Fast quantum gates for cold trapped ions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 4, 2000, Pages 042307-042301

  Jonathan, D ^a   Plenio, M B ^a   Knight, P L ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; COMPUTER SIMULATION; ELECTRON TRANSITIONS; ELECTRON TRAPS; GROUND STATE; IONS; LASER BEAMS; MOLECULAR DYNAMICS; RESONANCE;

COLD TRAPPED IONS; MAGIC LAMB-DICKE PARAMETER METHOD; QUANTUM GATES;

QUANTUM THEORY;

EID: 0034298135     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

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28. H. C. Nägerl (private communication).
29. 2 ≪ 1. Although necessary, this condition is not sufficient for the validity of the Jaynes-Cummings Hamiltonian in Eq. (2b), as can be seen from our numerical results in Fig. 4.
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34. Note that excitation transfer would indeed be possible if one-qubit rotations could also be implemented directly on the motional state. This follows since surrounding a C-NOT gate with Hadamard rotations on both qubits exchanges the role of control and target qubit, and since a sequence of three alternating C-NOT gates is equivalent to the SWAP gate. However, since the motional state cannot be manipulated independently, a SWAP gate cannot be realized with this method alone.
35. A. Steane (private communication).
36. Note that the energy values here are the square roots of the eigenvalues given in Table 2 of [8].