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SUPPLEMENTARY NOTES
ABSTRACTPrinciples of quantum computing using molecular vibronic states and time-frequency resolved coherent antistokes Raman scattering (TFRCARS) were demonstrated through, and the execution of standard algorithms were elaborated alongwith measures of fidelity. These proof-of-principle implementations are on ensembles ofmolecules in the gas phase, unlikely to be a realistic architecture in practicalimplementations. We have therefore focused on solid-state implementations of the same,where now the understanding and control of decoherence of systems in intimate contactwith their surrounding environment is the key scientific challenge. Very significantprogress in this regard has been made in a) developing the tools to probe quantumcoherence and decoherence of vibronic states in phase space, b) developing semiclassical methods for the analysis of the mechanics of decoherence, c) demonstratingmesoscopic coherence ("cat" -states) and complete arrest of decoherence in stationarynon-eigenstates prepared by environmentally induced coherence. Also, significantprogress has been made in approaching the single molecule limit in TFRCARSimplementations -a crucial step in considering scalable quantum computing using themolecular Hilbert space and nonlinear optics.
ABSTRACTPrinciples of quantum computing using molecular vibronic states and timefrequency resolved coherent anti-stokes Raman scattering (TFRCARS) were demonstrated through, and the execution of standard algorithms were elaborated along with measures of fidelity. These proof-of-principle implementations are on ensembles of molecules in the gas phase, unlikely to be a realistic architecture in practical implementations. We have therefore focused on solid-state implementations of the same, where now the understanding and control of decoherence of systems in intimate contact with their surrounding environment is the key scientific challenge. Very significant progress in this regard has been made in a) developing the tools to probe quantum coherence and decoherence of vibronic states in phase space, b) developing semiclassical methods for the analysis of the mechanics of decoherence, c) demonstrating mesoscopic coherence ("cat"-states) and comp...