Quantum computing with Bose operators

Abstract

One of the challenges for quantum computers, including the most promising for practical implementations NMR-based quantum computers, at the moment is to increase the number of qubits available for computation. Using the invariance of the spin projections operators under orthogonal reduction and orthogonal addition of the basis spin functions, the quantum computation at any number of qubits is proposed. It is showm that a quantum computer with N qubits can be characterized by the spin S = 2N-1 - 1/2 . The Hadamard gate in the two-Bose operators representation for a great number of qubits (N® ¥ ) has been determined.