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'TelePOVM': More faces of teleportation

Tal Mor

Published Jan 1, 1996• 0 citations
OpenAlex

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 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.

Related papers

TelePOVM -- New Faces of Teleportation

Tal Mor

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.

arXiv:quant-ph/9608005•Aug 5, 1996•7 citations

Teleportation via generalized measurements, and conclusive teleportation

Tal Mor, Paweł Horodecki

In this work we show that teleportation is a special case of a generalized Einstein, Podolsky, Rosen (EPR) non-locality. Based on the connection between teleportation and generalized measurements we define conclusive teleportation. We show that perfect conclusive teleportation can be obtained with any pure entangled state, and it can be arbitrarily approached with a particular mixed state.

arXiv:quant-ph/9906039•Jun 14, 1999•16 citations

TelePOVM—A generalized quantum teleportation scheme

Gilles Brassard A, Paweł Horodecki, Tal Mor

In this paper, we show that quantum teleportation is a special case of a generalized Einstein-Podolsky-Rosen (EPR) nonlocality. On the basis of the connection between teleportation and generalized measurements, we define conclusive teleportation. We show that perfect conclusive teleportation can be obtained with any pure entangled state, and it can be arbitrarily approached with a particular mixed state.

IBM Journal of Research and Development•Jan 1, 2004•20 citations

Ensemble Teleportation

KRÜGER, Thomas

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.

•Mar 1, 2006•0 citations

On Classical Teleportation and Classical Nonlocality

Tal Mor

An interesting protocol for classical teleportation of an unknown classical state was recently suggested by Cohen, and by Gour and Meyer. In that protocol, Bob can sample from a probability distribution P that is given to Alice, even if Alice has absolutely no knowledge about P. Pursuing a similar line of thought, we suggest here a limited form of nonlocality - "classical nonlocality". Our nonlocality is the (somewhat limited) classical analogue of the Hughston-Jozsa-Wootters (HJW) quantum nonlocality. The HJW nonlocality tells us how, for a given density matrix rho, Alice can generate any rho-ensemble on the North Star. This is done using surprisingly few resources - one shared entangled state (prepared in advance), one generalized quantum measurement, and no communication. Similarly, our classical nonlocality presents how, for a given probability distribution P, Alice can generate any P-ensemble on the North Star, using only one correlated state (prepared in advance), one (generalized) classical measurement, and no communication. It is important to clarify that while the classical teleportation and the classical non-locality protocols are probably rather insignificant from a classical information processing point of view, they significantly contribute to our understanding of what exactly is quantum in their well established and highly famous quantum analogues.

arXiv:quant-ph/0511172•Nov 17, 2005•2 citations

Ensemble Teleportation

KRÜGER, Thomas

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.

•Mar 1, 2006•0 citations
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 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.
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.
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.
An interesting protocol for classical teleportation of an unknown classical state was recently suggested by Cohen, and by Gour and Meyer. In that protocol, Bob can sample from a probability distribution P that is given to Alice, even if Alice has absolutely no knowledge about P. Pursuing a similar line of thought, we suggest here a limited form of nonlocality - "classical nonlocality". Our nonlocality is the (somewhat limited) classical analogue of the Hughston-Jozsa-Wootters (HJW) quantum nonlocality. The HJW nonlocality tells us how, for a given density matrix rho, Alice can generate any rho-ensemble on the North Star. This is done using surprisingly few resources - one shared entangled state (prepared in advance), one generalized quantum measurement, and no communication. Similarly, our classical nonlocality presents how, for a given probability distribution P, Alice can generate any P-ensemble on the North Star, using only one correlated state (prepared in advance), one (generalized) classical measurement, and no communication. It is important to clarify that while the classical teleportation and the classical non-locality protocols are probably rather insignificant from a classical information processing point of view, they significantly contribute to our understanding of what exactly is quantum in their well established and highly famous quantum analogues.
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.