Distributed quantum information processing with minimal local resources

Details Distributed quantum information processing with minimal local resources Distributed quantum information processing with minimal local resources

2007-04-11

arxiv.org/abs/0704.1464v3

Phys. Rev. A (Rapid Comm) 76, 040302(R) (2007)

Physics

Quantum Physics

4 pages of main paper with an additional 1 page appendix, 5 figures. Please contact me with any comments

Scientific paper

10.1103/PhysRevA.76.040302

We present a protocol for growing graph states, the resource for one-way quantum computing, when the available entanglement mechanism is highly imperfect. The distillation protocol is frugal in its use of ancilla qubits, requiring only a single ancilla qubit when the noise is dominated by one Pauli error, and two for a general noise model. The protocol works with such scarce local resources by never post-selecting on the measurement outcomes of purification rounds. We find that such a strategy causes fidelity to follow a biased random walk, and that a target fidelity is likely to be reached more rapidly than for a comparable post-selecting protocol. An analysis is presented of how imperfect local operations limit the attainable fidelity. For example, a single Pauli error rate of 20% can be distilled down to $\sim 10$ times the imperfection in local operations.

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