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Sublimation is the direct transformation of a solid to a gaseous state. For instance, at standard pressure and room temperature, solid carbon dioxide sublimes to gaseous carbon dioxide. The phase diagram depicts the conditions required for sublimation. This process occurs at the solid-gas phase boundary and is not observed above the triple point of the substance. The reverse of sublimation is called deposition, where a gaseous substance condenses directly into a solid. Sublimation and...
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Localized Virtual Purification.

Hideaki Hakoshima1,2, Suguru Endo3,4, Kaoru Yamamoto3

  • 1Graduate School of Engineering Science, <a href="https://ror.org/035t8zc32">Osaka University</a>, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan.

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|September 6, 2024
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Summary
This summary is machine-generated.

Researchers propose localized measurements for quantum simulations, overcoming experimental limits. This method enhances cooling and error mitigation in quantum many-body systems.

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Area of Science:

  • Quantum simulation
  • Quantum many-body physics
  • Computational physics

Background:

  • Quantum simulators offer efficient simulation of complex quantum systems.
  • Near-term quantum devices face experimental limitations hindering full simulation.
  • Purification-based methods improve simulations but require excessive global entangled measurements.

Purpose of the Study:

  • To overcome experimental limitations in quantum simulation.
  • To reduce the measurement overhead in purification-based quantum simulation.
  • To leverage the concept of locality in quantum simulation methods.

Main Methods:

  • Restricting entangled measurements to local observables.
  • Developing theoretical guarantees for replacing global operations with local ones.
  • Performing numerical verification of localized purification.

Main Results:

  • Demonstrated that global purification can be replaced by local operations under specific conditions.
  • Validated the effectiveness of localized purification for cooling and error mitigation.
  • Showed numerical support for localized purification even when theoretical conditions are not met.

Conclusions:

  • Localized purification offers a viable solution to experimental challenges in quantum simulation.
  • This method bridges locality principles with quantum simulator capabilities.
  • Expected to enable exploration of new quantum many-body phenomena.