Entropy, information and quantum measurements
نویسندگان
چکیده
منابع مشابه
Quantum Measurements, Information and Entropy Production
Thermodynamics has withstood the onslaught of the two revolutions in physical theory that have occurred during this century; i.e. relativity and quantum mechanics. Yet the microscopic basis of of thermodynamic laws remains unclear. What appears to be time reversal symmetry on the microscopic scale turns into time reversal asymmetry on the macroscopic scale. Our entire intuition concerning what ...
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The theory of measurements continuous in time in quantum mechanics (quantum continual measurements) has been formulated by using the notions of instrument, positive operator valued (POV) measure, etc. [1, 2], by using quantum stochastic differential equations [3, 4] and by using classical stochastic differential equations (SDE’s) for vectors in Hilbert spaces or for trace-class operators [5, 6,...
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Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In view of this, we propose a new measure for the informational entropy of a quantum state that includes information in the pure states and the thermodynamic entr...
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We review some recently established connections between the mathematics of black hole entropy in string theory and that of multipartite entanglement in quantum information theory. In the case of N = 2 black holes and the entanglement of three qubits, the quartic [SL(2)] 3 invariant, Cayley's hyperdeterminant, provides both the black hole entropy and the measure of tripartite entanglement. In th...
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Quantum-mechanical entropies of position and momentum operators in a given state are shown to be reasonable and sensitive measures for squeezing of quantum fluctuations. It is shown to be true not only for states having Gaussian wave functions but also for more general, both pure and mixed, quantum states. A simple proof that the squeezing exhibited by the variance is always accompanied by a co...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1973
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01646743