4.8 Article

Connections between Mutually Unbiased Bases and Quantum Random Access Codes

Journal

PHYSICAL REVIEW LETTERS
Volume 121, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.050501

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Funding

  1. EU grant RAQUEL
  2. ERC AdG QOLAPS
  3. National Science Centre (NCN) [2014/14/E/ST2/00020]
  4. DS Programs of the Faculty of Electronics, Telecommunications and Informatics, Gdansk University of Technology
  5. CONACyT

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We present a new quantum communication complexity protocol, the promise-quantum random access code, which allows us to introduce a new measure of unbiasedness for bases of Hilbert spaces. The proposed measure possesses a clear operational meaning and can be used to investigate whether a specific number of mutually unbiased bases exist in a given dimension by employing semidefinite programming techniques.

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