Abstract
Using spatial entanglement of two particles the rate of classical information gain has been increased by a logarithmic factor depending on the dimension of Hilbert space. To study Bell state measurement (BSM) of the two particles, at first, we have defined corresponding Bell bases in a typically general form. Then, the basic position gates are theoretically designed by side quantum channels and the usual CNOT gate. All the processes required in the BSM can be established based upon the introduced local and conditional basic gates.
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