Information Engineering group of the University of Oxford by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
The Hadamard gate takes or (quantum states with probability 1.0 of measuring either 0 or 1), and produces states that have equal probability of 0 or 1.
Empty circle control qubit notation by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Some authors use the convention of:
- filled black circle: conventional controlled quantum gate, i.e. operate if control qubit is active
- empty (White) circle: operate if control qubit is inactive
Computational complexity of modular exponentiation by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
math.stackexchange.com/questions/2382011/computational-complexity-of-modular-exponentiation-from-rosens-discrete-mathem mentions:can be calculated in:Remember that and are the lengths in bits of and , so in terms of the length in bits and we'd get:
Compared to Waring's problem, this is potentially much harder, as we can go infinitely negative in our attempts, there isn't a bound on how many tries we can have for each number.
In other words, it is unlikely to have a Conjecture reduction to a halting problem.
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