1. Large-scale modular quantum computer architecture, comprising: a processor configured for receiving an input data to be computed and to control quantum computations in accordance with a quantum algorithm and to output results of the computations; a plurality of modular elementary logic units (ELUs), each modular ELU housing a plurality of stationary matter qubits and constituting a high performance quantum memory register; a photonic interconnect network propagating quantum degrees of freedom of said qubits and operatively coupled to said plurality of modular ELUs, said photonic interconnect network being configured for multiplexing, under control of said processor, said plurality of modular ELUs in a dynamically reconfigurable at least one multi-dimensional quantum computational structure supporting a scheduled realization of at last one of at least first quantum gate is being realized between qubits housed in respective distant modular ELUs arranged in said at least one multi-dimensional quantum computations structure, and wherein said at least second quantum gate is being realized between qubits housed in a respective at least one of said plurality of modular ELUs, and wherein said at least first and second quantum gates are being executed through application of predetermined qubit-state-dependent forces to respective qubits; a control sub-system configured to control said qubit-state-dependent forces for application of optimal control parameters to multiple modes of motion of said qubits housed in said respective at least one ELU to suppress a mode crosstalk within said respective at least one ELU, thereby enabling high fidelity operation of said at least one second quantum gate in said respective at least one ELU for enhanced scalability of said quantum computer; a photon detection sub-system operatively coupled to a respective at least one of said at least first and second quantum gates via said photonic interconnect network to detect realization of said respective at least one of said at least first and second quantum gates; and a measurement sub-system operatively coupled to said detection sub-system and said at least on first and second quantum gates to measure, upon detection of photons produced thereat, the states of qubits resulting from realization of said respective at least one of said at least first and second quantum gates, said qubit's states being supplied to said processor for processing and subsequent output in a form of computation results wherein said stationary matter qubits include ion qubits, further comprising a laser sub-system generating laser beams with predetermined characteristics and operatively coupled to said respective at least one ELU in a controlled manner in accordance with said quantum algorithm to realize said at least one of said at least first and second quantum gates, wherein said control sub-system is operatively coupled to said laser sub-system for shaping at least one of said laser beams to apply said optimally controlled qubit state-dependent optical forces to a respective subset of said ion qubits, wherein said laser sub-system includes: a first laser configured for initialization of each of said ion qubits in said respective at least one ELU, at least one second continuous-wave laser configured to simulate Raman transitions between said ion qubits and to produce said qubit state-dependent optical forces, wherein said at least one second laser generates a first laser beam for illuminating said plurality of ion qubits in said respective at least one ELU and a second laser beam for manipulating said respective subset of adjacent ion qubits of interest, and a third resonant laser configured to participate in said ion qubits states measurement by applying said third laser's beam to said ion qubits states, wherein said multiple modes of motion of said ion qubits are caused by application of at least one of said first laser's beam and said first laser beam of said at least one second laser, and wherein said optimal control parameters include a predetermined pulse shape of said second laser beam designed for disentanglement of said multiple modes of motion of said ion qubits housed within said respective at least one ELU.