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Quantum dimension test using the uncertainty principle

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 نشر من قبل Rui Chao
 تاريخ النشر 2020
  مجال البحث فيزياء
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We propose a test for certifying the dimension of a quantum system: store in it a random $n$-bit string, in either the computational or the Hadamard basis, and later check that the string can be mostly recovered. The protocol tolerates noise, and the verifier only needs to prepare one-qubit states. The analysis is based on uncertainty relations in the presence of quantum memory, due to Berta et al. (2010).

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