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QUANTUM TELEPORTATION ∗

Published Dec 4, 2012• 0 citations
OpenAlex

Abstract

In the framework of an algebraic approach, we consider a quantum teleportation procedure. It turns out that using the quantum measurement nonlocality hypothesis is unnecessary for describing this procedure. We study the question of what material objects are information carriers for quantum teleportation. 1

Related papers

A Note on Interlaced Quantum Teleportation

Brendan Fong

In Higher Quantum Theory [2], Vicary outlines a generalisation of the usual quantum teleportation protocol, based on the idea of interlacing two separate teleportation procedures. We show here that the protocol he specifies is impossible to implement with qubits. 1 Background An appealing strength of categorical quantum mechanics, initiated by Abramsky and Coecke [1], is that the categorical framework gives a graphical language for expressing quantum operations. Vicary has extended this framework to 2-categories, allowing regions of space that represent classical information [2]. This, to give an example, allows the quantum teleportation protocol to be expressed by the following equality of diagrams, where μ represents measurement with respect to some basis, and ν is a correction corresponding to the measurement outcome:

•Jan 1, 2014•0 citations

True quantum teleportation

Lara Pow

Quantum teleportation has been investigated experimentally, for a variety of physical systems. However, it has been suggested that most methods of teleportation do not achieve true teleportation. This is because a complete Bell-operator measurement cannot be performed without interaction between the quantum particles involved in the teleportation. Since the Bell-operator measurement is a key factor in the teleportation procedure, teleportation cannot be realized in the manner proposed in the pioneering paper on teleportation. In this project, it is verified that, without interaction between the quantum particles involved in the teleportation procedure, true teleportation cannot be achieved.--Page ii.

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Quantum entanglement lies at the heart of new proposals for quantum communication and computation. Here we describe the recent experimental realization of quantum teleportation.

Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences•Aug 15, 1998•175 citations

Nonlocality in Remote State Preparation vis-a-vis Teleportation

Aiman Khan, Som Kanjilal, Dipankar Home

The hitherto unexplored nonlocality of quantum correlations in the information transfer protocol of remote state preparation (RSP) is investigated in terms of a unified nonlocality argument formulated for teleportation as well as for two distinct RSP schemes. The argument differs only in the respective types of local measurements used in each scenario. One of the RSP schemes uses single particle projective measurements, while the other uses joint Bell-basis measurements. Interestingly, the quantum mechanical violations of the Bell-CHSH type inequalities formulated for each of the RSP setups, while being equal to each other, also turn out to be equal to that of the corresponding Bell-CHSH type local realist inequality for teleportation, using the common resource of non-maximally entangled state. This reveals that for such a resource state, the maximum amount of extractable nonlocality of correlations involved in the transfer of information is the same for the standard teleportation protocol and the two RSP schemes considered here, thereby implying that the essential difference between teleportation and remote state preparation lies in the amount of classical information required to be exchanged between parties, and not in the nonlocality of underlying correlations.

arXiv:1612.01136•Dec 4, 2016•0 citations

Quantum teleportation in terms of creation operators of photons

M V Fedorov, A A Sysoeva

Abstract By using the formalism of photon creation operators, we present the simplest description of the effect of quantum teleportation and describe its closest classical analog.

arXiv:1810.08916•Laser Physics Letters•Nov 27, 2018•3 citations
In Higher Quantum Theory [2], Vicary outlines a generalisation of the usual quantum teleportation protocol, based on the idea of interlacing two separate teleportation procedures. We show here that the protocol he specifies is impossible to implement with qubits. 1 Background An appealing strength of categorical quantum mechanics, initiated by Abramsky and Coecke [1], is that the categorical framework gives a graphical language for expressing quantum operations. Vicary has extended this framework to 2-categories, allowing regions of space that represent classical information [2]. This, to give an example, allows the quantum teleportation protocol to be expressed by the following equality of diagrams, where μ represents measurement with respect to some basis, and ν is a correction corresponding to the measurement outcome:
Quantum teleportation has been investigated experimentally, for a variety of physical systems. However, it has been suggested that most methods of teleportation do not achieve true teleportation. This is because a complete Bell-operator measurement cannot be performed without interaction between the quantum particles involved in the teleportation. Since the Bell-operator measurement is a key factor in the teleportation procedure, teleportation cannot be realized in the manner proposed in the pioneering paper on teleportation. In this project, it is verified that, without interaction between the quantum particles involved in the teleportation procedure, true teleportation cannot be achieved.--Page ii.
Abstract Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to understand many high-level quantum phenomena. Here, we lay the foundations for this categorical quantum mechanics, with an emphasis on the graphical calculus that makes computation intuitive. We describe superposition and entanglement using biproducts and dual objects, and show how quantum teleportation can be studied abstractly using these structures. We investigate monoids, Frobenius structures and Hopf algebras, showing how they can be used to model classical information and complementary observables. We describe the CP construction, a categorical tool to describe probabilistic quantum systems. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding. Previous knowledge of linear algebra, quantum information or category theory would give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text, we point out links with many other areas, such as representation theory, topology, quantum algebra, knot theory and probability theory, and present nonstandard models including sets and relations. All results are stated rigorously and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook.
The hitherto unexplored nonlocality of quantum correlations in the information transfer protocol of remote state preparation (RSP) is investigated in terms of a unified nonlocality argument formulated for teleportation as well as for two distinct RSP schemes. The argument differs only in the respective types of local measurements used in each scenario. One of the RSP schemes uses single particle projective measurements, while the other uses joint Bell-basis measurements. Interestingly, the quantum mechanical violations of the Bell-CHSH type inequalities formulated for each of the RSP setups, while being equal to each other, also turn out to be equal to that of the corresponding Bell-CHSH type local realist inequality for teleportation, using the common resource of non-maximally entangled state. This reveals that for such a resource state, the maximum amount of extractable nonlocality of correlations involved in the transfer of information is the same for the standard teleportation protocol and the two RSP schemes considered here, thereby implying that the essential difference between teleportation and remote state preparation lies in the amount of classical information required to be exchanged between parties, and not in the nonlocality of underlying correlations.