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320,266
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 1107 (5 self)
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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
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 687 (18 self)
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The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary
PolynomialTime Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
 SIAM J. on Computing
, 1997
"... A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true when quantum mechanics is taken into consideration. ..."
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Cited by 1278 (4 self)
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A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true when quantum mechanics is taken into consideration
Quantum generalized cohomology
 in Operads, Contemp. Math
, 1997
"... Abstract. We construct a ring structure on complex cobordism tensored with Q, which is related to the usual ring structure as quantum cohomology is related to ordinary cohomology. The resulting object defines a generalized twodimensional topological field theory taking values in a category of spect ..."
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Cited by 3 (3 self)
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Abstract. We construct a ring structure on complex cobordism tensored with Q, which is related to the usual ring structure as quantum cohomology is related to ordinary cohomology. The resulting object defines a generalized twodimensional topological field theory taking values in a category
Quantum Generalized Subsystems
, 902
"... Abstract We propose a new formalism of quantum subsystems which allows to unify the existing and new methods of reduced description of quantum systems. The main mathematical ingredients are completely positive maps and correlation functions. In this formalism generalized quantum systems can be compo ..."
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Cited by 1 (0 self)
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Abstract We propose a new formalism of quantum subsystems which allows to unify the existing and new methods of reduced description of quantum systems. The main mathematical ingredients are completely positive maps and correlation functions. In this formalism generalized quantum systems can
Crystal bases for quantum generalized KacMoody algebras
, 2003
"... We construct canonical bases for quantum generalized KacMoody algebras using semisimple perverse sheaves. ..."
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Cited by 22 (7 self)
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We construct canonical bases for quantum generalized KacMoody algebras using semisimple perverse sheaves.
Quantum General Relativity and Hawking Radiation
, 2002
"... In a previous paper we have set up the WheelerDeWitt equation which describes the quantum general relativistic collapse of a spherical dust cloud. In the present paper we specialize this equation to the case of matter perturbations around a black hole, and show that in the WKB approximation, the wa ..."
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In a previous paper we have set up the WheelerDeWitt equation which describes the quantum general relativistic collapse of a spherical dust cloud. In the present paper we specialize this equation to the case of matter perturbations around a black hole, and show that in the WKB approximation
Results 1  10
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320,266