# Quantum State Diffusion: from Foundations to Applications

@article{Gisin1997QuantumSD, title={Quantum State Diffusion: from Foundations to Applications}, author={Nicolas Gisin and Ian Colin Percival}, journal={arXiv: Quantum Physics}, year={1997} }

Deeper insight leads to better practice. We show how the study of the foundations of quantum mechanics has led to new pictures of open systems and to a method of computation which is practical and can be used where others cannot. We illustrate the power of the new method by a series of pictures that show the emergence of classical features in a quantum world. We compare the development of quantum mechanics and of the theory of (biological) evolution.

## 4 Citations

Decomposing generalized measurements into continuous stochastic processes

- Physics
- 2007

One of the broadest concepts of measurement in quantum theory is the generalized measurement. Another paradigm of measurement--arising naturally in quantum optics, among other fields--is that of…

Non-Markovian dynamics of open quantum systems

- Physics
- 2016

This thesis is centred around the striking phenomenon of non-Markovianity which emanates from exact dynamical descriptions of open quantum systems. NonMarkovianity is associated with the existence of…

Bootstrap Universe from Self-Referential Noise

- Physics
- 1997

We further deconstruct Heraclitean Quantum Systems giving a model for a universe using pregeometric notions in which the end-game problem is overcome by means of self-referential noise. The model…

Self-Referential Noise and the Synthesis of Three-Dimensional Space

- Physics
- 1998

Generalising results from Gödel and Chaitin in mathematics suggest that self-referential systems contain intrinsic randomness. We argue that this is relevant to modelling the universe and show how…

## References

SHOWING 1-10 OF 50 REFERENCES

Wave-function approach to dissipative processes: are there quantum jumps?

- Physics
- 1992

In a recent Letter Dalibard and coworkers have presented an efficient method of computing the development of an open quantum system based on stochastic evolution of the state vector, in which quantum…

The quantum state diffusion picture of physical processes

- Physics
- 1993

In earlier papers the authors introduced a quantum state diffusion model for the evolution of an individual open quantum system and proved localization theorems based on this model. This paper shows…

Desiderata for a Modified Quantum Dynamics

- PhysicsPSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
- 1990

If quantum mechanics is interpreted as an objective, complete, physical theory, applying to macroscopic as well as microscopic systems, then the linearity of quantum dynamics gives rise to the…

Quantum state diffusion, localization and computation

- Physics
- 1995

Numerical simulation of individual open quantum systems has proven advantages over density operator computations. Quantum state diffusion with a moving basis (MQSD) provides a practical numerical…

Mixed classical-quantal representation for open quantum systems

- Physics
- 1995

For all but the simplest open quantum systems, quantum trajectory Monte Carlo methods, including quantum jump and quantum state diffusion (QSD) methods, have besides their intuitive insight into the…

Quantum stochastic processes as models for state vector reduction

- Mathematics
- 1988

An elementary introduction of quantum-state-valued Markovian stochastic processes (QSP) for N-state quantum systems is given. It is pointed out that a so-called master constraint must be fulfilled.…

The quantum-state diffusion model applied to open systems

- Mathematics
- 1992

A model of a quantum system interacting with its environment is proposed in which the system is represented by a state vector that satisfies a stochastic differential equation, derived from a density…

There are no quantum jumps, nor are there particles!

- Physics
- 1992

Abstract Quantum theory does not require the existence of discontinuities: neither in time (quantum jumps), nor in space (particles), nor in spacetime(quantum events). These apparent discontinuities…

Measurements continuous in time and a posteriori states in quantum mechanics

- Physics, Mathematics
- 1991

Measurements continuous in time have been consistently introduced in quantum mechanics and applications worked out, mainly in quantum optics. In this context a quantum filtering theory has been…

Philosophical Consequences of Quantum Theory Reflections on Bell's Theorem

- Mathematics
- 1989

From the beginning, the implications of quantum theory for our most general understanding of the world have been a matter of intense debate. Einstein argues that the theory had to be regarded as…