Journal
PHYSICAL REVIEW LETTERS
Volume 112, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.140407
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Funding
- Swiss National Science Foundation [PP00P2_138917]
- EU DIQIP
- Engineering and Physical Sciences Research Council [EP/J007838/1] Funding Source: researchfish
- EPSRC [EP/J007838/1] Funding Source: UKRI
- Swiss National Science Foundation (SNF) [PP00P2_138917] Funding Source: Swiss National Science Foundation (SNF)
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We consider the problem of testing the dimension of uncharacterized classical and quantum systems in a prepare-and-measure setup. Here we assume the preparation and measurement devices to be independent, thereby making the problem nonconvex. We present a simple method for generating nonlinear dimension witnesses for systems of arbitrary dimension. The simplest of our witnesses is highly robust to technical imperfections, and can certify the use of qubits in the presence of arbitrary noise and arbitrarily low detection efficiency. Finally, we show that this witness can be used to certify the presence of randomness, suggesting applications in quantum information processing.
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