منابع مشابه
Quantum Fields in Curved Spacetime :
We brieey review the current status of the algebraic approach to quantum eld theory on globally hyperbolic spacetimes, both axiomatic { for general eld theories, and constructive { for a linear Klein-Gordon model. We recall the concept of F-locality, introduced in the latter context in BS Kay: Rev. and explain how it can be formulated at an axiomatic level for a general eld theory (as a conditi...
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In this paper we examine how computational complexity analysis of quantum algorithms may be compromised when implicit assumptions of flat spacetime are violated. In particular, we show that in curved spacetime, i.e., all practical contexts, the complexity of standard formulations of Grover’s algorithm (and other iterative quantum algorithms) may reduce to that of classical alternatives. In addi...
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Quantum Energy Inequalities (QEIs) are results which limit the extent to which the smeared renormalised energy density of the quantum field can be negative, when averaged along a timelike curve or over a more general timelike submanifold in spacetime. On globally hyperbolic spacetimes the minimally-coupled massive quantum Klein–Gordon field is known to obey a ‘difference’ QEI that depends on a ...
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We review the mathematically rigorous formulation of the quantum theory of a linear field propagating in a globally hyperbolic spacetime. This formulation is accomplished via the algebraic approach, which, in essence, simultaneously admits all states in all possible (unitarily inequivalent) Hilbert space constructions. The physically nonsingular states are restricted by the requirement that the...
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We discuss -expansion in curved space-time for asymptotically free and asymptotically non-free theories. The existence of stable and unstable xed points is investigated for f 4 theory and SU(2) gauge theory. It is shown that -expansion maybe compatible with asymptotic freedom on special solutions of the RG equations in a special case (supersymmetric theory). Using -expansion RG technique the e ...
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ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2016
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-016-1335-7