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The spin-vortex-induced loop current (SVILC) is a nano-sized loop currentpredicted to exist in the CuO$_2$ plane in the bulk of hole-doped cupratesuperconductors. It is a persistent loop current protected by the topologicalwinding number associated with the wave function. It exists around aspin-vortex created by the itinerant electrons with a doped hole at its center.The direction of each SVILC can be either clockwise (winding number is -1) orcounterclockwise (winding number is +1) and the winding number with no current(winding number is zero) is forbidden by the singlevalued requirement of thewave function with respect to the electron coordinates. Recently, it has beendemonstrated, theoretically, that this degree-of-freedom can be used forqubits. Coupling of neighboring qubits by external current feeding is confirmedto be realizable. This means that nano-sized couplers of SVILC qubits usingfeeding external currents are realizable. The size of couplers of SVILC qubitscan be conparable or smaller than that of trapped ion qubits. Couper size ofSVILC qubits is decided by the range of spin vortices in CuO$_2$ plane andcurrent distribution, thus, this is tunable by feeding external current andsubstituting Cu atoms in barrier atoms. That of trapped ion qubits is limitedby the distance that combined vibration occurs or laser range with respect tothe coordinates. In the present work, We demonstrated splitting energy levelsby external feeding current of three qubit system of SVILC qubits. This meansthat nano-sized qubit differentiator can be realized, and noise by staticmagnetic field can be cut off, and this may enable the realizing fully-faulttolerant quantum computers by SVILC qubits. Moreover, the possibility ofdownscaling of them is shown.

Splitting of energy levels of Spin-vortex Induced Loop Currents by feeding external currents