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Arbitrary-speed quantum gates within large ion crystals through minimum control of laser beams

Shi-Liang Zhu, C. Monroe and L.-M. Duan

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We propose a scheme to implement arbitrary-speed quantum entangling gates on two trapped ions immersed in a large linear crystal of ions, with minimal control of laser beams. For gate speeds slower than the oscillation frequencies in the trap, a single appropriately detuned laser pulse is sufficient for high-fidelity gates. For gate speeds comparable to or faster than the local ion oscillation frequency, we discover a five-pulse protocol that exploits only the local phonon modes. This points to a method for efficiently scaling the ion trap quantum computer without shuttling ions.


PACS

32.80.Qk Coherent control of atomic interactions with photons

03.67.Pp Quantum error correction and other methods for protection against decoherence

03.67.Lx Quantum computation architectures and implementations

Subjects

Atomic and molecular physics

Computational physics

Quantum information and quantum mechanics

Dates

Issue 4 (February 2006)

Received 10 November 2005, accepted for publication 15 December 2005, in final form 15 December 2005

Published 6 January 2006



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