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$Interference and Diffraction$ 02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

Gauss's Law

Gauss's Law

If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.

Gauss's Law: Planar Symmetry

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...

Interference: Path Lengths

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...

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Related Experiment Video

Updated: Jan 15, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

What is a Gaussian channel, and when is it physically implementable using a multiport interferometer?

Repana Devendra¹, Tiju Cherian John², Sumesh Kappil³

¹Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, Maharashtra, India.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|October 9, 2025

Summary

This summary is machine-generated.

This study unifies definitions of quantum Gaussian channels and details their physical implementation using linear optics. It provides new characterizations for these essential quantum information processing tools.

Keywords:

Gaussian states linear optical channels multiport interferometer quantum Gaussian channels quantum channels

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Area of Science:

Quantum Information Science
Continuous-Variable Quantum Systems
Quantum Communication

Background:

Quantum Gaussian channels are essential models for quantum communication and information processing.
Existing literature presents multiple, sometimes conflicting, definitions of these channels.
Physical implementation of quantum channels is crucial for developing quantum technologies.

Purpose of the Study:

To provide a unified framework for understanding quantum Gaussian channels.
To investigate the physical realization of quantum Gaussian channels using linear optics.
To address foundational questions and clarify misunderstandings in the field.

Main Methods:

Formal proof of equivalence between different definitions of quantum Gaussian channels.
Analysis of linear optical multiport interferometers for channel implementation.
Characterization of Gaussian channels using ampliations and specific matrix pairs.

Main Results:

A rigorous, unified framework for quantum Gaussian channels is established.
New characterizations of Gaussian channels based on ampliations are introduced.
Conditions for the physical implementability of Gaussian channels via linear optics are precisely defined.

Conclusions:

The study clarifies foundational aspects of quantum Gaussian channels.
It offers a pathway for the physical realization of these channels using linear optics.
This work resolves ambiguities and advances the understanding of quantum information processing.