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arXiv:quant-ph/0208066 · Europhysics Letters (EPL)

Quantum scissors: Teleportation of single-mode optical states by means of a nonlocal single photon

С. А. Бабичев, Jonas Ries, Alexander I. Lvovsky

Published Oct 1, 2003• 463 citations
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Abstract

We employ the quantum state of a single photon entangled with the vacuum (| GROUP ⟩ A | GROUP ⟩ B − | GROUP ⟩ A | GROUP ⟩ B ), generated by a photon incident upon a symmetric beam splitter, to teleport single-mode quantum states of light by means of the Bennett protocol. The teleportation of coherent states results in the truncation of their Fock expansion to the first two terms. We analyze the teleported ensembles by means of homodyne tomography and obtain fidelities of up to 99 per cent for low-source state amplitudes. This work is an experimental realization of the quantum scissors device proposed by Pegg, Phillips and Barnett ( Phys. Rev. Lett. , 81 (1998) 1604).

DOI
10.1209/epl/i2003-00504-y

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We employ the quantum state of a single photon entangled with the vacuum (| GROUP ⟩ A | GROUP ⟩ B − | GROUP ⟩ A | GROUP ⟩ B ), generated by a photon incident upon a symmetric beam splitter, to teleport single-mode quantum states of light by means of the Bennett protocol. The teleportation of coherent states results in the truncation of their Fock expansion to the first two terms. We analyze the teleported ensembles by means of homodyne tomography and obtain fidelities of up to 99 per cent for low-source state amplitudes. This work is an experimental realization of the quantum scissors device proposed by Pegg, Phillips and Barnett ( Phys. Rev. Lett. , 81 (1998) 1604).
We propose a realizable experimental scheme to prepare superposition of the vacuum and one-photon states by truncating an input coherent state. The scheme is based on the quantum scissors device proposed by Pegg, Phillips, and Barnett [Phys. Rev. Lett. 81, 1604 (1998)] and uses photon-counting detectors, a single photon source, and linear optical elements. Realistic features of the photon counting and single-photon generation are taken into account and possible error sources are discussed together with their effect on the fidelity and efficiency of the truncation process. Wigner function and phase distribution of the generated states are given and discussed for the evaluation of the proposed scheme.
Quantum scissors device of Pegg et al. (1998 Phys. Rev. Lett. 81, 1604) enables truncation of the Fock-state expansion of an input optical field to qubit and qutrit (three-dimensional) states only. Here, a generalized scissors device is proposed using an eight-port optical interferometer. Upon post-selection based on photon counting results, the interferometer implements generation and teleportation of qudit (d-dimensional) states by truncation of an input field at the (d-1)th term of its Fock-state expansion up to d=6. Examples of selective truncations, which can be interpreted as a Fock-state filtering and hole burning in the Fock space of an input optical field, are discussed. Deterioration of the truncation due to imperfect photon counting is discussed including inefficiency, dark counts and realistic photon-number resolutions of photodetectors.
The quantum scissors device of Pegg et al (1998 Phys. Rev. Lett. 81 1604) enables truncation of the Fock-state expansion of an input optical field to qubit and qutrit (three-dimensional) states only. Here, a generalized scissors device is proposed using an eight-port optical interferometer. Upon post-selection based on photon counting results, the interferometer implements generation and teleportation of qudit ( d -dimensional) states by truncation of an input field at the ( d −1)th term of its Fock-state expansion up to d = 6. Examples of selective truncations, which can be interpreted as a Fock-state filtering and hole burning in the Fock space of an input optical field, are discussed. Deterioration of the truncation due to imperfect photon counting is discussed including inefficiency, dark counts and realistic photon-number resolutions of photodetectors.
Abstract A class of finite-dimensional quantum entanglement states is generated by applying a catalytic quantum scissors device (QSD) to one mode of the pair coherent state (PCS), which is just a superposition of | 0 , q ⟩ , | 1 , 1 + q ⟩ and | 2 , 2 + q ⟩ , with q being the photon number difference between the two modes of the PCS. The enhancement of entanglement is numerically examined in terms of the von Neumann entropy and linear entropy, depending on the parameters of the catalytic QSD and PCS. The results show that the entanglement of the truncated PCS is stronger than that of the PCS within a certain region of the parameters. In addition, the performance of the fidelity of the standard Braunstein–Kimble protocol is investigated to teleport a coherent state by using the truncated PCS as an entangled resource. Comparing with the PCS as an entangled resource, the teleportation fidelity for the truncated PCS is improved at a small parameter | ζ | of PCS and a large transmissivity T 2 of the beam-splitter. Our work reveals that the catalytic QSD is also an efficient method to realize entanglement enhancement in quantum optics and quantum information processing.
In this work, the basic idea of the quantum scissors (QS) device is slightly modified to generate finite-dimensional quantum states by means of conditional measurements on beam splitters (BSs). It turns out that a QS device with two single-photon inputs and two single-photon detections is just a projection operator composed of the vacuum state, one-photon state, and two-photon state, depending upon the transmission coefficients of BSs. As the most general example, we consider the squeezed coherent state as the input state and derive the analytical expression of the output state. Its nonclassical characteristics are analyzed in detail by means of the average photon number, intensity gain, and Wigner function. In addition, we extend this technique to the two-mode squeezed vacuum state (TMSVS). The resulting state is just the generalized Bell state, containing only the twin vacuum, twin one-photon, and twin two-photon components, whose entanglement properties are quantified by the von Neumann entropy and Einstein–Podolsky–Rosen correlation. The results show that the entanglement of the truncated TMSVS is stronger than that of TMSVS within a certain range of squeezing parameter and transmissivity.
In quantum information processing, the preparation and optimization of entanglement sources are critical steps. This paper explores reality-enhanced entanglement in two-mode squeezed vacuum states via three-photon quantum scissors (3-QS). Crucially, in realistic scenarios, the optimized 3-QS scheme achieves stronger entanglement than ideal scenarios while expanding the effective enhancement range. By adjusting beam-splitter transmittance in experimentally accessible weak squeezing regimes, we achieve enhanced entanglement and higher quantum teleportation fidelity compared to conventional strong squeezing approaches. This scheme provides a practical path toward long-distance quantum communication by transforming low-quality squeezed states into high-fidelity entanglement resources.