Campbell, ET;
Browne, DE;
(2010)
Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation.
PHYS REV LETT
, 104
(3)
, Article 030503. 10.1103/PhysRevLett.104.030503.
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Abstract
Magic state distillation is an important primitive in fault-tolerant quantum computation. The magic states are pure nonstabilizer states which can be distilled from certain mixed nonstabilizer states via Clifford group operations alone. Because of the Gottesman-Knill theorem, mixtures of Pauli eigenstates are not expected to be magic state distillable, but it has been an open question whether all mixed states outside this set may be distilled. In this Letter we show that, when resources are finitely limited, nondistillable states exist outside the stabilizer octahedron. In analogy with the bound entangled states, which arise in entanglement theory, we call such states bound states for magic state distillation.
| Type: | Article |
|---|---|
| Title: | Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.104.030503 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.104.030503 |
| Language: | English |
| Additional information: | © 2010 The American Physical Society |
| Keywords: | ENTANGLEMENT |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/60174 |
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