The Emir of Qatar, Sheikh Tamim bin Hamad Al Thani, has been received by the Queen at Buckingham Palace as he marks his first official visit to the UK.
The Queen has been targeted by Twitter trolls after sending her first royal tweet.
The official @BritishMonarchy account she used saw its followers grow by tens of thousands, but was immediately attacked by trolls sending abusive messages.
A Buckingham Palace spokesman said: "We were fully cognisant of the nature of Twitter, where anyone anywhere can express their opinion, but we were delighted that so many people - in their tens of thousands - responded positively.
"We saw some tweets with profanity but that is just the nature of the format."
Scotland Yard said it had not received any complaints and was not investigating the matter.
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A racehorse owned by the Queen has been stripped of its second place finish in this year's Ascot Gold Cup following a positive drugs test.
Estimate was one of eight horses to test positive for morphine in July, a substance which has since been traced back to a batch of contaminated feed.
A British Horseracing Authority (BHA) disciplinary hearing ruled that trainer Sir Michael Stoute had in fact taken sufficient measures to prevent the incident from happening, and decided against imposing a fine.
Estimate finished as runner-up to Leading Light in the Gold Cup, having won the same race in 2013.
The £80,625 prize for second place will now be handed to Missunited, who originally finished third in the race.
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The Queen has urged Scottish voters to "think very carefully" before casting their ballots in Thursday's referendum.
She was heard making the off-camera remarks to members of the public during a visit to Crathie Church in Aberdeenshire.
The Telegraph newspaper said it understood the monarch had told the small crowd:
You have an important vote on Thursday.
I hope everybody thinks very carefully about the referendum this week.
It is thought to be her first public comment on the issue of Scottish independence.
The Queen "will be proud" to be the monarch of an independent Scotland, according to Alex Salmond.
Scotland's First Minister also said he had an audience at Balmoral "but the proper position is you don't discuss these matters in public".
I want the Queen as head of state, as Queen of Scots of an independent Scotland as her ancestors were.
I think Her Majesty the Queen, who has seen so many events in the course of her long reign, will be proud to be Queen of Scots, and indeed we would be proud to have her as monarch of this land...
And I think the statement from the Palace about the Queen's neutrality in this matter is a perfectly satisfactory and perfectly sensible one.
The Queen is said to be 'delighted' by the news that Prince William and the Duchess of Cambridge are expecting their second child.
The Queen and members of both families are delighted with the news that Their Royal Highnesses are expecting their second child
The Queen is apparently concerned that she might be the monarch presiding over the breaking up of the Union and be the last Queen of Scotland.
A source quoted in The Mirror said: "The Queen is a unionist, there is now a great deal of concern.
“If there is a Yes vote that puts us into uncharted territory constitutionally . Nothing is certain and her being Queen of Scotland is not a given.”
Maintaining the Union is believed to have been the main topic of conversation between the Queen and David Cameron as the Prime Minister visited Balmoral over the weekend.
Palace aides have stressed that the Queen remains neutral on the issue as with all political debates.