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Commun. Math. Phys. 227, 605 (2002).
Commun. Math. Phys. 227, 605 (2002).

...  (with some additional structures detailed below) a complex vector space V () and to a diffeomorphism of the surface (preserving structures) a linear map of V (). In the cases considered here V () always has a positive definite Hermitian inner product  , h and the induced linear maps preserve ...
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PHYS 415 Introduction to Nuclear and Particle Physics

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... If we look at the ideas of David Bohm [1], [4] we find that, his main purpose to develop the so-called Bohmian interpretation was to prove that the von Newmann’s argument about the impossibility of describing the current quantum mechanics on the basis of ’Hidden variables’ is wrong. He realized that ...
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... Till now, almost all attention has been focussed on discussing the state of a quantum system. As we have seen, this is most succinctly done by treating the package of information that defines a state as if it were a vector in an abstract Hilbert space. Doing so provides the mathematical machinery th ...
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this essay - u.arizona.edu
this essay - u.arizona.edu

... ‘looks like’ in that measurement set-up. He says similar things elsewhere (p.92, p.149, p.167, pp.179-80, p. 290). This deceptively simple formulation admits of several interpretations of varying credibility. In my attempt to cover common ground I first interpret it in two ways that convey something ...
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THE QUANTUM COORDINATE RING OF THE SPECIAL LINEAR
THE QUANTUM COORDINATE RING OF THE SPECIAL LINEAR

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Quantum teleportation



Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).
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