Tight Noise Thresholds for Quantum Computation with Perfect Stabilizer Operations

Details Tight Noise Thresholds for Quantum Computation with Perfect Stabilizer Operations Tight Noise Thresholds for Quantum Computation with Perfect Stabilizer Operations

2009-07-20

arxiv.org/abs/0907.3189v1

Physical Review Letters, Volume 103, Number 17, Article 170504 (2009)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.103.170504

We study how much noise can be tolerated by a universal gate set before it loses its quantum-computational power. Specifically we look at circuits with perfect stabilizer operations in addition to imperfect non-stabilizer gates. We prove that for all unitary single-qubit gates there exists a tight depolarizing noise threshold that determines whether the gate enables universal quantum computation or if the gate can be simulated by a mixture of Clifford gates. This exact threshold is determined by the Clifford polytope spanned by the 24 single-qubit Clifford gates. The result is in contrast to the situation wherein non-stabilizer qubit states are used; the thresholds in that case are not currently known to be tight.

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