Draft:Parameter shift rule

Draft article not currently submitted for review. This is a draft Articles for creation (AfC) submission. It is not currently pending review. While there are no deadlines, abandoned drafts may be deleted after six months. To edit the draft click on the "Edit" tab at the top of the window. To be accepted, a draft should: Show the subject qualifies for a Wikipedia article by using multiple sources that meet four criteria. The sources should be (1) reliable (2) secondary (3) independent of the subject (4) talk about the subject in some depth. For some topics, there are alternative criteria. Be written from a neutral point of view Respect copyright and do not plagiarize. Do not copy-paste. It is strongly discouraged to write about yourself, your business or employer. If you do so, you must declare it. Where to get help If you need help editing or submitting your draft, please ask us a question at the AfC Help Desk or get live help from experienced editors. These venues are only for help with editing and the submission process, not to get reviews. If you need feedback on your draft, or if the review is taking a lot of time, you can try asking for help on the talk page of a relevant WikiProject. Some WikiProjects are more active than others so a speedy reply is not guaranteed. How to improve a draft Wikipedia:Contributing to Wikipedia – a basic overview on how to edit Wikipedia. Help:Wikitext – how to use the markup Help:Referencing for beginners – how to include references Wikipedia:Article development – how to develop your article Wikipedia:Writing better articles – how to improve your article Wikipedia:Verifiability – make sure your article includes reliable third-party sources You can also browse Wikipedia:Featured articles and Wikipedia:Good articles to find examples of Wikipedia's best writing on topics similar to your proposed article. Improving your odds of a speedy review To improve your odds of a faster review, tag your draft with relevant WikiProject tags using the button below. This will let reviewers know a new draft has been submitted in their area of interest. For instance, if you wrote about a female astronomer, you would want to add the Biography, Astronomy, and Women scientists tags. Add tags to your draft Editor resources Easy tools: Citation bot (help) | Advanced: Fix bare URLs Last edited by [[User:|]] ([[User talk:|talk]] | contribs) 0 seconds ago. (Update) If you are ready for your draft to be reviewed, save your work by pressing the "Publish changes" button below, and a button will appear here allowing you to submit it.

The parameter shift rule (PSR) is a method used in quantum computing, specifically for variational quantum algorithms (VQAs), to compute the exact gradient of an expectation value with respect to a parameter in a quantum circuit. PSRs enabl efficient and exact optimization crucial for the advancement of quantum algorithms in chemistry, optimization, and machine learning.

A variational quantum circuit (VQC) is a parameterized quantum circuit (PQC) ^[1] where certain gates depend on continuous parameters. These parameters are adjusted to optimize a cost function, typically the expectation value of an observable, by training the circuit in a way analogous to training weights in a neural network. To optimize the parameters, one needs to compute the gradient of the cost function with respect to these parameters. However, directly computing gradients on quantum hardware is non-trivial due to the probabilistic nature of quantum measurements and the inability to directly access the quantum state.