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Assessment of blood pressure in brachial artery(two-step method)01:23

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Measuring blood pressure is a fundamental skill in healthcare that aids in diagnosing and monitoring hypertension and other cardiovascular conditions. An aneroid sphygmomanometer, commonly used in clinical settings, offers a manual and precise method for blood pressure measurement. The technique for using this instrument involves specific steps that must be carefully executed to ensure accuracy. The following detailed description outlines a two-step technique for assessing blood pressure using...
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Naimark-dilated PT-symmetric brachistochrone.

Uwe Günther1, Boris F Samsonov

  • 1Research Center Dresden-Rossendorf, POB 510119, D-01314 Dresden, Germany. u.guenther@fzd.de

Physical Review Letters
|December 31, 2008
PubMed
Summary

Researchers experimentally implemented a PT-symmetric quantum brachistochrone system. This system, reinterpreted as a subsystem of a larger Hermitian system, enables ultrafast quantum control in entangled two-spin systems.

Area of Science:

  • Quantum mechanics
  • Quantum control
  • Quantum information science

Background:

  • The quantum brachistochrone problem seeks the fastest quantum evolution between two states.
  • Parity-time (PT)-symmetric Hamiltonians offer unique properties in quantum systems.
  • Previous theoretical work by Bender et al. proposed a PT-symmetric ultrafast brachistochrone regime.

Purpose of the Study:

  • To provide a pathway for the experimental realization of PT-symmetric quantum brachistochrones.
  • To reframe PT-symmetric systems as subsystems within a larger Hermitian framework.
  • To enable ultrafast quantum control using entangled systems.

Main Methods:

  • Naimark dilation of the PT-symmetric Hamiltonian.
  • Reinterpretation of the PT-symmetric system as a subsystem of a Hermitian system in a higher-dimensional Hilbert space.

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  • Utilizing an entangled two-spin system for experimental implementation.
  • Main Results:

    • Demonstrated a method to experimentally implement PT-symmetric quantum brachistochrones.
    • Established a connection between PT-symmetric and Hermitian systems via Naimark dilation.
    • Showcased the potential for ultrafast quantum control in entangled systems.

    Conclusions:

    • The Naimark dilation provides a viable route for experimental PT-symmetric quantum brachistochrone realization.
    • This approach facilitates the study of PT-symmetric dynamics in controllable quantum systems.
    • The findings pave the way for advancements in ultrafast quantum control and quantum information processing.