منابع مشابه
Quantum fields on timelike curves
A quantum field Φ(x) exists at an event x ∈ M of space-time (M, g) in general only as a quadratic form Φ(x). Only after smearing Φ(x) with a smooth test function f we get an operator Φ(f). In this paper the question is considered whether it is possible as well to smear Φ(x) with a singular test function T (i.e. test distributions) supported by a smooth timelike curve γ. It is shown that this is...
متن کاملQuantum coherence and closed timelike curves.
Various calculations of the S matrix have shown that it seems to be non unitary for interacting fields when there are closed timelike curves. It is argued that this is because there is loss of quantum coherence caused by the fact that part of the quantum state circulates on the closed timelike curves and is not measured at infinity. A prescription is given for calculating the superscattering ma...
متن کاملClosed Timelike Curves
In this paper, we explore the possibility that closed timelike curves might be allowed by the laws of physics. A closed timelike curve is perhaps the closest thing to time travel that general relativity allows. We will begin our discussing just what closed timelike curves are, and in what kinds of contexts they were first shown to appear. We then explore how one might actually travel on a close...
متن کاملEigenvalue Formulation of Quantum Mechanics Near Closed Timelike Curves
Einstein’s field equations of gravitation are known to admit closed timelike curve (CTC) solutions. Deutsch approached the problem from the quantum information point of view and proposed a selfconsistency condition. In this work, the Deutsch equation is formulated as an eigenvalue problem. The disappearance of entanglement between two qubits in an Einstein-Podolsky-Rosen (EPR) state near a CTC ...
متن کاملClosed Timelike Curves Make Quantum and Classical Computing Equivalent
While closed timelike curves (CTCs) are not known to exist, studying their consequences has led to nontrivial insights in general relativity, quantum information, and other areas. In this paper we show that if CTCs existed, then quantum computers would be no more powerful than classical computers: both would have the (extremely large) power of the complexity class PSPACE, consisting of all prob...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2011
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.84.062316