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Fast Quantum State Transfer and Entanglement Renormalization Using Long-Range Interactions.

Zachary Eldredge1, Zhe-Xuan Gong1,2, Jeremy T Young1

  • 1Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.

Physical Review Letters
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Summary
This summary is machine-generated.

Long-range interactions enable faster quantum state transfer and entanglement generation. This study presents a protocol demonstrating an exponential speedup for creating complex entangled states, particularly for dipole-dipole interactions.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Entanglement generation speed in short-range systems is limited by Lieb-Robinson velocity.
  • Long-range interactions offer potential for faster entanglement but optimal speedup remains an open question.

Purpose of the Study:

  • To introduce a protocol for quantum state transfer using long-range interactions.
  • To analyze the scaling of state transfer time with distance and interaction strength.
  • To bound the time required for creating multiscale entanglement renormalization ansatz (MERA) states.

Main Methods:

  • Developing a quantum state transfer protocol utilizing interactions with strength 1/r^α.
  • Analyzing state transfer time dependencies: constant, logarithmic, power-law, or linear scaling with distance L.
  • Applying the protocol to bound MERA state creation time.

Main Results:

  • State transfer time depends on the exponent α and dimension d: independent of L (α
  • MERA state creation time scales similarly to state transfer time, with logarithmic corrections.
  • An exponential speedup is achieved for α=d.

Conclusions:

  • The developed protocol provides a method for efficient quantum state transfer and entanglement generation.
  • The findings offer insights into the fundamental limits of entanglement dynamics in long-range interacting systems.
  • The protocol has potential applications in creating large entangled states, relevant for systems with dipole-dipole interactions.