Concentration of measure for quantum states with a fixed expectation value
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Publication:535182
DOI10.1007/s00220-011-1205-1zbMath1261.81014arXiv1003.4982OpenAlexW3099321456WikidataQ57637228 ScholiaQ57637228MaRDI QIDQ535182
Markus P. Müller, Jens Eisert, David J. Gross
Publication date: 11 May 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.4982
Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Quantum state spaces, operational and probabilistic concepts (81P16)
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Cites Work
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- Geometry of reflective submanifolds in Riemannian symmetric spaces
- Aspects of generic entanglement
- Quantum state merging and negative information
- Measure concentration in optimization
- Global versus local asymptotic theories of finite-dimensional normed spaces
- Randomizing quantum states: constructions and applications
- Random quantum correlations and density operator distributions
- Observable concentration of \(mm\)-spaces into spaces with doubling measures
- Induced measures in the space of mixed quantum states
- Short proof that the arithmetic mean is greater than the harmonic mean and its reverse inequality
- Stochastic and Integral Geometry
- Concentration of $1$-Lipschitz maps into an infinite dimensional $\ell ^p$-ball with the $\ell ^q$-distance function
- On the speed of fluctuations around thermodynamic equilibrium
- Quantum phase transitions without thermodynamic limits
- Geometry of Quantum States
- Elements of Information Theory
- Choosing a Point from the Surface of a Sphere
- Upper and Lower Probabilities Generated by a Random Closed Interval
- Solvable model of quantum microcanonical states
