The paper presents the first realization of a toolbox for simulating open quantum systems using trapped ions. The authors demonstrate coherent and dissipative manipulations of up to five qubits, enabling the preparation of entangled states, simulation of coherent many-body spin interactions, and quantum non-demolition measurement of multi-qubit observables. By combining multi-qubit gates with optical pumping, they achieve controlled dissipation and coherent operations, offering novel prospects for open-system quantum simulation and computation. The experimental setup involves a string of trapped ions, where each ion encodes a qubit, and the system-environment coupling is engineered through quantum operations and a dissipative mechanism based on optical pumping. Key demonstrations include the dissipative preparation of Bell states and a four-qubit Greenberger-Horne-Zeilinger (GHZ) state, as well as coherent simulation of four-body spin interactions and non-destructive measurement of a four-qubit stabilizer operator. These results lay the foundation for further advancements in open quantum system simulation and quantum technologies.The paper presents the first realization of a toolbox for simulating open quantum systems using trapped ions. The authors demonstrate coherent and dissipative manipulations of up to five qubits, enabling the preparation of entangled states, simulation of coherent many-body spin interactions, and quantum non-demolition measurement of multi-qubit observables. By combining multi-qubit gates with optical pumping, they achieve controlled dissipation and coherent operations, offering novel prospects for open-system quantum simulation and computation. The experimental setup involves a string of trapped ions, where each ion encodes a qubit, and the system-environment coupling is engineered through quantum operations and a dissipative mechanism based on optical pumping. Key demonstrations include the dissipative preparation of Bell states and a four-qubit Greenberger-Horne-Zeilinger (GHZ) state, as well as coherent simulation of four-body spin interactions and non-destructive measurement of a four-qubit stabilizer operator. These results lay the foundation for further advancements in open quantum system simulation and quantum technologies.