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Summary: Molecular Physics, Vol. 104, No. 8, 20 April 2006, 12491266
Quantum logic gates in iodine vapor using timefrequency
resolved coherent anti-Stokes Raman scattering:
a theoretical study
DAVID R. GLENN*yx, DANIEL A. LIDARy and V. ARA APKARIANz
yChemical Physics Theory Group, Chemistry Department, University of Toronto,
80 St. George St., Toronto, Ontario M5S 3H6, Canada
zChemistry Department, University of California, 516 Rowland Hall,
Irvine, CA 92697-2025, USA
(Received 14 July 2005; in final form 5 October 2005)
We present a numerical investigation of the implementation of quantum logic gates through
timefrequency resolved coherent anti-Stokes Raman scattering (TFRCARS) in iodine
vapour. A specific scheme is given whereby two qubits are encoded in the tensor product space
of vibrational and rotational molecular eigenstates. Single-qubit and controlled-logic gates
are applied to test the viability of this encoding scheme. Possible experimental constraints
are investigated, including the necessary precision in the timing of successive CARS pulses and
the minimum resolution of spectral components within a given pulse. It is found that these
requirements can be satisfied by current technology. The two-qubit Grover search is
performed to demonstrate the implementation of a sequence of quantum operations. The
results of our simulations suggest that TFRCARS is a promising experimental system
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