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Compact Quantum Dots for Single-molecule Imaging
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Multi-bit quantum random number generation from a single qubit quantum walk.

Anupam Sarkar1,2, C M Chandrashekar3,4

  • 1The Institute of Mathematical Sciences, C. I. T. Campus, Taramani, Chennai, 600113, India.

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This study introduces a novel quantum random number generation method using a single qubit discrete-time quantum walk. This technique efficiently produces multi-bit random numbers from a single measurement, crucial for quantum communication.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • Quantum random number generation (QRNG) is essential for secure communication and cryptography.
  • Existing QRNG methods can be complex or require multiple qubits.

Purpose of the Study:

  • To develop a scheme for multi-bit quantum random number generation using a single qubit quantum walk.
  • To demonstrate high randomness through quantum interference and entanglement.

Main Methods:

  • Utilizing a discrete-time quantum walk of a single qubit in one-dimensional space.
  • Leveraging quantum interference and entanglement with the position space during the walk dynamics.
  • Employing bit commitment and probability distribution control for multi-bit extraction.

Main Results:

  • A single qubit quantum walk in a 2l+1 dimensional position space generates (l+2)-bit random numbers per measurement.
  • The method ensures high randomness irrespective of the initial qubit state.
  • Demonstrated practical importance for generating multi-bit strings in single measurements.

Conclusions:

  • A single qubit quantum walk offers a powerful and practical approach to multi-bit quantum random number generation.
  • This method has significant implications for quantum communication and cryptographic protocols.
  • The scheme can be extended to higher dimensions for further advancements.