Quantum circuits and Spin(3n) groups

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Quantum circuits and Spin(3n) groups

All quantum gates with one and two qubits may be described by elements of Spin groups due to isomorphisms Spin(3) ≃ SU (2) and Spin(6) ≃ SU (4). However, the group of n-qubit gates SU (2 n) for n > 2 has bigger dimension than Spin(3n). A quantum circuit with one-and two-qubit gates may be used for construction of arbitrary unitary transformation SU (2 n). Analogously, the 'Spin(3n) circuits' ar...

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ژورنال

عنوان ژورنال: Quantum Information and Computation

سال: 2015

ISSN: 1533-7146,1533-7146

DOI: 10.26421/qic15.3-4-3