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Quantum complexity theory
 in Proc. 25th Annual ACM Symposium on Theory of Computing, ACM
, 1993
"... Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97–117]. This constructi ..."
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Cited by 574 (5 self)
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Abstract. In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s model of a quantum Turing machine (QTM) [Proc. Roy. Soc. London Ser. A, 400 (1985), pp. 97
Algorithms for Quantum Computation: Discrete Logarithms and Factoring
, 1994
"... A computer is generally considered to be a universal computational device; i.e., it is believed able to simulate any physical computational device with a cost in computation time of at most a polynomial factol: It is not clear whether this is still true when quantum mechanics is taken into consider ..."
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Cited by 1111 (5 self)
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into consideration. Several researchers, starting with David Deutsch, have developed models for quantum mechanical computers and have investigated their computational properties. This paper gives Las Vegas algorithms for finding discrete logarithms and factoring integers on a quantum computer that take a number
Sigma Models
"... Abstract. We derive and discuss a new type of N = 2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1, 2, 1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a nonsymmetric Her ..."
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Abstract. We derive and discuss a new type of N = 2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1, 2, 1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non
Orientifolds and Mirror symmetry
, 2003
"... We study parity symmetries and crosscap states in classes of N = 2 supersymmetric quantum field theories in 1+1 dimensions, including nonlinear sigma models, gauged WZW models, LandauGinzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many of t ..."
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Cited by 271 (11 self)
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We study parity symmetries and crosscap states in classes of N = 2 supersymmetric quantum field theories in 1+1 dimensions, including nonlinear sigma models, gauged WZW models, LandauGinzburg models, and linear sigma models. The parity anomaly and its cancellation play important roles in many
Notes on (twisted) lattice supersymmetry
, 2005
"... We describe a new approach to the problem of putting supersymmetric theories on the lattice. The basic idea is to discretize a twisted formulation of the supersymmetric theory. For certain theories with extended supersymmetry these twisted formulations contain only integer spin fields. The twisting ..."
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Cited by 1 (0 self)
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exposes a scalar nilpotent supercharge which generates an exact lattice symmetry. We gives examples from quantum mechanics, sigma models and YangMills theories.
A pointcharge force field for molecular mechanics simulations of proteins based on condensedphase QM calculations
 J. Comput. Chem
, 2003
"... Abstract: Molecular mechanics models have been applied extensively to study the dynamics of proteins and nucleic acids. Here we report the development of a thirdgeneration pointcharge allatom force field for proteins. Following the earlier approach of Cornell et al., the charge set was obtained b ..."
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Cited by 229 (6 self)
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mechanical methods. All other parameters were taken from the existing AMBER data base. The major departure from previous force fields is that all quantum mechanical calculations were done in the condensed phase with continuum solvent models and an effective dielectric constant of 4. We anticipate
The factorized Smatrix of CFT/AdS
, 2004
"... We argue that the recently discovered integrability in the largeN CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory’s dilatati ..."
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Cited by 240 (7 self)
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dilatation operator nor the string sigma model’s quantum Hamiltonian, but instead the respective factorized Smatrix. To illustrate the idea, we focus on the closed fermionic su(11) sector of the N = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use
Theories in Six Dimensions
, 1997
"... We study the (2, 0) superconformal theories in six dimensions, which arise from the lowenergy limit of k coincident 5branes, using their discrete lightcone formulation as a superconformal quantum mechanical sigma model. We analyze the realization of the superconformal symmetry in the quantum mecha ..."
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We study the (2, 0) superconformal theories in six dimensions, which arise from the lowenergy limit of k coincident 5branes, using their discrete lightcone formulation as a superconformal quantum mechanical sigma model. We analyze the realization of the superconformal symmetry in the quantum
Supersymmetric Sigma Models
 Twistors, and the AtiyahHitchin Metric, Commun. Math. Phys
, 1996
"... Abstract. We derive and discuss a new type of N = 2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a nonsymmetric Herm ..."
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Cited by 6 (0 self)
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Abstract. We derive and discuss a new type of N = 2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non
Quantum Mechanically Induced Hopf Term in the O(3) Nonlinear Sigma Model
, 1997
"... Abstract. The Hopf term in the 2 + 1 dimensional O(3) nonlinear sigma model, which is known to be responsible for fractional spin and statistics, is reexamined from the viewpoint of quantization ambiguity. It is confirmed that the Hopf term can be understood as a term induced quantum mechanically, ..."
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Cited by 1 (0 self)
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Abstract. The Hopf term in the 2 + 1 dimensional O(3) nonlinear sigma model, which is known to be responsible for fractional spin and statistics, is reexamined from the viewpoint of quantization ambiguity. It is confirmed that the Hopf term can be understood as a term induced quantum mechanically
Results 1  10
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5,729