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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...

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Related Experiment Video

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Characterization of SiN Integrated Optical Phased Arrays on a Wafer-Scale Test Station
05:57

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Published on: April 1, 2020

Experimental implementation of the optimal linear-optical controlled phase gate.

Karel Lemr1, A Cernoch, J Soubusta

  • 1Joint Laboratory of Optics of Palacký University, Institute of Physics of Academy of Sciences of the Czech Republic, 779 07 Olomouc, Czech Republic.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Researchers experimentally created optimal linear-optical controlled phase gates for any phase shift. This flexible quantum gate achieves maximum success probabilities using bulk optics and polarization encoding.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Linear Optics

Background:

  • Controlled phase gates are fundamental quantum computing primitives.
  • Previous implementations were limited in phase flexibility or optimality.
  • Linear-optical quantum computing offers a promising platform for quantum information processing.

Purpose of the Study:

  • To experimentally realize optimal linear-optical controlled phase gates for arbitrary phase shifts.
  • To demonstrate the flexibility and optimality of the proposed quantum gate scheme.
  • To investigate the relationship between phase shift and success probability.

Main Methods:

  • Utilizing bulk optical elements for quantum gate implementation.
  • Employing polarization encoding of qubit states.
  • Leveraging postselection with vacuum ancillas for optimal success probabilities.

Main Results:

  • Successful experimental realization of controlled phase gates for arbitrary phase shifts.
  • Demonstration of maximum achievable success probabilities within the postselected linear-optical framework.
  • Observation that optimum success probability is not monotonically dependent on the phase shift.

Conclusions:

  • The presented scheme offers a flexible and optimal method for implementing controlled phase gates using linear optics.
  • This work advances the capabilities of linear-optical quantum computing.
  • Further exploration of the non-monotonic behavior of success probability could yield new insights.