Building my own QFT matrix how do I continue?

Building my own QFT matrix how do I continue? Ask Question Asked today Modified today Viewed 9 times 0 I am interested in problems which are isomorphic to non abelian groups.Currently I'm working with problems which are isomorphic to the symmetric group and for simplicity I took the S3 subgroup.For S3 the generators are e,(1,2),(2,3),(1,3),(1,2,3),(1,3,2). I have made my own representation matrices for (1,2) ,(2,3),(1,2,3),(1,3,2) because I don't understand the logic of the irreducible representation matrices so instead I encode every information about each generator. For (1,2) it is ⎡ ⎣ ⎢ 0 1 0 1 0 0 0 0 1 ⎤ ⎦ ⎥ [ 0 1 0 1 0 0 0 0 1 ] For (2,3) it is ⎡ ⎣ ⎢ 1 0 0 0 0 1 0 1 0 ⎤ ⎦ ⎥ [ 1 0 0 0 0 1 0 1 0 ] For (1,2,3) it is ⎡ ⎣ ⎢ 0 1 0 0 0 1 1 0 0 ⎤ ⎦ ⎥ [ 0 0 1 1 0 0 0 1 0 ] For (1,3,2) it is ⎡ ⎣ ⎢ 0 1 0 1 0 0 0 0 1 ⎤ ⎦ ⎥ [ 0 1 0 1 0 0 0 0 1 ] Now the textbook QFT matrix for the S3 subgroup is 6x6 so I guess my own QFT matrix would be 8x8. Questions:If I replace σ11 and σ12 with the matrices of (1,2) and (2,3)and σ21 and σ22 with the other two matrices do I need to change something in the overall QFT matrix? quantum-fourier-transformmatrix-representation Share Improve this question Follow asked 2 hours ago Whiter Fox 2213 3 bronze badges "the textbook QFT matrix" Is there a specific textbook you are following, or do you just mean the term "textbook" to imply it is relatively well known? –  hft Commented 58 mins ago Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Ask question Explore related questions quantum-fourier-transformmatrix-representation See similar questions with these tags. The Overflow Blog The messy truth of your AI strategies Gen Z needs a knowledge base (and so do you) Related 17 How to construct matrix of regular and "flipped" 2-qubit CNOT? 3 What is the matrix representation for n 𝑛 -qubit gates? 3 Show how the Bell state arises from the circuit with Hadamard and CNOT, using matrix notation 8 What is the matrix for a SWAP operation on two qubits? 2 How do you retrieve the Quantum Fourier Transform matrix from superposition expansion? 5 QF T −1 𝑄 𝐹 𝑇 − 1 at the end of Shor's algorithm and QFT 𝑄 𝐹 𝑇 at the end of Hidden Subgroup algorithm 1 Why is the application of a Quantum Fourier Transform constant time? Hot Network Questions What was the first work to show a replacement Santa giving children whatever they asked for? Wheel doesn't center in fork Is this situation reachable in 5x5 Resolve? Help identifying these 3 connectors High-risk high-reward journal submission in competitive field: prestige with long review or safer mid-tier option with tight timeline? How to distinguish plated vs non-plated holes in Excellon (.drl) drill files? Can philosophy define/predict the rise of power? A complex integral and its possible relations to special functions Has anyone created a Conlang by accidentally painting it? How to transpose this for that so it becomes that for this? Nonlinear least-squares regression and one-compartment model/pharmacokinetics Halting problem and "hardest to predict" programs more hot questions Question feed By continuing to use this website, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. By exiting this window, default cookies will be accepted. To reject cookies, select an option from below. Customize settings Cookie Consent Preference Center When you visit any of our websites, it may store or retrieve information on your browser, mostly in the form of cookies. This information might be about you, your preferences, or your device and is mostly used to make the site work as you expect it to. The information does not usually directly identify you, but it can give you a more personalized experience. Because we respect your right to privacy, you can choose not to allow some types of cookies. Click on the different category headings to find out more and manage your preferences. Please note, blocking some types of cookies may impact your experience of the site and the services we are able to offer. Cookie Policy Accept all cookies Manage Consent Preferences Strictly Necessary Cookies Always Active These cookies are necessary for the website to function and cannot be switched off in our systems. They are usually only set in response to actions made by you which amount to a request for services, such as setting your privacy preferences, logging in or filling in forms. You can set your browser to block or alert you about these cookies, but some parts of the site will not then work. These cookies do not store any personally identifiable information. Targeting Cookies Targeting Cookies These cookies are used to make advertising messages more relevant to you and may be set through our site by us or by our advertising partners. They may be used to build a profile of your interests and show you relevant advertising on our site or on other sites. They do not store directly personal information, but are based on uniquely identifying your browser and internet device. Performance Cookies Performance Cookies These cookies allow us to count visits and traffic sources so we can measure and improve the performance of our site. They help us to know which pages are the most and least popular and see how visitors move around the site. All information these cookies collect is aggregated and therefore anonymous. If you do not allow these cookies we will not know when you have visited our site, and will not be able to monitor its performance. Functional Cookies Functional Cookies These cookies enable the website to provide enhanced functionality and personalisation. They may be set by us or by third party providers whose services we have added to our pages. If you do not allow these cookies then some or all of these services may not function properly. Cookie List Clear checkbox label label Apply Cancel Consent Leg.Interest checkbox label label checkbox label label checkbox label label Necessary cookies only Confirm My Choices