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Experimental Quantum Advantage with Quantum Coupon Collector.

Min-Gang Zhou1, Xiao-Yu Cao1, Yu-Shuo Lu1

  • 1National Laboratory of Solid State Microstructures, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China.

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This summary is machine-generated.

This study demonstrates a quantum coupon collector protocol using coherent states, significantly reducing samples needed to learn a set. This quantum approach offers advantages in machine learning and communication complexity.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Communication

Background:

  • Quantum technology shows promise for communication and computation, but experimental realization is challenging due to difficulties in preparing complex quantum states.
  • High-dimensional or highly entangled states are difficult to create, hindering experimental demonstrations of quantum advantage schemes.

Purpose of the Study:

  • To introduce and analyze a quantum coupon collector protocol using readily available quantum states and optical elements.
  • To experimentally demonstrate the feasibility of the quantum coupon collector protocol with realistic equipment.
  • To explore the potential applications and expansions of quantum coupon collection, including a quantum blind box game.

Main Methods:

  • Utilized coherent states and simple linear optical elements to implement the quantum coupon collector protocol.
  • Successfully demonstrated the protocol using realistic experimental setups.
  • Constructed a quantum blind box game to further investigate the protocol's capabilities.

Main Results:

  • The quantum coupon collector protocol significantly reduces the number of samples required to learn a specific set compared to classical limits.
  • The information transmitted in the proposed quantum blind box game also surpassed classical limits.
  • Experimental validation confirmed the protocol's effectiveness with practical equipment.

Conclusions:

  • The developed quantum coupon collector protocol offers a practical advantage over classical methods for learning sets.
  • Quantum mechanics provides demonstrable benefits in machine learning and communication complexity.
  • The protocol's successful experimental demonstration paves the way for future quantum communication and computation applications.