Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation

Details Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation

2009-08-06

arxiv.org/abs/0908.0836v3

Phys. Rev. Lett. 104, 030503 (2010)

Physics

Quantum Physics

Published version. This paper builds on a theorem proven in "On the Structure of Protocols for Magic State Distillation", arXi

Scientific paper

10.1103/PhysRevLett.104.03050

Magic state distillation is an important primitive in fault-tolerant quantum computation. The magic states are pure non-stabilizer states which can be distilled from certain mixed non-stabilizer 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, non-distillable 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.

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