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Publications Influence

Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics

- Alberto Barchielli, G. Lupieri
- Mathematics
- 1 September 1985

The physical idea of a continual observation on a quantum system has been recently formalized by means of the concept of operation valued stochastic process (OVSP). In this article, it is shown how… Expand

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Convolution semigroups in quantum probability and quantum stochastic calculus

- Alberto Barchielli, G. Lupieri
- Mathematics
- 1989

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Quantum stochastic models of two-level atoms and electromagnetic cross sections

- Alberto Barchielli, G. Lupieri
- Physics
- 16 April 1999

Quantum stochastic differential equations have been used to describe the dynamics of an atom interacting with the electromagnetic field via absorption/emission processes. Here, by using the full… Expand

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Instruments and mutual entropies in quantum information

- Alberto Barchielli, G. Lupieri
- Mathematics, Physics
- 15 December 2004

General quantum measurements are represented by instruments. In this paper the mathematical formalization is given of the idea that an instrument is a channel which accepts a quantum state as input… Expand

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Instruments and channels in quantum information theory

- Alberto Barchielli, G. Lupieri
- Mathematics, Physics
- 3 September 2004

While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a… Expand

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Quantum measurements and entropic bounds on information transmission

- Alberto Barchielli, G. Lupieri
- Mathematics, Physics
- Quantum Inf. Comput.
- 12 May 2005

TLDR

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An analogue of Hunt's representation theorem in quantum probability

- Alberto Barchielli, A. Holevo, G. Lupieri
- Mathematics
- 1 April 1993

In quantum mechanics certain operator-valued measures are introduced, called instruments, which are an analogue of the probability measures of classical probability theory. As in the classical case,… Expand

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A quantum analogue of Hunt's representation theorem for the generator of convolution semigroups on Lie groups

- Alberto Barchielli, G. Lupieri
- Mathematics
- 1 June 1991

SummaryIn quantum mechanics certain operator-valued measures are introduced, called instruments, which are an analogue of the probability measures of classical probability theory. As in the classical… Expand

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