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The advent of next generation radio telescope facilities, such as the SquareKilometer Array (SKA), will usher in an era where a Pulsar Timing Array (PTA)based search for gravitational waves (GWs) will be able to use hundreds of welltimed millisecond pulsars rather than the few dozens in existing PTAs. Arealistic assessment of the performance of such an extremely large PTA musttake into account the data analysis challenge posed by an exponential increasein the parameter space volume due to the large number of so-called pulsar phaseparameters. We address this problem and present such an assessment for isolatedsupermassive black hole binary (SMBHB) searches using a SKA era PTA containing$10^3$ pulsars. We find that an all-sky search will be able to confidentlydetect non-evolving sources with redshifted chirp mass of $10^{10}$ $M_\odot$out to a redshift of about $28$ (corresponding to a rest-frame chirp mass of$3.4\times 10^{8}$ $M_\odot$). We discuss the important implications that thelarge distance reach of a SKA era PTA has on GW observations from opticallyidentified SMBHB candidates. If no SMBHB detections occur, a highly unlikelyscenario in the light of our results, the sky-averaged upper limit on strainamplitude will be improved by about three orders of magnitude over existinglimits.

Pulsar Timing Array Based Search for Supermassive Black Hole Binaries in the Square Kilometer Array Era