# QUANTUM CAUSALITY, DECOHERENCE, TRAJECTORIES AND INFORMATION

@inproceedings{Belavkin2005QUANTUMCD, title={QUANTUM CAUSALITY, DECOHERENCE, TRAJECTORIES AND INFORMATION}, author={Viacheslav P. Belavkin}, year={2005} }

A history of the discovery of “new” quantum mechanics and the paradoxes of its probabilistic interpretation are briefly reviewed from the modern point of view of quantum probability and information. The modern quantum theory, which has been developed during the last 20 years for treatment of quantum open systems including quantum noise, decoherence, quantum diffusions and spontaneous jumps occurring under continuous in time observation, is not yet a part of the standard curriculum of quantum…

## 13 Citations

### Entangled States and Quantum Causality Threshold in the General Theory of Relativity

- Physics
- 2005

This article shows, Synge-Weber's classical problem statement about two particles interacting by a signal can be reduced to the case where the same particle is located in two different points A and B…

### Quantum Dynamics, Minkowski-Hilbert space, and A Quantum Stochastic Duhamel Principle

- PhysicsArXiv
- 2014

A beautiful, but not well understood theory of mathematical physics that understands that both deterministic and stochastic dynamics may be `unraveled' in a second-quantized Minkowski space is presented.

### Cosmic Ray Cherenkov Detector

- Mathematics
- 2010

In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein's fourdimensional pseudo-Riemannian differentiable manifold in…

### Quantum Mechanical View of Mathematical Statistics

- Physics
- 2003

Multiparametric statistical model providing stable reconstruction of parameters by observations is considered. The only general method of this kind is the root model based on the representation of…

### Quantum mechanical view of mathematical statistics

- MathematicsQuantum Informatics
- 2006

Multiparametric statistical model providing stable reconstruction of parameters by observations is considered. The only general method of this kind is the root model based on the representation of…

### General Probabilistic Framework of Randomness

- Computer Science, Mathematics
- 2003

A new mathematical framework for the probabilistic description of an experiment upon a system of any type in terms of initial information representing this system is introduced and it is proved that positive bounded linear mappings on the Banach space of trace class operators, arising in the description of experiments upon a quantum system, are completely positive.

### Schr\"odinger's Cat

- Physics
- 2021

. The following article began as a contribution to an unﬁnished pa-per [1], speciﬁcally with regards to constructing a model of the Geiger Counter. What is presented here is essentially an example of…

### Posterior quantum dynamics for a continuous diffusion observation of a coherent channel

- Physics
- 2012

We present the Belavkin filtering equation for the intense balanced heterodyne detection in a unitary model of an indirect observation. The measuring apparatus modelled by a Bose field is initially…

### Neutrosophic Methods in General Relativity

- Philosophy
- 2005

In this work the authors apply concepts of Neutrosophic Logic to the General Theory of Relativity to obtain a generalisation of Einstein's fourdimensional pseudo-Riemannian differentiable manifold in…

### Quantum Causality Threshold and Paradoxes

- Philosophy
- 2009

In this paper we consider two entangled particles and study all the possibilities: when both are immobile, or one of them is immobile, or both are moving in different directions, or one of them is…

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