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Quantum computation with quantum data that can traverse closed timelike curves represents a new physical model of computation. We argue that a model of quantum computation in the presence of closed timelike curves can be formulated which…

Quantum Physics · Physics 2008-11-26 Dave Bacon

We investigate the relationship between computation and spacetime structure, focussing on the role of closed timelike curves (CTCs) in promoting computational speedup. We note first that CTC traversal can be interpreted in two distinct…

General Relativity and Quantum Cosmology · Physics 2011-03-08 Mike Stannett

We use techniques of quantum information theory to analyze the quantum causal histories approach to quantum gravity. We show that while it is consistent to introduce closed timelike curves (CTCs), they cannot generically carry independent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , Daniel R. Terno

We define a new quantity we call a ctcbit that provides a means for quantifying a qubit on a closed time-like curve (CTC) as a shared resource. We describe a simple protocol for the sharing of information that is similar to quantum…

Quantum Physics · Physics 2008-12-25 Ian T. Durham

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 self-consistency condition. In this work, the…

Quantum Physics · Physics 2012-01-25 Z. Gedik

I give a historical survey of the discussions about the existence of closed timelike curves in general relativistic models of the universe, opening the physical possibility of time travel in the past, as first recognized by K. G\"odel in…

General Relativity and Quantum Cosmology · Physics 2021-01-22 Jean-Pierre Luminet

We consider the region of closed timelike curves (CTC's) in three-dimensional flat Lorentz spacetimes. The interest in this global geometrical feature goes beyond the purely mathematical. Such spacetimes may be considered lower-dimensional…

Differential Geometry · Mathematics 2009-11-07 Virginie Charette , Todd A. Drumm , Dieter Brill

Examples are given of the creation of closed timelike curves by choices of coordinate identifications. Following G\"odel's prescription, it is seen that flat spacetime can produce closed timelike curves with structure similar to that of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. I. Cooperstock , S. Tieu

One way to study the physical plausibility of closed timelike curves (CTCs) is to examine their computational power. This has been done for Deutschian CTCs (D-CTCs) and post-selection CTCs (P-CTCs), with the result that they allow for the…

Quantum Physics · Physics 2025-03-07 Mateus Araújo , Philippe Allard Guérin , Ämin Baumeler

Closed time-like curves naturally appear in a variety of chronology-violating space-times. In these space-times, the Principle of Self-Consistency demands an harmony between local and global affairs that excludes grandfather-like paradoxes.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gustavo E. Romero , Diego F. Torres

We consider Deutsch's computational model of a quantum system evolving in a spacetime containing closed timelike curves. Although it is known that this model predicts non-linear and non-unitary evolutions of the system, we demonstrate that…

Quantum Physics · Physics 2010-05-12 Richard DeJonghe , Kimberly Frey , Tom Imbo

A time machine that sends information back to the past may, in principle, be built using closed time-like curves. However, the realization of a time machine must be congruent with apparent paradoxes that arise from traveling back in time.…

General Relativity and Quantum Cosmology · Physics 2011-01-11 Hwee Kuan Lee

We construct a metrology experiment in which the metrologist can sometimes amend her input state by simulating a closed timelike curve, a worldline that travels backward in time. The existence of closed timelike curves is hypothetical.…

Quantum Physics · Physics 2023-11-07 David R. M. Arvidsson-Shukur , Aidan G. McConnell , Nicole Yunger Halpern

Continuous time crystals (CTCs) are characterized by sustained oscillations that break the time translation symmetry. Since the ruling out of equilibrium CTCs by no-go theorems, the emergence of such dynamical phases has been observed in…

Quantum Physics · Physics 2024-05-01 Ya-Xin Xiang , Qun-Li Lei , Zhengyang Bai , Yu-Qiang Ma

In orthodox quantum theory the observables of spacelike separated quantum systems commute. I shall call this the commutation constraint. It severely limits quantum theory's explanatory power. For instance, the constraint cannot be met in…

Quantum Physics · Physics 2022-05-06 Samuel Kuypers

A recent paper from Brun et al. has argued that access to a closed timelike curve (CTC) would allow for the possibility of perfectly distinguishing nonorthogonal quantum states. This result can be used to develop a protocol for…

Quantum Physics · Physics 2016-01-19 Lucas Dunlap

Modified gravity is often approached in the context of effective-field theory (EFT), with the view that the EFT corrections permit a more desirable theory. In this paper, we posit that this should extend to the causal structure of curved…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Bum-Hoon Lee , Nils A. Nilsson , Somyadip Thakur

Galileon models are a class of effective field theories that have recently received much attention. They arise in the decoupling limit of theories of massive gravity, and in some cases they have been treated in their own right as scalar…

High Energy Physics - Theory · Physics 2015-06-03 Clare Burrage , Claudia de Rham , Lavinia Heisenberg , Andrew J. Tolley

A computer which has access to a closed timelike curve, and can thereby send the results of calculations into its own past, can exploit this to solve difficult computational problems efficiently. I give a specific demonstration of this for…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Todd A. Brun

Analogue gravity systems offer many insights into gravitational phenomena, both at the classical and at the semiclassical level. The existence of an underlying Minkowskian structure (or Galilean in the non-relativistic limit) in the…

General Relativity and Quantum Cosmology · Physics 2022-04-08 Carlos Barceló , Jokin Eguia Sánchez , Gerardo García-Moreno , Gil Jannes