Quantum walking in curved spacetime: (3+1) dimensions, and beyond
نویسندگان
چکیده
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...
متن کاملQuantum Computational Complexity in Curved Spacetime
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...
متن کاملAbsolute quantum energy inequalities in curved spacetime
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 ...
متن کاملQuantum Field Theory in Curved Spacetime
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...
متن کاملQuantum Fields in Curved Spacetime: Non Global Hyperbolicity and Locality
We briefly review the current status of the algebraic approach to quantum field theory on globally hyperbolic spacetimes, both axiomatic – for general field 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. Math. Phys., Special Issue, 167-195 (1992) and explain how it can be formulated at an axioma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quantum Information and Computation
سال: 2017
ISSN: 1533-7146,1533-7146
DOI: 10.26421/qic17.9-10-4