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Comment on “The quantum pigeonhole principle and the nature of
Comment on “The quantum pigeonhole principle and the nature of

... They argue that if the imaginary first measurement had resulted in the two particles being in different boxes, and that imaginary measurement had been followed by the genuine second measurement, then Φ could not have been obtained as the postselected state. Hence (according to the authors), particle ...
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Entangled State Quantum Cryptography

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How Classical Particles Emerge From the Quantum World

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Non-contextual inequalities and dimensionality Johan Ahrens

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Is a random state entangled ?

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Topological insulators driven by electron spin

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Necessary and Sufficient Conditions for an Quantum Mechanical Systems

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field concepts and the emergence of a holistic

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Geometric theory of nonlocal two-qubit operations Jun Zhang, Jiri Vala, Shankar Sastry,

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Presentism and Quantum Gravity

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Chemical reaction rates using the semiclassical

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QBism, the Perimeter of Quantum Bayesianism

... worries: The universe didn’t have to wait billions of years to collapse its first wave function—wave functions are not part of the observer-independent world. But this much of the solution is an elderly and somewhat ineffective antibody. Its presence is mostly a call for more clinical research. Luck ...
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Quantum computation with two-electron spins in

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(3+1)-TQFTs and topological insulators

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From the Mendeleev periodic table to particle physics and back to

progress in quantum foundations - Department of Computer Science
progress in quantum foundations - Department of Computer Science

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Distance between quantum states in the presence of initial qubit

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Heisenberg Spin Chains : from Quantum Groups to

The quantum phases of matter - Subir Sachdev
The quantum phases of matter - Subir Sachdev

... suppressed to yield a vanishing conductivity in the limit of zero temperature. For a simple example of a Mott insulator, consider electrons hopping in a single band on the triangular lattice. After the Coulomb repulsion localizes the electron charge, the Hilbert space can be truncated to the quantum ...
Why the Glove of Mathematics Fits the Hand of the Natural Sciences
Why the Glove of Mathematics Fits the Hand of the Natural Sciences

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Non-Gaussianity of quantum states: an experimental test on single

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Direct Characterization of Quantum Dynamics: General Theory

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Time Reversal and Unitary Symmetries

Basic Notions of Entropy and Entanglement
Basic Notions of Entropy and Entanglement

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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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