Related papers: Null dimension witness based on single measurements

Null dimension witness based on single measurements

URL: http://arxiv.org/abs/2305.08395v2
Date: Thu, 15 Feb 2024 10:54:37 GMT
Title: Null dimension witness based on single measurements
Authors: Josep Batle, Adam Bednorz
Abstract summary: We present a null witness of the dimension of a quantum system, discriminating real, complex and classical spaces. The witness involves only a single measurement with sufficiently many outcomes and prepared input states.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We present a null witness of the dimension of a quantum system, discriminating real, complex and classical spaces, based on equality due to linear independence. The witness involves only a single measurement with sufficiently many outcomes and prepared input states. In addition, for intermediate dimensions, the witness bounds saturate for a family of equiangular tight frames including symmetric informationally complete positive operator valued measures. Such a witness requires a minimum of resources, being robust against many practical imperfections. We also discuss errors due to finite statistics.

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