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Related Concept Videos

Bandpass Sampling01:17

Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2. The spectrum...

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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Photonic boson sampling in a tunable circuit.

Matthew A Broome1, Alessandro Fedrizzi, Saleh Rahimi-Keshari

  • 1Centre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072, Australia. m.a.broome@googlemail.com

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|December 22, 2012
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Summary

Quantum computing may not require universal quantum computers. Boson sampling experiments show that even with imperfections, quantum devices can perform complex tasks efficiently, challenging the Extended Church-Turing thesis.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Computational Complexity Theory

Background:

  • The Extended Church-Turing thesis posits that any physically realizable computation can be efficiently performed by a classical computer.
  • Quantum computers promise exponential speedups for certain computational tasks, but their necessity is debated.
  • Boson sampling is a specific computational task believed to be intractable for classical computers but feasible for quantum devices.

Purpose of the Study:

  • To experimentally verify the theoretical predictions of boson sampling.
  • To test the feasibility of boson sampling as a task for quantum computation.
  • To investigate the robustness of boson sampling protocols in the presence of experimental imperfections.

Main Methods:

  • Experimental implementation of a six-mode integrated optical circuit for boson sampling.
  • Scattering of three photons through the optical circuit.
  • Measurement of photon scattering amplitudes and comparison with theoretical predictions (permanents of submatrices).
  • Analysis of the impact of photon loss, source imperfections, and detector inefficiencies.

Main Results:

  • Experimental verification that three-photon scattering amplitudes match theoretical predictions based on matrix permanents.
  • Demonstration of the robustness of the boson sampling protocol despite unavoidable experimental imperfections.
  • Validation of the core principles underlying boson sampling.

Conclusions:

  • Boson sampling can be experimentally realized and its central premise verified.
  • The task of boson sampling is robust to realistic experimental conditions.
  • Efficient boson sampling may be achievable with less complex quantum hardware than universal quantum computers, challenging the necessity of the latter for certain tasks.