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Hybrid Boson Sampling.

Vitaly Kocharovsky1

  • 1Department of Physics and Astronomy and Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX 77843-4242, USA.

Entropy (Basel, Switzerland)
|November 27, 2024
PubMed
Summary
This summary is machine-generated.

We propose a hybrid quantum system for boson sampling, merging photons and Bose-Einstein condensates. This approach aims to demonstrate quantum advantage by tackling computationally hard problems beyond classical capabilities.

Keywords:
Bose–Einstein condensationBoson samplingNP-hard problemmulti-mode cavityquantum advantageultracold gases

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Atomic Physics

Background:

  • Quantum advantage seeks to leverage quantum systems for computational tasks intractable for classical computers.
  • Boson sampling is a key benchmark problem for demonstrating quantum computational advantage.
  • Existing photon-based or atom-based sampling schemes have limitations.

Purpose of the Study:

  • To propose a novel hybrid quantum system for boson sampling.
  • To explore the potential for demonstrating quantum advantage using coupled photons and Bose-Einstein condensates.
  • To overcome limitations of current quantum sampling methodologies.

Main Methods:

  • Utilizing a multi-mode cavity containing coupled photons and Bose-Einstein condensed atoms.
  • Modeling atom-photon scattering and interatomic collisions to create quasiparticles and entangled states.
  • Calculating the joint probability distribution of atom and photon numbers using a quasi-equilibrium model and hafnian of an extended covariance matrix.

Main Results:

  • The proposed system generates sampling statistics that are computationally hard (#P-hard) for classical computers.
  • The hybrid approach integrates cavity quantum electrodynamics (QED) and quantum gas technologies.
  • Entangled states are formed, orthogonal to the driving classical field and atomic condensate.

Conclusions:

  • A hybrid boson sampling setup merging cavity-QED and quantum-gas technologies offers a promising route to quantum advantage.
  • This integrated approach has the potential to surpass the limitations of separate photon or atom sampling schemes.
  • The study provides a theoretical framework for experimentally realizing quantum advantage in a hybrid system.