Does anyone know how to get your Google+ profile displayed in the right hand sidebar of the Google search results page? As in the screenshot below:
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For Google+ business pages (local)
Here's a guide: https://support.google.com/plus/answer/1713911?hl=en
If you don't see your business listed in the menu, click No, these are not my businesses or I've correctly entered the business.
You'll then be prompted to enter some details for your business. Make sure you enter an accurate, complete street address and a phone number which reaches your business directly.
After you complete your business information, click Submit.
You will have one or two verification options. You can also choose to skip verification and return to your page's dashboard at https://plus.google.com/dashboard to complete the process later.
For Google+ business pages (non-local)
This is the old verification link:
Apparently, verifying your page is much more of an automated process now by Google.
It's definitely a good idea to have your Google+ page linking to your website and vice-versa, maybe via a Google+ badge. Specially since it's written (as you can see in the picture) it says "learn more about linking for Google+ pages".
Here are some links that I found with helpful information:
To have a business page appear on the right hand side of Google search results page, you will need to have a Google+ verified business page, which is symbolized by that small "v" next to the business name. To do such, you will need to have a Google+ business page verified by requesting it via this form: http://support.google.com/plus/bin/request.py?hl=en&contact_type=page_verification&rd=1
Jack Lockyer's answer works for displaying a thumbnail image of your Google+ profile on search results UNDER the website title on the left side of the results, as seen here. And by that giant red arrow on your question, that's not what you were looking for. That answer is incorrect.
P.S.: I have done the verification myself for my business, and after less than a week, it was being displayed on search results.
You will need to associate your Google Plus account with the webpage that you're searching for.
In you Google Plus account add the website in the 'contributor' section of your profile, then add the following tag to the header of your webpage:
<link rel="publisher" href="GOOGLE_PlUS_ACCOUNT_URL>
Wait a few days for Google to re-index your site and you should be away! Of course doing this doesn't guarantee that Google will include your profile in the search results.