# Quantum Image Representation Through Two-Dimensional Quantum States and Normalized Amplitude

@article{Srivastava2013QuantumIR, title={Quantum Image Representation Through Two-Dimensional Quantum States and Normalized Amplitude}, author={Madhur Srivastava and Prasanta K. Panigrahi}, journal={ArXiv}, year={2013}, volume={abs/1305.2251} }

We propose a novel method for image representation in quantum computers, which uses the two-dimensional (2-D) quantum states to locate each pixel in an image through row-location and column-location vectors for identifying each pixel location. The quantum state of an image is the linear superposition of the tensor product of the m-qubits row-location vector and the n-qubits column-location vector of each pixel. It enables the natural quantum representation of rectangular images that other…

## 15 Citations

### Image Processing in Quantum Computers

- Computer Science, PhysicsArXiv
- 2018

This work studies the representation of images in quantum information, the ability of storing N bits of classical information in only log(2N) quantum bits (qubits), and the exponentially efficient implementation of the Fourier transform in quantum computers as compared to Fast Fourier Transform in classical computers.

### Quantum image processing?

- PhysicsQuantum Inf. Process.
- 2017

The technique known as quantum Boolean image processing is mentioned, which works with computational basis states (CBS), exclusively, and allows us to avoid the problem of quantum measurement, which alters the results of the measured except in the case of CBS.

### Quantum image processing?

- PhysicsQuantum Information Processing
- 2016

This paper presents a number of problems concerning the practical (real) implementation of the techniques known as quantum image processing. The most serious problem is the recovery of the outcomes…

### Quantum Dilation and Erosion

- Physics, Computer ScienceApplied Sciences
- 2020

This paper presents an improved quantum method to realize dilation and erosion in imaging processing, and built the quantum circuit theoretically, and ran it on the IBM Quantum Experience platform to test and process real images.

### Image Processing Using Quantum Computing

- Computer Science
- 2021

This chapter starts with the review of different quantum image computing-based research papers with a brief idea of the ethics which inspire quantum computing in the background and focuses on the current scenario of recent trends of quantum image representation, pitfalls, and summarization of the pros and cons of it.

### Quantum image processing: challenges and future research issues

- Computer ScienceInternational Journal of Information Technology
- 2018

This review article will provide the readership an overview of progress witnessed in the area of Quantum Image processing while also simulating further interest to pursue more advanced research in it.

### Implementation of new technique for Face recognition based on quantum computing

- Computer Science
- 2018

A new technique for measuring facial recognition face similarity based on quantum computing (oracle) has been proposed, transforming the oracle of Grover's search algorithm into correlation oracle with feeding image.

### Enhanced Quantum Key Distribution using Hybrid Channels and Natural Random Numbers

- Computer Science, PhysicsArXiv
- 2020

This paper proposes three secure key distribution protocols based on a blend of classical and quantum channels that exploits the property of quantum computers to generate natural random numbers that can be easily transmitted using a single qubit over a quantum channel and can be used for distributing keys to the involved parties in a communication network.

### Quantum spectral analysis: frequency in time, with applications to signal and image processing

- Computer Science
- 2017

A toolbox is completed for spectral analysis, which is essential for all applications of Digital Signal Processing and Digital Image Processing and, even, in the latter, FAT allows edge detection, denoising, despeckling, compression, and superresolution of still images.

### Quantum spectral analysis: bandwidth at time

- Computer Science
- 2016

A quantum time-dependent spectrum analysis, or simply, quantum spectral analysis (QSA) is presented in this work, and it is based on Schrodinger equation, which is a partial differential equation…

## References

SHOWING 1-10 OF 47 REFERENCES

### A novel quantum representation for log-polar images

- PhysicsQuantum Inf. Process.
- 2013

Performance comparison with classical brute-force image registration method reveals that the proposed quantum algorithm can achieve a quartic speedup.

### A Multi-Channel Representation for images on quantum computers using the RGBα color space

- Computer Science2011 IEEE 7th International Symposium on Intelligent Signal Processing
- 2011

The simulation experiment results on classical computer show that the channel information of R G B (color) and α (transparency) can be carried easily on quantum computer by employing three qubits to represent the color space, and indicate that this MCRQI is very flexible to realize some classic-like operations.

### Multidimensional color image storage, retrieval, and compression based on quantum amplitudes and phases

- Physics, Computer ScienceInf. Sci.
- 2014

### Assessing the similarity of quantum images based on probability measurements

- Physics, Computer Science2012 IEEE Congress on Evolutionary Computation
- 2012

A method to analyze the similarity between two quantum images of the same size based on a representation for the quantum images according to the probability distribution of the results from quantum measurements is proposed.

### Storing, processing, and retrieving an image using quantum mechanics

- PhysicsSPIE Defense + Commercial Sensing
- 2003

We investigate the storage and retrieval of an image in a multi-particle quantum mechanical system. Several models are studied and compared with corresponding classical digital methods. We consider a…

### Image Representation and Processing Using Ternary Quantum Computing

- Computer ScienceICANNGA
- 2013

This paper focuses on the quantum image representation using qutrits (3-level quantum systems) and discusses possible implementations for basic image processing tasks such as image complement, image binarization and histogram computation.

### A flexible representation of quantum images for polynomial preparation, image compression, and processing operations

- Computer ScienceQuantum Inf. Process.
- 2011

A constructive polynomial preparation for the FRQI state from an initial state, an algorithm for quantum image compression (QIC), and processing operations for quantum images are combined to build the whole process for Quantum image processing onFRQI.

### A Quantum Algorithm of Constructing Image Histogram

- Computer Science
- 2013

A novel quantum image representation model is proposed firstly in which the pixels with different gray scales can be distinguished and operated simultaneously and based on the new model, a fast quantum algorithm of constructing histogram for quantum image is designed.

### Image processing using quantum computing

- Computer Science, Physics2012 16th International Conference on System Theory, Control and Computing (ICSTCC)
- 2012

This paper investigates the implications of using quantum computing systems in the field of image processing and shows how the efficient exploitation of the special properties of quantum computation leads to better performance for the proposed quantum operations as compared to the classical correspondents.

### Image segmentation on a quantum computer

- Computer Science, PhysicsQuantum Inf. Process.
- 2015

The main advantage of the quantum version for image segmentation over the classical approach is its speedup and is provided by the special properties of quantum information processing: superposition of states and inherent parallelism.