Triangle Inequality Qutrit Circuit

Triangle Inequality Qutrit Circuit Ask Question Asked 11 days ago Modified 11 days ago Viewed 40 times 1 Is anyone aware of resources or algorithms that implement a triangle constraint check on three qudits (qutrits in my case)? Specifically, I am looking for a circuit that takes three qudits encoding j 1 , j 2 , j 3 𝑗 1 , 𝑗 2 , 𝑗 3 and returns a value on an ancilla qubit indicating whether the triangle inequality | j 1 − j 2 |≤ j 3 ≤ j 1 + j 2 | 𝑗 1 − 𝑗 2 | ≤ 𝑗 3 ≤ 𝑗 1 + 𝑗 2 is satisfied, while leaving the input registers unchanged. quantum-gatequantum-algorithms Share Improve this question Follow asked Mar 5 at 18:27 User 111 1 bronze badge Can you construct the (purely classical) truth-table for the above? I think there are 3×3×3=27 3 × 3 × 3 = 27 rows, and 3+1=4 3 + 1 = 4 columns. From there, can you construct the corresponding permutation unitary? I think it would be 54×54 54 × 54 -dimensional matrix. –  Mark Spinelli Commented Mar 9 at 18:35 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-gatequantum-algorithms See similar questions with these tags. The Overflow Blog Open source for awkward robots Domain expertise still wanted: the latest trends in AI-assisted knowledge for... Featured on Meta Logo updates to Stack Overflow's visual identity Related 6 Problem about qutrit teleportation protocol 5 Cliffordness of the qutrit Hadamard gate 4 Qutrit analogues of controlled Z and cc-Z gates 10 What is the set of generators for the qutrit Clifford group? 4 Why is the triangle finding problem important? 2 Is there a method to implement qutrit using qubits? 6 Qutrit Steane Code 2 Matrix representation of the qutrit gate analogous to Pauli- X 𝑋 gate 1 Pennylane and Qutrit quantum circuit matrix representation bug 2 How to prove that a given qutrit operator A 𝐴 is trivial? Hot Network Questions Why were two different Hebrew words used for "first" in Genesis 8:13? What state of matter is a black hole? The "Author" of an edited letter collection Definition of n-huge cardinals in Harvey Friedman's works Why do archaic colonial‑era laws remain in effect long after independence in many Asian and African countries? 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