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... groups are likewise defined by polynomial equations and have corresponding algebras C[G] , as well as versions k[G] defined over general fields with the same relations. Meanwhile, working over C , a “real form” means the additional structure of a compatible complex-linear involution making the coord ...
... groups are likewise defined by polynomial equations and have corresponding algebras C[G] , as well as versions k[G] defined over general fields with the same relations. Meanwhile, working over C , a “real form” means the additional structure of a compatible complex-linear involution making the coord ...
Simple Resonance Hierarchy for Surmounting Quantum Uncertainty
... example along an arbitrary z axis by continuous application of a non-uniform magnetic field to atomic spin structure [1], or by Young’s double-slit experiment [2]. This scenario is cast in stone and is not the arena of our attack. The simplistic answer is ‘do something else’! Our putative solution i ...
... example along an arbitrary z axis by continuous application of a non-uniform magnetic field to atomic spin structure [1], or by Young’s double-slit experiment [2]. This scenario is cast in stone and is not the arena of our attack. The simplistic answer is ‘do something else’! Our putative solution i ...
Fermi liquid
... 1. Quantum critical electron systems and the great questions of condensed matter physics 2. Hairy black holes versus zero temperature entropy in quantum ...
... 1. Quantum critical electron systems and the great questions of condensed matter physics 2. Hairy black holes versus zero temperature entropy in quantum ...
Quantum computation and Shor`s factoring algorithm
... state of the head, and the position of the head. For example, the initial configuration is given by the input string, q 0 and the head scanning the leftmost symbol from the input. There are infinitely many possible configurations of the machine, but in all successful computations the machine goes th ...
... state of the head, and the position of the head. For example, the initial configuration is given by the input string, q 0 and the head scanning the leftmost symbol from the input. There are infinitely many possible configurations of the machine, but in all successful computations the machine goes th ...
URL - StealthSkater
... This leads to a peculiar paradox. If the number of quantum jumps already occurred is infinite, this prime is most naturally infinite. On the other hand, if one assumes that only finite number of quantum jumps have occurred, one encounters the problem of understanding why the initial quantum history ...
... This leads to a peculiar paradox. If the number of quantum jumps already occurred is infinite, this prime is most naturally infinite. On the other hand, if one assumes that only finite number of quantum jumps have occurred, one encounters the problem of understanding why the initial quantum history ...
Modernizing Quantum Annealing using Local Searches
... Abstract. I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. Such protocols will have numerous advantages over simple quantum annealing. By ...
... Abstract. I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. Such protocols will have numerous advantages over simple quantum annealing. By ...
Quantum Copy-Protection and Quantum Money
... and makes T queries to an oracle that recognizes |ϕi, can decide whether |ϕi was drawn from the explicit distribution or the Haar measure. Both for that reason, and because our construction was independent of [6], in the full version of the paper we give a self-contained proof of the following resu ...
... and makes T queries to an oracle that recognizes |ϕi, can decide whether |ϕi was drawn from the explicit distribution or the Haar measure. Both for that reason, and because our construction was independent of [6], in the full version of the paper we give a self-contained proof of the following resu ...
Fundamental aspects of quantum Brownian motion
... Sqq共t兲 = −共ប␥ / M 40兲t−2. Its relevance for the dynamical evolution of the damped harmonic oscillator depends on the details of the initial preparation.21 Although the algebraic decay results from the zero temperature limit it can also be observed at low, but finite temperatures during intermedia ...
... Sqq共t兲 = −共ប␥ / M 40兲t−2. Its relevance for the dynamical evolution of the damped harmonic oscillator depends on the details of the initial preparation.21 Although the algebraic decay results from the zero temperature limit it can also be observed at low, but finite temperatures during intermedia ...