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Design Example: Capacitance Multiplier Circuit

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.

Maximum Power Transfer

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Numerous practical applications within engineering disciplines, such as telecommunications, necessitate optimizing power delivery to a connected load. This pursuit, however, entails inherent internal losses, which can either equal or exceed the power supplied to the load. The Thevenin equivalent circuit is helpful in finding the maximum power a linear circuit can deliver to a load. It is assumed in this context that the load resistance can be adjusted.
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Phasor Arithmetics

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Related Experiment Video

Updated: Oct 2, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Practical continuous-variable quantum secret sharing using plug-and-play dual-phase modulation.

Qin Liao, Haijie Liu, Yupeng Gong

|February 25, 2022

Summary

This summary is machine-generated.

This study introduces a practical continuous-variable quantum secret sharing (CVQSS) scheme using plug-and-play configuration and dual-phase-modulated coherent states. The new method enhances security and simplifies deployment for secure key distribution among multiple users.

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Last Updated: Oct 2, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quasi-light Storage for Optical Data Packets

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Area of Science:

Quantum Information Science
Quantum Cryptography
Quantum Communication

Background:

Continuous-variable quantum secret sharing (CVQSS) offers secure key distribution but faces practical implementation challenges.
Existing CVQSS protocols often require complex setups and are vulnerable to specific attacks.

Purpose of the Study:

To propose a practical and secure CVQSS scheme.
To address limitations in current CVQSS implementations, focusing on security and ease of deployment.

Main Methods:

Utilizing a plug-and-play (P&P) configuration.
Employing dual-phase-modulated coherent states (DPMCS).
Deriving security bounds using established continuous-variable quantum key distribution (CVQKD) analysis techniques.

Main Results:

The proposed P&P DPM-based CVQSS eliminates the need for users to prepare their own coherent states, reducing complexity and synchronous loopholes.
The system is inherently immune to local oscillator (LO)-aimed attacks by allowing local LO generation at the dealer's station.
Security bounds for the proposed scheme were derived, confirming its practical security.

Conclusions:

The P&P DPM-based CVQSS scheme presents a practical solution for secure key sharing.
The proposed method enhances security and simplifies deployment, offering a viable path for future implementations.
An experimental concept is provided as a guideline for practical realization.