We propose a new scalable architecture for trapped ion quantum computing that combines optical tweezers delivering qubit state-dependent local potentials with oscillating electric fields. Since the electric field allows for long-range qubit-qubit interactions mediated by the center-of-mass motion of the ion crystal alone, it is inherently scalable to large ion crystals. Furthermore, our proposed scheme does not rely on either ground state cooling or the Lamb-Dicke approximation. We study the effects of imperfect cooling of the ion crystal, as well as the role of unwanted qubit-motion entanglement, and discuss the prospects of implementing the state-dependent tweezers in the laboratory.Introduction. Trapped ions form one of the most mature laboratory systems for quantum information processing and quantum simulation [1-3]. Many of the basic building blocks needed for these technologies have been demonstrated: high fidelity detection and preparation [4], and universal quantum operations performed by external fields coupling to the internal states of the ions. While quantum gates have been performed with very high fidelities in trapped ions [5][6][7], scaling up the system while maintaining the quality of operations has proven to be challenging. In particular, as the length of ion crystals increases, the number of motional modes to which the gate lasers couple also increases. This leads to a reduction of interaction strength for gates between distant qubits [8]. Furthermore, the number of degrees of freedom with which the qubits can erroneously entangle increases.