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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

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...
Phasor Arithmetics01:13

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular frequency.
Signal Flow Graphs01:18

Signal Flow Graphs

Signal-flow graphs offer a streamlined and intuitive approach to representing control systems, providing an alternative to traditional block diagrams. These graphs use branches to symbolize systems and nodes to represent signals, effectively illustrating the relationships and interactions within the system.
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
Conservative Site-specific Recombination and Phase Variation02:53

Conservative Site-specific Recombination and Phase Variation

Because the DNA segments are cut and reorganized in a direction-specific manner, site-specific recombination has emerged as an efficient genetic engineering technique. Flippase and Cyclization recombinases or Flp and Cre, respectively, are two members of the tyrosine recombinase family derived from bacteriophages, that are used to mediate site-specific DNA insertions, deletions, and targeted expression of proteins in mammalian cell lines.
The recognition sites for Cre recombinase called LoxP...

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Related Experiment Video

Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering.

Yifang Xu1, Yilong Zhou1, Lida Sun1

  • 1Tsinghua University, Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Beijing 100084, China.

Physical Review Letters
|June 12, 2026
PubMed
Summary
This summary is machine-generated.

Researchers developed a new geometric phase engineering method for high-fidelity two-logical-qubit gates in bosonic quantum computers. This technique achieves 97.4% fidelity, a significant advancement for fault-tolerant quantum computation.

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Related Experiment Videos

Last Updated: Jun 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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Area of Science:

  • Quantum Computing
  • Quantum Information Science
  • Quantum Error Correction

Background:

  • High-fidelity two-logical-qubit gates are critical for fault-tolerant quantum computation using bosonic codes.
  • Existing experimental fidelities for these gates have historically been below 90%.

Purpose of the Study:

  • To propose and experimentally demonstrate a novel geometric phase engineering approach for controlled-phase gates.
  • To achieve fast and high-fidelity logical operations for binomially encoded logical qubits.

Main Methods:

  • Utilizing geometric phase engineering for controlled-phase gates on binomially encoded logical qubits.
  • Leveraging the structural simplicity of geometric drives to reduce optimization dimensionality.
  • Incorporating system nonlinearities for enhanced gate performance.

Main Results:

  • Experimentally demonstrated a process fidelity of 97.4±0.8% for a controlled-Z gate between two lowest-order binomial codes (with postselection).
  • Achieved 94.9±0.7% fidelity without postselection, surpassing previous two-logical-qubit gate fidelities in bosonic codes.
  • Showcased fast and high-fidelity logical operations.

Conclusions:

  • Geometric phase engineering offers an effective and experimentally feasible pathway to high-fidelity logical operations in bosonic quantum processors.
  • This method addresses the challenge of achieving high fidelities necessary for fault-tolerant quantum computation.