Entanglement purification for Quantum Computation

Details Entanglement purification for Quantum Computation Entanglement purification for Quantum Computation

2002-10-10

arxiv.org/abs/quant-ph/0210069v2

Phys. Rev. Lett. 90, 067901 (2003)

Physics

Quantum Physics

4 pages, 1 figure; V2: references added

Scientific paper

10.1103/PhysRevLett.90.067901

We show that thresholds for fault-tolerant quantum computation are solely determined by the quality of single-system operations if one allows for d-dimensional systems with $8 \leq d \leq 32$. Each system serves to store one logical qubit and additional auxiliary dimensions are used to create and purify entanglement between systems. Physical, possibly probabilistic two-system operations with error rates up to 2/3 are still tolerable to realize deterministic high quality two-qubit gates on the logical qubits. The achievable error rate is of the same order of magnitude as of the single-system operations. We investigate possible implementations of our scheme for several physical set-ups.

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