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Probabilistic Quantum Teleportation

Pankaj Agrawal, Arun K. Pati

Published Oct 1, 2002• 126 citations
OpenAlex

Abstract

We consider a generalized quantum teleportation protocol for an unknown qubit using non-maximally entangled state as a shared resource. Without recourse to local filtering or entanglement concentration, using standard Bell-state measurement and classical communication one cannot teleport the state with unit fidelity and unit probability. We show that using non-maximally entangled measurements one can teleport an unknown state with unit fidelity albeit with reduced probability. We also give a generalized protocol for entanglement swapping using non-maximally entangled states. I.

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We consider a generalized quantum teleportation protocol for an unknown qubit using non-maximally entangled state as a shared resource. Without recourse to local filtering or entanglement concentration, using standard Bell-state measurement and classical communication one cannot teleport the state with unit fidelity and unit probability. We show that using non-maximally entangled measurements one can teleport an unknown state with unit fidelity albeit with reduced probability. We also give a generalized protocol for entanglement swapping using non-maximally entangled states. I.
In the presence of quantum noise a perfect EPR pair becomes imperfect and may be described by a non-maximally entangled pair. With non-maximally entangled state as a resource one cannot teleport an unknown state faithfully. Typically, one has to perform either local filtering or entanglement concentration and then follow the standard teleportation method. In this talk, we will present a new protocol that uses neither local filtering nor entanglement concentration to teleport an unknown state. We show that using non-maximally entangled measurements one can teleport an unknown state with unit fidelity but with a probability that is less than unit. Ours is a generalized quantum teleportation protocol that encompasses probabilistic as well as deterministic teleportation scenarios. We describe the probabilistic teleportation in terms of quantum operations and give explicit expressions for success and failure probabilities. This may have practical value in real experiments, and even may be tested with current technology.
We describe a new protocol where, by using a non-maximally entangled basis as the measurement basis, one can use a general pure entangled state as a resource for quantum teleportation. Using this protocol one can teleport a state with unit fidelity though less than unit probability. We also use the more natural language of quantum operations to describe this probabilistic teleportation. We also provide success and failure probabilities for this protocol. This scheme could be of use in real experiments which may be tested in the near future.
In this paper a new scheme for teleporting an unknown entangled state of two particles is proposed. To weaken the requirement for the quantum channel, without loss of generality, two communicators only share a non-maximally entangled two-particle state. Teleportation can be probabilistically realized if sender performs Bell-state measurements and Hadamard transformation and receiver introduces two auxiliary particles, operates C -not operation, single-qubit measurements and appropriate unitary transformations. The probability of successful teleportation is determined by the smaller one among the coefficients' absolute values of the quantum channel.
In this paper,a protocol which can realize probabilistic quantum teleportation of an unknown classical tripartite W entangled state is proposed.Controlled probabilistic quantum teleportation of an unknown generic tripartite W entangled state with a non-maximal tripartite GHZ entangled state and a pair of non-maximal EPR entangled particles as the quantum channels can be realized too.The teleportation associates with the generalized Bell-basis measurement and the C-Not operate,respectively.After the base vector transformation,an auxiliary qubit which the initial state is in the zero state and the corresponding unitary transformation are included in this protocol.
Qubits are realized as polarization state of photons or as superpositions of the spin states of electrons. In this paper we propose a scheme to probabilistically teleport an unknown arbitrary two-qubit state using a non-maximally entangled GHZ- like state and a non-maximally Bell state simultaneously as quantum channels. We also discuss the success probability of our scheme. We perform POVM in the protocol which is operationally advantageous. In our scheme we show that the non-maximal quantum resources perform better than maximal resources.