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The hidden subgroup problem is especially important in the theory of quantum computing for the following reasons. Shor's algorithm for factoring and for finding discrete logarithms (as well as several of its extensions) relies on the ability of quantum computers to solve the HSP for finite abelian groups .
At the outbreak of World War II, the British Indian Army numbered 205,000 men. Later during World War II, the Indian Army became the largest all-volunteer force in history, rising to over 2.5 million men in size. [107] These forces included tank, artillery and airborne forces. Indian soldiers earned 30 Victoria Crosses during the Second World War.
This is a list of known World War II era codenames for military operations and missions commonly associated with World War II. As of 2022 this is not a comprehensive list, but most major operations that Axis and Allied combatants engaged in are included, and also operations that involved neutral nation states. Operations are categorised ...
Operation Corkscrew was the code name for the Allied invasion of the Italian island of Pantelleria (between Sicily and Tunisia) on 11 June 1943, prior to the Allied invasion of Sicily, during the Second World War. [3] There had been an early Allied plan to occupy the island in late 1940 (Operation Workshop) but it was cancelled when the ...
Although the ABC-1 agreement was not a military alliance, it nevertheless signified that the United States was preparing to enter the war on the side of the Allied powers, that the United States would make every effort to maintain the security of the British Commonwealth, and that the United States military was modifying existing war plans (e.g ...
They were an international military coalition formed during the Second World War (1939–1945) to oppose the Axis powers, led by Nazi Germany, the Empire of Japan, and the Kingdom of Italy. Its principal members by the end of 1941 were the United Kingdom , the United States , the Soviet Union , and China .
The 6th United States Army Group (also referred to as the Southern Group of Armies) was an Allied army group that fought in the European Theater of Operations during World War II. Made up of field armies from both the United States Army and the French Army, it fought in France, Germany, Austria, and, briefly, Italy.
Western Allies was a political and geographic grouping among the Allied Powers of the Second World War. [1] [2] It primarily refers to the leading Anglo-American Allied powers, namely the United States and the United Kingdom, [1]: 3 [3] although the term has also been used more broadly to encompass lesser Allied powers from the British Commonwealth (in particular, Canada, Australia and New ...