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We consider causality respecting (CR) quantum systems interacting with closed timelike curves (CTCs), within the Deutsch model. We introduce the concepts of popping up and elimination of quantum information and use them to show that…

量子物理 · 物理学 2018-07-17 Asutosh Kumar , Indranil Chakrabarty , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

We use holography to examine the response of interacting quantum fields to the appearance of closed timelike curves in a dynamically evolving background that initially does not contain them. For this purpose, we study a family of…

高能物理 - 理论 · 物理学 2022-04-05 Roberto Emparan , Marija Tomašević

The possible existence of closed timelike curves (CTCs) draws attention to fundamental questions about what is physically possible and what is not. An example is the "no cloning theorem" in quantum mechanics, which states that no physical…

量子物理 · 物理学 2015-06-05 D. Ahn , C. R. Myers , T. C. Ralph , R. B. Mann

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Etera R. Livine , Daniel R. Terno

Quantum channels describe subsystem or open system evolution. Using the classical Koopman operator that evolves functions on phase space, 4 classical Koopman channels are identified that are analogs of the 4 possible quantum channels in a…

量子物理 · 物理学 2024-07-22 Bidhi Vijaywargia , Arul Lakshminarayan

Closed timelike curves (CTCs) appear in many solutions of the Einstein equation, even with reasonable matter sources. These solutions appear to violate causality and so are considered problematic. Since CTCs reflect the global properties of…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Sergei Slobodov

Quantum walks have emerged as an interesting approach to quantum information processing, exhibiting many unique properties compared to the analogous classical random walk. Here we introduce a model for a discrete-time quantum walk with…

量子物理 · 物理学 2013-05-08 Peter P. Rohde , Gavin K. Brennen , Alexei Gilchrist

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…

量子物理 · 物理学 2008-11-26 Dave Bacon

We show that a quantum clock cannot be teleported without prior synchronization between sender and receiver: every protocol using a finite amount of entanglement and an arbitrary number of rounds of classical communication will necessarily…

量子物理 · 物理学 2012-07-26 G. Chiribella , V. Giovannetti , L. Maccone , P. Perinotti

Classical random walk formalism shows a significant role across a wide range of applications. As its quantum counterpart, the quantum walk is proposed as an important theoretical model for quantum computing. By exploiting the quantum…

量子物理 · 物理学 2025-03-18 Xiaogang Qiang , Shixin Ma , Haijing Song

We propose a history state formalism for a Dirac particle. By introducing a reference quantum clock system it is first shown that Dirac's equation can be derived by enforcing a timeless Wheeler-DeWitt-like equation for a global state. The…

量子物理 · 物理学 2019-02-19 N. L. Diaz , R. Rossignoli

Reservoir computing (RC), a neural network designed for temporal data, enables efficient computation with low-cost training and direct physical implementation. Recently, quantum RC has opened new possibilities for conventional RC and…

介观与纳米尺度物理 · 物理学 2025-11-05 Yecheng Jing , Pengfei Wang , Shuai Zhang , Zhoujie Zeng , Shi-Jun Liang , Wei Chen

The dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators. Here, I exhibit a compact expression for the time reversal of a quantum operation, which is closely analogous to…

量子物理 · 物理学 2008-04-03 Gavin E. Crooks

We study the dynamics of a two-level quantum system interacting with an external electromagnetic field periodic and quasiperiodic in time. The quantum evolution is described exactly by the classical equations of motion of a gyromagnet in a…

量子物理 · 物理学 2009-11-11 Renato M. Angelo , Walter F. Wreszinski

One of the most fundamental open problems in physics is the unification of general relativity and quantum theory to a theory of quantum gravity. An aspect that might become relevant in such a theory is that the dynamical nature of causal…

量子物理 · 物理学 2022-03-14 Veronika Baumann , Marius Krumm , Philippe Allard Guérin , Časlav Brukner

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.…

广义相对论与量子宇宙学 · 物理学 2011-01-11 Hwee Kuan Lee

Closed Timelike Curves are relativistically valid objects allowing time travel to the past. Treating them as computational objects opens the door to a wide range of results which cannot be achieved using non relativistic quantum mechanics.…

量子物理 · 物理学 2019-01-25 Soumik Ghosh , Arnab Adhikary , Goutam Paul

Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein's field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime…

Closed timelike curves are striking predictions of general relativity allowing for time-travel. They are afflicted by notorious causality issues (e.g. grandfather's paradox). Quantum models where a qubit travels back in time solve these…

The concept of space-evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. The basic idea involves exchanging the roles of space and time, evolving the system using a space transfer matrix…

量子物理 · 物理学 2023-11-03 Alessandro Foligno , Tianci Zhou , Bruno Bertini