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Quantum tomography via compressed sensing: error bounds, sample complexity and... estimators
Quantum tomography via compressed sensing: error bounds, sample complexity and... estimators

... Compressed tomography provides a solution that meets all these practical requirements [17, 18]. It requires measurements of two-outcome Pauli observables, which are feasible in many experimental systems. In total, it uses a random subset of m = O(r d log d) Pauli observables, which is just slightly ...
on the influence of sample preparation on the re
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On the foundations of the theory of evolution
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... extensively on the limited variability of protein folds. Lately, with the upcoming of new experimental techniques and disciplines as Evo-Devo, more and more similar critiques are given paying attention mainly to the ‘lawlike’ developmental constraints on variation and evolution (Arthur 2004). It is ...
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Topological structures in string theory

Reply to criticism of the ‘Orch OR qubit’ – ‘Orchestrated... reduction’ is scientifically justified
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history of quantum computing

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... approximation of only zero- or two-spinon states reproduces the main features of the spectrum of such quasi-1D frustrated antiferromagnets. Note that the two-spinon approximation is not a low-energy one (unlike the familiar and powerful ‘bosonization’ technique) as it includes spinons with energies ...
Photoemission studies of quantum well states in thin films
Photoemission studies of quantum well states in thin films

Phys. Rev. Lett. 103, 265302
Phys. Rev. Lett. 103, 265302

Quantum field theory and the Jones polynomial
Quantum field theory and the Jones polynomial

Entangled State Quantum Cryptography
Entangled State Quantum Cryptography

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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