Optimal classical and quantum real and complex dimension witness

被引：6
|
作者：
Batle, Josep [1 ,2 ]
Bednorz, Adam [3 ]
机构：
[1] Inst IES Can Peu Blanc, C Ronda Nord 19, Sa Pobla 07420, Balearic Island, Spain
[2] Univ Illes Balears, Dept Fis, Palma De Mallorca 07122, Balearic Island, Spain
[3] Univ Warsaw, Fac Phys, Ulica Pasteura 5, PL-02093 Warsaw, Poland
来源：
PHYSICAL REVIEW A | 2022年 / 105卷 / 04期
关键词：
MECHANICS;
D O I：
10.1103/PhysRevA.105.042433
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We find the minimal number of independent preparations and measurements certifying the dimension of a classical or quantum system limited to d states, optionally reduced to the real subspace. As a dimension certificate, we use the linear independence tested by a determinant. We find the sets of preparations and measurements that maximize the chance to detect larger space if the extra contribution is very small. We discuss the practical application of the test to certify the space logical operations on a quantum computer.
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页数：8
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