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Quantum Money from Hidden Subspaces
Quantum Money from Hidden Subspaces

... Aaronson [3] gave the first formal treatment of public-key quantum money, as well as related notions such as copy-protected quantum software. He proved that there exists a quantum oracle relative to which secure public-key quantum money is possible. Unfortunately, that result, though already involve ...
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... the last printed page of this book. The following papers have been included in this volume with the permission of the copyright owners: "'Relative State' Formulation of Quantum Mechanics" by Hugh Everett III, and "Assessment of Everett's 'Relative State' Formulation of Quantum Theory," by John A. Wh ...
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... models (including, for example, models of quasi-crystals), the FMM approach has two fundamental advantages: it is much more elementary, at least for the case of lattice models, and leads to the strongest physically expected results for random systems. It is surprising that more than two decades pass ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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