Teleportation of Continuous Quantum Variables

Shigeaki Nagamachi, Erwin Brüning

Teleportation of optical field states (as continuous quantum variables) is usually described in terms of Wigner functions. This is in marked contrast to the theoretical treatment of teleportation of qubits. In this paper we show that by using the holomorphic representation of the canonical commutation relations, teleportation of continuous quantum variables can be treated in complete analogy to the case of teleportation of qubits. In order to emphasize this analogy, short descriptions of the basic experimental schemes both for teleportation of qubits and of continuous variables are included. We conclude our paper with a brief discussion of the effectiveness of our description of continuous variable teleportation and of the role of localization of quantum states in teleportation problems.

Dirk Bouwmeester

Masashi Ban

Properties of quantum states transmitted by means of continuous variable quantum teleportation are investigated. The necessary condition is obtained such that continuous variable quantum teleportation can transmit nonclassical properties of input states from a sender to a receiver. Furthermore, when a sender and receiver share a two-mode squeezed-vacuum state through a noisy quantum channel and a sender transmits Gaussian quantum states, the fidelity between the input state and the teleported state is calculated to evaluate the performance of the continuous variable quantum teleportation.

Song Tong-Qiang

S. I. J. Kurzeja, A. S. Parkins

Entanglement is a crucial resource in quantum information theory. We investigate the use of different forms of entangled states in continuous variable quantum teleportation, specifically the use of a finite-basis entanglement resource. We also consider the continuous variable teleportation of finite-basis states, such as qubits, and present results that point to the possibility of an efficient conditional scheme for continuous variable teleportation of such states with near-unit fidelity using finite-basis entanglement.

H. J. Carmichael