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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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Fast-forward scaling theory.

S Masuda1, K Nakamura2

  • 1Research Center for Emerging Computing Technologies (RCECT), National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1, Umezono, Tsukuba, Ibaraki 305-8568, Japan.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 6, 2022
PubMed
Summary
This summary is machine-generated.

Fast-forward scaling theory (FFST) enables precise control over quantum dynamics, accelerating or decelerating quantum systems. This technology is crucial for advancing quantum computing and other quantum technologies by overcoming decoherence challenges.

Keywords:
fast-forward scaling theoryshortcuts to adiabaticityspeed control of quantum dynamics

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Advanced control theory

Background:

  • Quantum technologies, like quantum computing, necessitate rapid manipulation of quantum systems to mitigate decoherence.
  • Controlling quantum dynamics speed is challenging due to complex scaling properties and vast parameter spaces.

Purpose of the Study:

  • To introduce and review Fast-Forward Scaling Theory (FFST) for controlling quantum dynamics.
  • To explore FFST's applications in accelerating and decelerating quantum and classical systems.
  • To highlight recent developments and introduce novel methods like inter-trajectory travel.

Main Methods:

  • Review of Fast-Forward Scaling Theory (FFST) principles.
  • Analysis of FFST's application to various quantum systems (cold atoms, molecules, spins, solid-state artificial atoms).
  • Introduction of the 'inter-trajectory travel' method derived from FFST.

Main Results:

  • FFST provides a framework to accelerate, decelerate, stop, and reverse quantum dynamics.
  • Extended FFST applications include fast state preparation, state protection, and ion sorting.
  • The study introduces 'inter-trajectory travel' as a new FFST-derived technique.
  • The significance of deceleration in quantum technology is emphasized.

Conclusions:

  • FFST is a powerful tool for controlling quantum dynamics, essential for quantum technology advancement.
  • FFST and its extensions offer practical solutions for challenges in quantum system manipulation.
  • Deceleration control, alongside acceleration, is a key aspect for future quantum technologies.