how to put string theory under experimental test - a proposal, A. Zichichi and other papers.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014
A superqubit, belonging to a (2|1)-dimensional super-Hilbert space, constitutes the minimal super... more A superqubit, belonging to a (2|1)-dimensional super-Hilbert space, constitutes the minimal supersymmetric extension of the conventional qubit. In order to see whether superqubits are more non-local than ordinary qubits, we construct a class of two-superqubit entangled states as a non-local resource in the CHSH game. Since super Hilbert space amplitudes are Grassmann numbers, the result depends on how we extract real probabilities and we examine three choices of map: (1) DeWitt (2) Trigonometric and (3) Modified Rogers. In cases (1) and (2), the winning probability reaches the Tsirelson boundpwin=cos2π/8≃0.8536of standard quantum mechanics. Case (3) crosses Tsirelson's bound withpwin≃0.9265. Although all states used in the game involve probabilities lying between 0 and 1, case (3) permits other changes of basis inducing negative transition probabilities.
Mirror symmetry - an example with 2 parameters, P. Candelas finite 2D sigma models and exact stri... more Mirror symmetry - an example with 2 parameters, P. Candelas finite 2D sigma models and exact string solutions, A. Tseytlin putting string/fivebrane duality to the test, M. Duff instantons, monopoles, strings and fivebranes, R. Khuri classical gravitational effects in high-energy superstring, D. Amati duality symmetries in curved string backgrounds, F. Quevedo spontaneously broken SU(2)xU(1) supersymmetric Yang-Mills theory, S. Ferrara construction of string solutions around non-trivial backgrounds, C. Kounnas a predictive Ansatz for fermion masses, S. Raby Higgs Bosons as pseudo-goldstones or back to the doublet-triplet splitting, R. Barbieri string loop corrections to gauge and Yukawa couplings, L. Antoniadis an SO(10) theory of fermion masses, L. Hall anomalously simple supergravity inflation, N. Ovrut supersymmetric unification, G. Ross how to put string theory under experimental test - a proposal, A. Zichichi and other papers.
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Papers by Michael Duff