File:The effect of unitary transforms on registers with pairwise entangled qubits.png
![File:The effect of unitary transforms on registers with pairwise entangled qubits.png](https://upload.wikimedia.org/wikipedia/commons/thumb/8/85/The_effect_of_unitary_transforms_on_registers_with_pairwise_entangled_qubits.png/800px-The_effect_of_unitary_transforms_on_registers_with_pairwise_entangled_qubits.png?20200901165701)
Size of this preview: 800 × 558 pixels. Other resolutions: 320 × 223 pixels | 640 × 446 pixels | 1,050 × 732 pixels.
Original file (1,050 × 732 pixels, file size: 91 KB, MIME type: image/png)
File information
Structured data
Captions
Captions
Add a one-line explanation of what this file represents
Summary
editDescriptionThe effect of unitary transforms on registers with pairwise entangled qubits.png |
English: This picture shows the effect of applying a unitary transform (F) on a quantum register A that is in a superposition and that have each one of its qubits pairwise entangled with with a second register B. In particular, it shows the effect of inversion of the transform. |
Date | |
Source | This picture was created by qcircuit, a LaTeX package for making quantum circuit diagrams |
Author | Omnissiahs hierophant |
- Other information
% This is the source code of the picture, and can be put in a .tex-file, and compiled by e.g. pdflatex %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \documentclass{amsart} \usepackage[matrix,frame,arrow]{xypic} \usepackage[braket]{qcircuit} \vfuzz2pt % Don't report over-full v-boxes if over-edge is small %%% ---------------------------------------------------------------------- \begin{document} \[ \Qcircuit @C=0.5em @R=.5em { \lstick{\ket{0}} & \qw & \gate{H} & \ctrl{3} & \qw & \qw & \multigate{2}{F} & \qw & \\ \lstick{\ket{0}} & \qw & \gate{H} & \qw & \ctrl{3} & \qw & \ghost{F} & \qw & \rstick{\Bigg\}A = F\frac{1}{\sqrt{2^n}}\sum_{k=0}^{2^{n}-1}|k\rangle = F|B\rangle} \\ \lstick{\ket{0}} & \qw & \gate{H} & \qw & \qw & \ctrl{3} & \ghost{F} & \qw & \\ \lstick{\ket{0}} & \qw & \qw & \targ & \qw & \qw & \qw & \qw & \\ \lstick{\ket{0}} & \qw & \qw & \qw & \targ & \qw & \qw & \qw & \rstick{\Bigg\}B = \frac{1}{\sqrt{2^n}}\sum_{k=0}^{2^{n}-1}|k\rangle = F^{\dagger}|A\rangle} \\ \lstick{\ket{0}} & \qw & \qw & \qw & \qw & \targ & \qw & \qw & }\] The equivalences are the same \[ \Qcircuit @C=0.5em @R=.5em { \lstick{\ket{0}} & \qw & \gate{H} & \ctrl{3} & \qw & \qw & \qw & \qw & \\ \lstick{\ket{0}} & \qw & \gate{H} & \qw & \ctrl{3} & \qw & \qw & \qw & \rstick{\Bigg\}A = \frac{1}{\sqrt{2^n}}\sum_{k=0}^{2^{n}-1}|k\rangle = F^{\dagger\dagger}|B\rangle = F|B\rangle} \\ \lstick{\ket{0}} & \qw & \gate{H} & \qw & \qw & \ctrl{3} & \qw & \qw & \\ \lstick{\ket{0}} & \qw & \qw & \targ & \qw & \qw & \multigate{2}{F^\dag} & \qw & \\ \lstick{\ket{0}} & \qw & \qw & \qw & \targ & \qw & \ghost{F^\dag} & \qw & \rstick{\Bigg\}B = F^{\dagger}\frac{1}{\sqrt{2^n}}\sum_{k=0}^{2^{n}-1}|k\rangle = F^{\dagger}|A\rangle} \\ \lstick{\ket{0}} & \qw & \qw & \qw & \qw & \targ & \ghost{F^\dag} & \qw & }\] \end{document} %
Licensing
editI, the copyright holder of this work, hereby publish it under the following licenses:
![]() |
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
![w:en:Creative Commons](https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/CC_some_rights_reserved.svg/90px-CC_some_rights_reserved.svg.png)
![attribution](https://upload.wikimedia.org/wikipedia/commons/thumb/1/11/Cc-by_new_white.svg/24px-Cc-by_new_white.svg.png)
![share alike](https://upload.wikimedia.org/wikipedia/commons/thumb/d/df/Cc-sa_white.svg/24px-Cc-sa_white.svg.png)
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 16:57, 1 September 2020 | ![]() | 1,050 × 732 (91 KB) | Omnissiahs hierophant (talk | contribs) | Fix: Previous image was generated with the old LaTeX code, that had errors. |
16:45, 1 September 2020 | ![]() | 927 × 723 (90 KB) | Omnissiahs hierophant (talk | contribs) | Index variable "i" changed to "k", to avoid confusion with the imaginary unit. Also updated the text to be more clear about what is meant | |
16:47, 22 December 2019 | ![]() | 573 × 419 (45 KB) | Omnissiahs hierophant (talk | contribs) | Correction of the formulas | |
14:42, 22 December 2019 | ![]() | 524 × 408 (45 KB) | Omnissiahs hierophant (talk | contribs) | Uploading a self-made file using File Upload Wizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on ar.wikipedia.org
- Usage on en.wikipedia.org
- Usage on pt.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Horizontal resolution | 28.35 dpc |
---|---|
Vertical resolution | 28.35 dpc |
File change date and time | 16:53, 1 September 2020 |