After receiving his undergraduate degree from MIT in 1987, Monroe joined Carl Wieman's research group at the University of Colorado in the early days of laser cooling and trapping of atoms. With Wieman and postdoctoral researcher Eric Cornell, Monroe contributed to the path for cooling a gas of atoms to the Bose-Einstein condensation phase transition. He obtained his PhD under Wieman in 1992. From 1992-2000, Monroe worked in the Ion Storage Group of David Wineland at the National Institute of Standards and Technology in Boulder, CO, where he was awarded a National Research Councilpostdoctoral fellowship from 1992-1994, and held a staff position in the same group from 1994-2000. With Wineland, Monroe led the research team that demonstrated the first quantum logic gate in 1995 and for the first time entangled multiple qubits, and exploited the use of trapped atomic ions for applications in quantum control and the new field of quantum information science. In 2000, Monroe initiated a research group at the University of Michigan, Ann Arbor, where he showed how qubit memories could be linked to single photons for quantum networking. There he also demonstrated the first ion trap integrated on a semiconductor chip. With Wineland, Monroe proposed a scalable quantum computer architecture based on shuttling atomic ions through complex ion trap chips. In 2006, Monroe became Director of the FOCUS Center at the University of Michigan, a NSF Physics Frontier Center in the area of ultrafast optical science. In 2007, Monroe became the Bice Zorn Professor of Physics at the University of Maryland and a Fellow of the Joint Quantum Institute between the University of Maryland and NIST. There, Monroe's group produced quantum entanglement between two widely separated atoms, and were the first to teleport quantum information between matter separated over distance. They exploited this resource for a number of quantum communication protocols and for a new hybrid memory/photon quantum computer architecture. In recent years, his group pioneered the use of individual atoms as a quantum simulator, or a special purpose quantum computer that can probe complex many-body quantum phenomena such as frustration and magnetic ordering. His laboratory controls and manipulates the largest collection of individual interacting qubits. In 2015, Monroe co-founded the startup IonQ, Inc., and serves as Chief Scientist. From Aug 2018 to May 2019 he served as CEO. IonQ manufactures full stack quantum computers based on trapped atomic ion technology. In 2016 he was elected to the National Academy of Sciences.