This is a research study using special immune system cells called LMP1- and LMP2-specific cytotoxic T lymphocytes (LMP1- and LMP2-CTLs), a new experimental therapy. As in chronic active EBV infection, some patients with Hodgkin or non-Hodgkin lymphoma show evidence of infection with the virus that causes infectious mononucleosis (EBV) before or at the time of their diagnosis of the Lymphoma. EBV is found in the cancer cells of up to half the patients with lymphoma, suggesting that it may play a role in causing lymphoma. The cancer cells infected by EBV are able to hide from the body's immune system and escape destruction. We want to see if special white blood cells, called T cells, that have been trained to kill EBV infected cells can survive in the patient's blood and affect EBV-positive cells. In this present study we are trying to find out if we can improve this treatment by growing T cells that only recognize two of the proteins expressed on lymphoma cells called LMP1 and LMP2. These special T cells are called LMP1- and LMP2-specific cytotoxic CTLs.