# Interaction between classical and quantum systems; a new approach to quantum measurement. II. Theoretical considerations

@article{Sherry1979InteractionBC, title={Interaction between classical and quantum systems; a new approach to quantum measurement. II. Theoretical considerations}, author={T. N. Sherry and E. C. George Sudarshan}, journal={Physical Review D}, year={1979}, volume={20}, pages={857-868} }

A new approach to the quantum measurement process is developed further. In this approach, the apparatus is treated as a classical system; however, the classical apparatus is directly coupled to the quantum system. A principle of integrity, which requires that the observables of the classical apparatus retain their classical integrity, is introduced. The constraints that this Principle places upon the coupling between the apparatus and the quantum system are examined. A model loosely based on…

## 28 Citations

### Measurement of a quantum system with a classical apparatus using ensembles on configuration space

- PhysicsJournal of Physics A: Mathematical and Theoretical
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Finding a physically consistent approach to modeling interactions between classical and quantum systems is a highly nontrivial task. While many proposals based on various mathematical formalisms have…

### Interacting classical and quantum ensembles

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A consistent description of interactions between classical and quantum systems is relevant to quantum measurement theory and to calculations in quantum chemistry and quantum gravity. A solution is…

### Classical Systems, Standard Quantum Systems, and Mixed Quantum Systems in Hilbert Space

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- 1998

Traditionally, there has been a clear distinction between classical systems and quantum systems, particularly in the mathematical theories used to describe them. In our recent work on macroscopic…

### Witnesses of non-classicality for simulated hybrid quantum systems

- PhysicsJournal of Physics Communications
- 2020

The task of testing whether quantum theory applies to all physical systems and all scales requires considering situations where a quantum probe interacts with another system that need not obey…

### Linear dynamics of quantum-classical hybrids

- Physics
- 2012

A formulation of quantum-classical hybrid dynamics is presented, which concerns the direct coupling of classical and quantum mechanical degrees of freedom. It is of interest for applications in…

### Four questions for quantum-classical hybrid theory

- Physics
- 2012

Four questions are discussed which may be addressed to any proposal of a quantum-classical hybrid theory which concerns the direct coupling of classical and quantum mechanical degrees of freedom. In…

### PROLIFERATION OF OBSERVABLES AND MEASUREMENT IN QUANTUM-CLASSICAL HYBRIDS

- Physics
- 2012

Following a review of quantum-classical hybrid dynamics, we discuss the ensuing proliferation of observables and relate it to measurements of (would-be) quantum mechanical degrees of freedom…

### Consistency of Hybrid Quantum-Classical Ensembles

- Physics
- 2016

The formalism of ensembles on configuration space allows for a general description of interactions between quantum and classical ensembles. In this chapter, we consider such hybrid ensembles and…

### Quantum-classical hybrid dynamics – a summary

- Physics
- 2013

A summary of a recently proposed description of quantum-classical hybrids is presented, which concerns quantum and classical degrees of freedom of a composite object that interact directly with each…