## References

SHOWING 1-10 OF 18 REFERENCES

### An Introduction to Quantum Filtering

- Mathematics, PhysicsSIAM J. Control. Optim.
- 2007

An introduction to quantum probability theory is given, focusing on the spectral theorem and the conditional expectation as a least squares estimate, and culminating in the construction of Wiener and Poisson processes on the Fock space.

### Theoretical Concepts in Quantum Probability; Quantum Markov Processes

- Physics
- 1988

An introduction is given to some fundamental concepts in quantum probability, such as (quantum) probability spaces and (quantum) stochastic processes. Recent results are described relating to the…

### Continuous quantum jumps and infinite-dimensional stochastic equations

- Mathematics
- 1991

From a mathematical point of view, a class of infinite‐dimensional stochastic differential equations describing continuous spontaneous localization in quantum dynamics will be studied. Existence and…

### Quantum Ito's formula and stochastic evolutions

- Mathematics
- 1984

Using only the Boson canonical commutation relations and the Riemann-Lebesgue integral we construct a simple theory of stochastic integrals and differentials with respect to the basic field operator…

### Models and Feedback Stabilization of Open Quantum Systems

- PhysicsArXiv
- 2014

The structure of the Markovian models including such back-action are presented and two stabilization methods are sketched: measurement-based feedback where an open quantum system is stabilized by a classical controller; coherent or autonomous feedback where a quantum systems is stabilizedBy a quantum controller with decoherence (reservoir engineering).

### Quantum Feedback Networks: Hamiltonian Formulation

- Mathematics, Computer Science
- 2009

The model is non-Markovian for finite time delays, but in the limit where these delays vanish the model is recovered a Markov model and the rules for introducing feedback into arbitrary quantum networks are deduced.

### An Introduction to Quantum Stochastic Calculus

- Mathematics
- 1992

"Elegantly written, with obvious appreciation for fine points of higher mathematics...most notable is [the] author's effort to weave classical probability theory into [a] quantum framework." - The…

### Quantum Measurement and Control

- Physics
- 2010

In the last two decades there has been an enormous progress in the experimental investigation of single quantum systems. This progress covers fields such as quantum optics, quantum computation,…

### Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation.

- PhysicsPhysical review. A, General physics
- 1985

A formulation of quantum damping theory is developed in which the explicit nature of inputs from a heat bath, and of outputs into it, is taken into account, and the formal relationship between quantum Langevin equations and quantum stochastic differential equations (SDE's) is established.

### The Series Product and Its Application to Quantum Feedforward and Feedback Networks

- Computer ScienceIEEE Transactions on Automatic Control
- 2009

These methods build on and generalize existing methods for series connections in quantum networks by allowing for more general interfaces, and by introducing an efficient algebraic tool, the series product.