Causal space-time paths of individual distinguishable particle motions inN-body quantum systems: Elimination of negative probabilities

1985 ◽  
Vol 42 (6) ◽  
pp. 285-294 ◽  
Author(s):  
N. Cufaro Petroni ◽  
C. Dewdney ◽  
P. Holland ◽  
A. Kyprianidis ◽  
J. P. Vigier
Keyword(s):  
Quantum Systems ◽  
Space Time ◽  
Distinguishable Particle

scholarly journals Quantum Shannon theory with superpositions of trajectories

2019 ◽  
Vol 475 (2225) ◽  
pp. 20180903 ◽  
Author(s):  
Giulio Chiribella ◽  
Hlér Kristjánsson
Keyword(s):  
Transmission Lines ◽  
Internal State ◽  
Quantum Systems ◽  
Space Time ◽  
Shannon Theory ◽  
Classical Systems ◽  
Theory Of Information ◽  
Quantum Shannon Theory ◽  
Quantum Counterpart ◽  
Multiple Transmission

Shannon's theory of information was built on the assumption that the information carriers were classical systems. Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are quantum systems. Traditionally, quantum Shannon theory has focused on scenarios where the internal state of the information carriers is quantum, while their trajectory is classical. Here we propose a second level of quantization where both the information and its propagation in space–time is treated quantum mechanically. The framework is illustrated with a number of examples, showcasing some of the counterintuitive phenomena taking place when information travels simultaneously through multiple transmission lines.

Superresolution through space–time control of two-level quantum systems

1997 ◽  
Vol 14 (3) ◽  
pp. 503 ◽  
Author(s):  
Scott A. Basinger ◽  
David J. Brady ◽  
Eric Michielssen
Keyword(s):  
Quantum Systems ◽  
Space Time ◽  
Time Control

scholarly journals A systematic interpolatory method for an impurity in a one-dimensional fermionic background

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Erik Jonathan Lindgren ◽  
Rafael Barfknecht ◽  
Nikolaj Zinner
Keyword(s):  
Numerical Method ◽  
Quantum Systems ◽  
Trapping Potential ◽  
Matrix Product ◽  
Contact Potential ◽  
One Dimensional ◽  
Matrix Product States ◽  
Distinguishable Particle ◽  
Analytical Result ◽  
Infinite Repulsion

We explore a new numerical method for studying one-dimensional quantum systems in a trapping potential. We focus on the setup of an impurity in a fermionic background, where a single distinguishable particle interacts through a contact potential with a number of identical fermions. We can accurately describe this system, for various particle numbers, different trapping potentials and arbitrary finite repulsion, by constructing a truncated basis containing states at both zero and infinite repulsion. The results are compared with matrix product states methods and with the analytical result for two particles in a harmonic well.

Computational Space, Time and Quantum Mechanics

2010 ◽  
pp. 253-279 ◽  
Author(s):  
Michael Nicolaidis
Keyword(s):  
Special Relativity ◽  
Quantum Systems ◽  
Space Time ◽  
Quantum Superposition ◽  
Inertial Frames ◽  
Space Time Structure ◽  
The Universe ◽  
Ultimate Limit ◽  
Philosophical Questions ◽  
Non Locality

We start this chapter by introducing an ultimate limit of knowledge: as observers that are part of the universe we have no access on information concerning the fundamental nature of the elementary entities (particles) composing the universe but only on information concerning their behaviour. Then, we use this limit to develop a vision of the universe in which the behaviour of particles is the result of a computation-like process (not in the restricted sense of Turing machine) performed by meta-objects and in which space and time are also engendered by this computation. In this vision, the structure of space-time (e.g. Galilean, Lorentzian, …) is determined by the form of the laws of interactions, important philosophical questions related with the space-time structure of special relativity are resolved, the contradiction between the non-locality of quantum systems and the reversal of the temporal order of events (encountered in special relativity when we change inertial frames) is conciliated, and the “paradoxes” related with the “strange” behaviour of quantum systems (non-determinism, quantum superposition, non-locality) are resolved.

scholarly journals QUANTUM FIELD THEORY FROM FIRST PRINCIPLES

2020 ◽  
Author(s):  
Paolo Perinotti
Keyword(s):  
Quantum Theory ◽  
Cellular Automata ◽  
Hilbert Spaces ◽  
First Principles ◽  
Relativistic Quantum ◽  
Quantum Systems ◽  
Space Time ◽  
Physical Systems ◽  
Minkowski Space Time ◽  
Physical Laws

The mathematical description of quantum systems univocally identies their nature. In other words we treat a system as quantum if we describe its behaviour adopting Hilbert spaces and structures thereof, as prescribed by the postulates of quantum theory. The choice of using quantum systems as the elementary systems of physics can be justied in terms of informational principles, thanks to results of the last decade. Such results come as the conclusion of a research program that lasted almost one century, with the aim of reformulating quantum theory in terms of operational principles. This achievement now poses a new challenge, that we face here. If the systems of quantum theory are thought of as elementary information carriers in the rst place, rather than elementary constituents of matter, and their connections are logical connections within a given algorithm, rather than space-time relations, then we need to nd the origin of mechanical concepts—that characterise quantum mechanics as a theory of physical systems. To this end,we will illustrate howphysical laws can be viewed as algorithms for the update of memory registers that make a physical system. Imposing the characteristic properties of physical laws to such an algorithm, i.e. homogeneity, reversibility and isotropy, we will show that the physical laws thus selected are particular algorithms known as cellular automata. Further assumptions regarding maximal simplicity of the algorithm lead to two cellular automata only, that in a suitable regime can be described by Weyl’s dierential equations, lying at the basis of the dynamics of relativistic quantum elds. We will nally discuss how the same cellular automaton can give rise to both Fermionic eld dynamics and to Maxwell’s equations, that rule the dynamics of the electromagnetic eld. We will conclude reviewing the discussion of the relativity principle, that must be suitably adapted to the scenario where space-time is not an elementary notion, through the denition of a change of inertial reference frame, and whose formulation leads to the recovery of the symmetry of Minkowski space-time, identied with Poincar´e’s group. Space-time thus emerges as one of the manifestations of physical laws, rather than the background where they occur, and its features are determined by the dynamics of systems, necessarily equipped with dierential equations that express it. In brief, there is no space-time unless an evolution rule requires it.

The space-time structure of quantum systems in external fields

1989 ◽  
Vol 19 (8) ◽  
pp. 985-998 ◽  
Author(s):  
M. Klüppel ◽  
H. Neumann
Keyword(s):  
Quantum Systems ◽  
Space Time ◽  
Time Structure ◽  
External Fields ◽  
Space Time Structure

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time

Space-Time Block Coding for Wireless Communications

2003 ◽  
Author(s):  
Erik G. Larsson ◽  
Petre Stoica
Keyword(s):  
Wireless Communications ◽  
Space Time ◽  
Time Block ◽  
Block Coding ◽  
Space Time Block Coding

Spinors and Space-Time

1984 ◽  
Author(s):  
Roger Penrose ◽  
Wolfgang Rindler
Keyword(s):  
Space Time

Dynamics of One-Dimensional Quantum Systems

2009 ◽  
Author(s):  
Yoshio Kuramoto ◽  
Yusuke Kato
Keyword(s):  
Quantum Systems ◽  
One Dimensional
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