Systems and methods for quantum monte carlo processing
US-2024428112-A1 · Dec 26, 2024 · US
US2019197426A1 · US · A1
| Field | Value |
|---|---|
| Publication number | US-2019197426-A1 |
| Application number | US-201816168014-A |
| Country | US |
| Kind code | A1 |
| Filing date | Oct 23, 2018 |
| Priority date | Oct 24, 2017 |
| Publication date | Jun 27, 2019 |
| Grant date | — |
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First, a dual basis B − of B of modulo N is obtained by classical computation. Next, quantum computation is performed using the periodicity of a point sequence included in a sum set of sets obtained by parallel translation of a lattice L(B) by integral multiples of t for a plurality of integers, and an n-dimensional r j =(r j1 , . . . , r jn ) and r j0 are obtained for j=1 , . . . , m. Subsequently, by classical computation, the closest vector r j (c) =(r j1 (c) , . . . , r jn (c) )∈L(B − ) of the n-dimensional vector r j , and the difference vector r j (d) =r j −r j (c) =(r j1 (d) , . . . , r jn (d) ) corresponding to r j (c) are obtained.
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1 . A transformation apparatus receiving inputs of a basis B and a target vector t, and, outputting {r j1 (c) , r j1 (d) , r j0 } and m, M and N that satisfy ( ( r 11 ( c ) … r 1 n ( c ) r 21 ( c ) … r 2 n ( c ) r 31 ( c ) … r 3 n ( c ) ⋮ ⋱ ⋮ r m 1 ( c ) … r mn ( c ) ) + ( r 11 ( d ) … r 1 n ( d ) r 21 ( d ) … r 2 n ( d ) r 31 ( d ) … r
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