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The fact that closed timelike curves (CTCs) are permitted by general relativity raises the question as to how quantum systems behave when time travel to the past occurs. Research into answering this question by utilising the quantum circuit…

量子物理 · 物理学 2014-10-13 John-Mark A. Allen

It is claimed in the above paper that, if time travel were possible, quantum propagation would prevent classic time travel paradoxes by establishing consistent loops; an example circuit is used to demonstrate such a loop. It is argued here…

量子物理 · 物理学 2007-05-23 John S. Wykes

We consider two approaches to evading paradoxes in quantum mechanics with closed timelike curves (CTCs). In a model similar to Politzer's, assuming pure states and using path integrals, we show that the problems of paradoxes and of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Allen Everett

General relativity predicts the existence of closed timelike curves (CTCs), along which an object could travel to its own past. A consequence of CTCs is the failure of determinism, even for classical systems: one initial condition can…

量子物理 · 物理学 2021-05-20 Lachlan G. Bishop , Fabio Costa , Timothy C. Ralph

We introduce a general categorical framework to reason about quantum theory and other process theories living in spacetimes where Closed Timelike Curves (CTCs) are available, allowing resources to travel back in time and provide…

量子物理 · 物理学 2019-02-04 Nicola Pinzani , Stefano Gogioso , Bob Coecke

This paper discusses the quantum mechanics of closed timelike curves (CTC) and of other potential methods for time travel. We analyze a specific proposal for such quantum time travel, the quantum description of CTCs based on post-selected…

For time travel to be consistent with the known laws of physics, the resulting paradoxes must be resolved. It has been suggested that parallel timelines (a.k.a. multiple histories) may provide a resolution. However, so far, a concrete…

量子物理 · 物理学 2024-04-30 Barak Shoshany , Zipora Stober

Recently, there has been much interest in the evolution of quantum particles on closed time-like curves (CTCs). However, such models typically assume point-like particles with only two degrees of freedom - a very questionable assumption…

广义相对论与量子宇宙学 · 物理学 2012-09-18 J. L. Pienaar , C. R. Myers , T. C. Ralph

The conceptual definition and understanding of time, both quantitatively and qualitatively is of the utmost difficulty and importance. As time is incorporated into the proper structure of the fabric of spacetime, it is interesting to note…

广义相对论与量子宇宙学 · 物理学 2013-10-21 Francisco S. N. Lobo

We study the paradoxical aspects of closed time-like curves and their impact on the theory of computation. After introducing the $\text{TM}_\text{CTC}$, a classical Turing machine benefiting CTCs for backward time travel, Aaronson et al.…

计算复杂性 · 计算机科学 2023-01-30 Sara Babaee Khanehsar , Farzad Didehvar

Closed timelike curves (CTCs) are trajectories in spacetime that effectively travel backwards in time: a test particle following a CTC can in principle interact with its former self in the past. CTCs appear in many solutions of Einstein's…

We extend the theory of quantum time loops introduced by Greenberger and Svozil [1] from the scalar situation (where paths have just an associated complex amplitude) to the general situation where the time traveling system has…

量子物理 · 物理学 2025-10-07 J. E. Gough

Toy models for quantum evolution in the presence of closed timelike curves (CTCs) have gained attention in the recent literature due to the strange effects they predict. The circuits that give rise to these effects appear quite abstract and…

量子物理 · 物理学 2013-05-30 J. L. Pienaar , C. R. Myers , T. C. Ralph

The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable…

量子物理 · 物理学 2012-03-06 George Svetlichny

The theory of general relativity predicts the existence of closed time-like curves (CTCs), which theoretically would allow an observer to travel back in time and interact with their past self. This raises the question of whether this could…

量子物理 · 物理学 2026-05-26 Germain Tobar , Fabio Costa

I argue that Deutsch's model for the behavior of systems traveling around closed timelike curves (CTCs) relies implicitly on a substantive metaphysical assumption. Deutsch is employing a version of quantum theory with a significantly…

量子物理 · 物理学 2016-01-19 Lucas Dunlap

In principe, General Relativity seems to allow the existence of closed timelike curves (CTC). However, when quantum effects are considered, it is likely that their existence is prevented by some kind of chronological protection mechanism,…

量子物理 · 物理学 2020-01-29 Gonzalo Martín-Vázquez , Carlos Sabín

We introduce a quantum mechanical model of time travel which includes two figurative beam splitters in order to induce feedback to earlier times. This leads to a unique solution to the paradox where one could kill one's grandfather in that…

量子物理 · 物理学 2015-06-26 Daniel M. Greenberger , Karl Svozil

We analyze the application of the history state formalism to quantum walks. The formalism allows one to describe the whole walk through a pure quantum history state, which can be derived from a timeless eigenvalue equation. It naturally…

量子物理 · 物理学 2022-12-29 F. Lomoc , A. P. Boette , N. Canosa , R. Rossignoli

In this paper, some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evolution operators in the pseudo momentum space. For some…

谱理论 · 数学 2024-03-26 Kenta Higuchi , Hisashi Morioka
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