Quantum Measurements and Decoherence

Mensky, Michael B.

doi:10.1007/978-94-015-9566-7

Cited by 114 publications

(83 citation statements)

References 12 publications

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“…Such a system can be formulated in a natural way by putting restrictions on the path integral providing the quantum propagator of the system. Such restricted path integrals (RPI) have been found to clarify many questions related to the continuous monitoring of a selected variable [2]. In particular, it can incorporate the unavoidable disturbing effect of the observation back on the system observed.…”

Section: Introductionmentioning

confidence: 99%

Quantum dissipative systems from theory of continuous measurements

Mensky

Stenholm

2003

Physics Letters A

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We apply the restricted-path-integral (RPI) theory of non-minimally disturbing continuous measurements for correct description of frictional Brownian motion. The resulting master equation is automatically of the Lindblad form, so that the difficulties typical of other approaches do not exist. In the special case of harmonic oscillator the known familiar master equation describing its frictionally driven Brownian motion is obtained. A thermal reservoir as a measuring environment is considered.

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Section: Introductionmentioning

confidence: 99%

Quantum dissipative systems from theory of continuous measurements

Mensky

Stenholm

2003

Physics Letters A

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“…This last remark could modify in a substantial manner, for instance, our symmetry group (expression (7)), and therefore also some of the corresponding conclusions. This relativistic analysis is currently an open problem [30], and will be addressed in a separate paper.…”

Section: Open Topicsmentioning

confidence: 99%

Group-Theoretical Structure of Quantum Measurements and Equivalence Principle

Quintana

2000

Mod. Phys. Lett. A

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The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an example, the case of a particle whose coordinates are being monitored. Employing the so-called restricted path integral formalism, it will be shown that the measuring process could always contain information concerning the gravitational field. In other words, it seems that with the presence of a measuring process the equivalence principle may, in some cases, break down. The relation between the breakdown of the equivalence principle, at quantum level, and the fact that the gravitational field could act always as a decoherence environment, is also analyzed. The phenomena of quantum beats of quantum optics will allow us to consider the possibility that the experimental corroboration of the equivalence principle at quantum level could be taken as an indirect evidence in favor of the quantization of the gravitational field, i.e., the quantum properties of this field avoid the violation of the equivalence principle.

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“…Some difficulties in their interpretation have been discussed [30]. Other novel solutions proposed include the restricted path-integral method [31] and a Grover search-based method [32].…”

Section: Introductionmentioning

confidence: 99%

A Computational Model for Quantum Measurement

Srikanth

2003

Quantum Information Processing

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Is the dynamical evolution of physical systems objectively a manifestation of information processing by the universe? We find that an affirmative answer has important consequences for the measurement problem. In particular, we calculate the amount of quantum information processing involved in the evolution of physical systems, assuming a finite degree of fine-graining of Hilbert space. This assumption is shown to imply that there is a finite capacity to sustain the immense entanglement that measurement entails. When this capacity is overwhelmed, the system's unitary evolution becomes computationally unstable and the system suffers an information transition ('collapse'). Classical behaviour arises from the rapid cycles of unitary evolution and information transition. Thus, the fine-graining of Hilbert space determines the location of the 'Heisenberg cut', the mesoscopic threshold separating the microscopic, quantum system from the macroscopic, classical environment. The model can be viewed as a probablistic complement to decoherence, that completes the measurement process by turning decohered improper mixtures of states into proper mixtures. It is shown to provide a natural resolution to the measurement problem and the basis problem.

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Quantum Measurements and Decoherence

Cited by 114 publications

References 12 publications

Quantum dissipative systems from theory of continuous measurements

Quantum dissipative systems from theory of continuous measurements

Group-Theoretical Structure of Quantum Measurements and Equivalence Principle

A Computational Model for Quantum Measurement

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