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Formal definition of the reference frame is given. This definition is valid for nonrelativistic and relativistic cases. Proposed definition allows using wide classes of reference frames without restriction to inertial, uniformly accelerated…

Classical Physics · Physics 2014-03-10 Oleg Igorevich Drivotin

We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular…

Mathematical Physics · Physics 2013-02-19 Andreas Raab

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · Computer Science 2016-08-31 Shuly Wintner , Nissim Francez

This paper is an introduction to diagrammatic methods for representing quantum processes and quantum computing. We review basic notions for quantum information and quantum computing. We discuss topological diagrams and some issues about…

Quantum Physics · Physics 2015-06-19 Louis H. Kauffman , Samuel J. Lomonaco

We introduce the concept of quantum field tomography, the efficient and reliable reconstruction of unknown quantum fields based on data of correlation functions. At the basis of the analysis is the concept of continuous matrix product…

Quantum Physics · Physics 2015-06-22 A. Steffens , C. A. Riofrío , R. Hübener , J. Eisert

We consider the dynamics of a quantum directional reference frame undergoing repeated interactions. We first describe how a precise sequence of measurement outcomes affects the reference frame, looking at both the case that the measurement…

Quantum Physics · Physics 2010-10-12 Mehdi Ahmadi , David Jennings , Terry Rudolph

We propose a novel and efficient, custom frame synchronization architecture aimed at rapid deployment on any hardware platform. Frame synchronization is the process of discerning valid data frames from an incoming transmission and in this…

Signal Processing · Electrical Eng. & Systems 2024-04-30 Dimitris Nikolaidis

We define a Frame of reference as a two ingredients concept: A meta-rigid motion, which is a generalization of a Born motion, and a chorodesic synchronization, which is an adapted foliation. At the end of the line we uncover a low-level…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ll. Bel

In the study of quantum computation, data is represented in terms of linear operators which form a generalized model of probability, and computations are most commonly described as products of unitary transformations, which are the…

Quantum Physics · Physics 2008-12-16 Jonathan Robert Niel de Beaudrap

This paper proposes SCALES, a general framework that translates well-established fairness principles into a common representation based on the Constraint Markov Decision Process (CMDP). With the help of causal language, our framework can…

Machine Learning · Computer Science 2022-09-23 Sreejith Balakrishnan , Jianxin Bi , Harold Soh

This work is based on the field of reference frames based on quantum representations of real and complex numbers described in other work. Here frame domains are expanded to include space and time lattices. Strings of qukits are described as…

Quantum Physics · Physics 2009-11-10 Paul Benioff

Quantum field theory currently has a single standard mathematical characterization (the Standard Model), but no single accepted conceptual framework to interpret the mathematics. Many of these conceptualizations rely on intuitive concepts…

General Physics · Physics 2023-12-25 Christopher Thron

The Page-Wootters formalism is a proposal for reconciling the background-dependent, quantum-mechanical notion of time with the background independence of general relativity. However, the physical meaning of this framework remains debated.…

Quantum Physics · Physics 2025-02-05 Ladina Hausmann , Alexander Schmidhuber , Esteban Castro-Ruiz

Effective resource allocation in higher education depends on reliable enrolment forecasts, yet institutional planners frequently face data series disrupted by structural shifts. This paper investigates whether zero-shot Time Series…

Artificial Intelligence · Computer Science 2026-04-28 Jittarin Jetwiriyanon , Teo Susnjak , Surangika Ranathunga

Accurate prediction of energy and forces for 3D molecular systems is one of fundamental challenges at the core of AI for Science applications. Many powerful and data-efficient neural networks predict molecular energies and forces from…

Chemical Physics · Physics 2026-04-23 Ali Mollahosseini , Mohammed Haroon Dupty , Wee Sun Lee

We examine the emergence of dynamical memory effects in quantum processes having indefinite time direction and causal order. In particular, we focus on the class of phase-covariant qubit channels, which encompasses some of the most…

Quantum Physics · Physics 2024-07-23 Göktuğ Karpat , Barış Çakmak

Employing internal quantum systems as reference frames is a crucial concept in quantum gravity, gauge theories and quantum foundations whenever external relata are unavailable. In this work, we give a comprehensive and self-contained…

Quantum Physics · Physics 2022-11-30 Philipp A. Hoehn , Marius Krumm , Markus P. Mueller

Frame permutation quantization (FPQ) is a new vector quantization technique using finite frames. In FPQ, a vector is encoded using a permutation source code to quantize its frame expansion. This means that the encoding is a partial ordering…

Information Theory · Computer Science 2015-03-24 Ha Q. Nguyen , Vivek K Goyal , Lav R. Varshney

In quantum causality and quantum information, there is a vast landscape of abstract quantum protocols permitting cyclic or non-acyclic causal structures between operations, including frameworks for indefinite causal order and higher-order…

Quantum Physics · Physics 2026-05-12 Matthias Salzger , V. Vilasini