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

S. A. Babichev, J. Ries, A. I. Lvovsky

TL;DR

The paper demonstrates quantum scissors teleportation of arbitrary single-mode optical states using a nonlocal single-photon entangled resource, effectively truncating the teleported state to the |0> and |1> Fock components. A coherent input state is teleported via a Bennett-style protocol, with Bell measurement implemented by beam-splitter interference and non-discriminating detectors, and the output state is characterized by homodyne tomography. Fidelities up to about 99% are achieved for small input amplitudes, illustrating genuine quantum nonlocality beyond semiclassical limits and enabling a priori teleportation without postselection. The work provides a pathway toward scalable linear-optics quantum computation and state-preparation techniques by enabling controlled truncations of the Fock expansion and highlights routes for improvement with number-resolving detectors and higher-order truncations.

Abstract

We employ the quantum state of a single photon entangled with the vacuum (|1,0>-|0,1>), generated by a photon incident upon a symmetric beam splitter, to teleport single-mode quantum states of light by means of the Bennett protocol. Teleportation of coherent states results in 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, 1604 (1998))

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

TL;DR

The paper demonstrates quantum scissors teleportation of arbitrary single-mode optical states using a nonlocal single-photon entangled resource, effectively truncating the teleported state to the |0> and |1> Fock components. A coherent input state is teleported via a Bennett-style protocol, with Bell measurement implemented by beam-splitter interference and non-discriminating detectors, and the output state is characterized by homodyne tomography. Fidelities up to about 99% are achieved for small input amplitudes, illustrating genuine quantum nonlocality beyond semiclassical limits and enabling a priori teleportation without postselection. The work provides a pathway toward scalable linear-optics quantum computation and state-preparation techniques by enabling controlled truncations of the Fock expansion and highlights routes for improvement with number-resolving detectors and higher-order truncations.

Abstract

We employ the quantum state of a single photon entangled with the vacuum (|1,0>-|0,1>), generated by a photon incident upon a symmetric beam splitter, to teleport single-mode quantum states of light by means of the Bennett protocol. Teleportation of coherent states results in 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, 1604 (1998))

Paper Structure

This paper contains 5 sections, 9 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Theory
  3. Experimental apparatus
  4. Results and discussion
  5. Conclusion

Figures (3)

  • Figure 1: Conceptual scheme of the experiment. BS$_i$, beam splitters; $D_i$, single photon detectors.
  • Figure 2: Quadrature noise distribution of the teleported state measured with a balanced homodyne detector as a function of the source state phase.
  • Figure 3: Teleportation fidelity as a function of the amplitude $\alpha$ of the coherent source state. Shown are the experimental data and the theoretical fit (solid line), the idealized quantum mechanical model with number discriminating detectors (dashed line) and the semiclassical particle model (dotted line).