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arXiv:quant-ph/9608005

TelePOVM -- New Faces of Teleportation

Tal Mor

Published Aug 5, 1996• 7 citations
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Abstract

We show two new aspects of teleportation based on generalized measurements: I. We present an alternative approach to teleportation based on ``generating $ρ$-ensembles at spacetime separation''; This approach provides a better understanding of teleportation. II. We define the concept of {\em conclusive teleportation} and we show how to teleport a quantum state using any pure entangled state; we show how to use the conclusive teleportation as a criterion for non-locality.

DOI
10.48550/arxiv.quant-ph/9608005

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We show two new aspects of teleportation based on generalized measurements: I. We present an alternative approach to teleportation based on ``generating ρρρ-ensembles at spacetime separation''; This approach provides a better understanding of teleportation. II. We define the concept of {\em conclusive teleportation} and we show how to teleport a quantum state using any pure entangled state; we show how to use the conclusive teleportation as a criterion for non-locality.
In this thesis we present some contributions to a better understanding of quantum entanglement and its applications.With the purpose of obtaining a classification of the arbitrary pure quantum states as separable or entangled, a separability criterion is presented.This criterion is based on an homologic-geometric interpretation which allowed us to formalize some conclusions on the entanglement quantification of arbitrary pure states with three qubits.From this interpretation, it was possible to associate a description of the kets' content of an arbitrary pure state with the concepts of the classical coding theory.Based on this association, we propose a simplified form to determine a mathematical description of arbitrary quantum states satisfying the maximum global entanglement.From the concepts of coding theory we considered the states of maximum global entanglement with respect to its inherent error protection.In this context, we present a new class of states satisfying all the previous properties and which were not known in the open literature.
The possibility of teleportation is by sure the most interesting consequence of quantum non-separability. So far, however, teleportation schemes have been formulated by use of state vectors and considering individual entities only. In the present article the feasibility of teleportation is examined on the basis of the rigorous ensemble interpretation of quantum mechanics (not to be confused with a mere treatment of noisy EPR pairs) leading to results which are unexpected from the usual point of view.
The surprising aspects of quantum information are due to two distinctly non-classical features of the quantum world: first, different quantum states need not be orthogonal and, second, quantum states may be entangled. Non-orthogonality leads to the blurring of classical distinctions. On the other hand, entanglement leads via non-locality to teleportation and other ``entanglement-assisted'' forms of communication that go beyond what is classically possible. In this article we attempt to understand these new possibilities via an analysis of the significance of entanglement for the basic physical concepts of a ``particle'' and a ``localized physical system''. Classical particles can be individuated on the basis of qualitative differences in their sets of properties. But in entangled states the ``particle labels'' of the quantum formalism usually do not pick out such sets of individuating particle properties. It is sometimes nevertheless possible to think in terms of individual particles, which may be localized; but we argue that in general the structure of quantum mechanics is at odds with such a particle interpretation. This finally leads us to the conclusion that quantum mechanics is best seen as not belonging to the category of space-time theories, in which physical quantities are functions on space-time points. The resulting picture of the quantum world is relevant for our understanding of the way in which quantum theory is non-local, and it sheds light on the novel aspects of quantum information.