Quantification and manipulation of magic states

Mehdi Ahmadi, Hoan Bui Dang, Gilad Gour, Barry C. Sanders

Research output: Contribution to journalArticlepeer-review


Magic states can be used as a resource to circumvent the restrictions due to stabilizer-preserving operations, and magic-state conversion has not been studied in the single-copy regime thus far. Here we solve the question of whether a stabilizer-preserving quantum operation exists that can convert between two given magic states in the single-shot regime. We first phrase this question as a feasibility problem for a semidefinite program, which provides a procedure for constructing a stabilizer-preserving quantum operation (free channel) if it exists. Then we employ a variant of the Farkas lemma to derive necessary and sufficient conditions for existence, and this method is used to construct a complete set of magic monotones.

Original languageEnglish
Article number062332
JournalPhysical Review A
Issue number6
StatePublished - 20 Jun 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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