Noisy Simon Period Finding
نویسندگان
چکیده
Let \(f: \mathbb {F}_2^n \rightarrow {F}_2^n\) be a Boolean function with period \(\mathbf {s}\). It is well-known that Simon’s algorithm finds {s}\) in time polynomial n on quantum devices are capable of performing error-correction. However, today’s inherently noisy, too limited for error correction, and not error-tolerant.
منابع مشابه
Lecture 8 : Period Finding : Simon ’ s Problem over
Remark 1.2. Classically, we can actually solve this problem very efficiently. Note that the condition on s implies that s divides N . Assuming N = 2, then s must lie in the set {1, 2, 4, . . . , N}. So we obtain an efficient classical algorithm by simply testing if s = 1 is f ’s period, then if s = 2 is f ’s period, etc. This requires us to test n = logN values of s, so the query complexity, an...
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ژورنال
عنوان ژورنال: Lecture Notes in Computer Science
سال: 2021
ISSN: ['1611-3349', '0302-9743']
DOI: https://doi.org/10.1007/978-3-030-75539-3_4