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Stronger Quantum Speed Limit for Mixed Quantum States.

Shrobona Bagchi1, Dimpi Thakuria2,3, Arun Kumar Pati2,3

  • 1Center for Quantum Information, Korea Institute of Science and Technology, Seoul 02792, Republic of Korea.

Entropy (Basel, Switzerland)
|July 29, 2023
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Summary
This summary is machine-generated.

Researchers derived a new quantum speed limit for mixed quantum states using a stronger uncertainty relation. This optimized bound improves upon existing limits for quantum evolution speed.

Keywords:
mixed quantum statesquantum speed limittime-energy uncertainty relation

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Area of Science:

  • Quantum Physics
  • Quantum Information Theory

Background:

  • Quantum speed limits define fundamental constraints on the rate of quantum evolution.
  • Existing bounds are often less effective for mixed quantum states.

Purpose of the Study:

  • To derive a tighter quantum speed limit for unitary evolution in mixed quantum states.
  • To improve the precision of bounds on quantum dynamical processes.

Main Methods:

  • Utilized the stronger uncertainty relation specifically for mixed quantum states.
  • Optimized the derived bound by selecting appropriate Hermitian operators.

Main Results:

  • Successfully derived a novel quantum speed limit for mixed quantum states.
  • Demonstrated that the new bound offers superior performance compared to three existing bounds.
  • Showcased optimization potential through illustrative examples.

Conclusions:

  • The derived quantum speed limit provides a more accurate constraint for mixed quantum systems.
  • The method offers a pathway to tighter bounds in quantum dynamics.
  • This work advances the understanding of speed limits in realistic quantum states.