Concentration of Measure for Quantum States with a Fixed Expectation Value

Given some observable H on a finite-dimensional quantum system, we investigate the typical properties of random state vectors that have a fixed expectation value with respect to H . Under some conditions on the spectrum, we prove that this manifold of quantum states shows a concentration of measure...

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Bibliographic Details
Published in:	Communications in mathematical physics Vol. 303; no. 3; pp. 785 - 824
Main Authors:	Müller, Markus P., Gross, David, Eisert, Jens
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.05.2011 Springer
Subjects:	Classical and Quantum Gravitation Complex Systems Exact sciences and technology Mathematical analysis Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Measure and integration Operator theory Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Real functions Relativity Theory Sciences and techniques of general use Theoretical Reduce Density Matrix Gibbs State Isoperimetric Inequality Quantum State Pure Quantum State Mathematical manifolds Gauss method Continuous function Spheres Continuous set Quantum mechanics Distribution function Quantum information Proof theory Statistical mechanics Mathematical physics Quantum theory Information theory
ISSN:	0010-3616, 1432-0916
Online Access:	Get full text
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