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Compression of Quantum Shallow-Circuit States.

Yuxiang Yang1

  • 1The University of Hong Kong, QICI Quantum Information and Computation Initiative, Department of Computer Science, Pokfulam Road, Hong Kong SAR, China.

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This summary is machine-generated.

Storing quantum information from shallow circuits is now possible. N copies of an unknown n-qubit state can be compressed into O(nlog_{2}N) (qu)bits, optimizing memory cost for quantum information processing.

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Area of Science:

  • Quantum Computing
  • Quantum Information Theory

Background:

  • Shallow quantum circuits offer computational advantages and have emerging applications.
  • Efficient storage of quantum information from these circuits is a critical, yet underexplored, research area.

Purpose of the Study:

  • To investigate the compression of quantum information generated by shallow quantum circuits.
  • To determine the optimal memory requirements for storing multiple copies of quantum states produced by fixed-depth circuits.

Main Methods:

  • Theoretical analysis of quantum state compression.
  • Development of a hybrid memory model for storing quantum information.

Main Results:

  • Demonstrated that N copies of an unknown n-qubit state from a fixed-depth circuit can be compressed into O(nlog_{2}N) (qu)bits.
  • Achieved optimal scaling for memory cost in quantum information storage.

Conclusions:

  • Computational resource complexity significantly influences quantum information processing rates.
  • Provides a unified perspective on quantum Shannon theory and quantum computing, highlighting the interplay between circuit depth and information storage.