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→Hierarchy of Quantum Gates
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*'''Clifford Gates(C):''' Pauli Gates, Phase Gate, C-NOT. This set of gates can be simulated on classical computer. All the gates in this set follow CU=U’C, where U and U’ are two different Pauli gates depending on C | *'''Clifford Gates(C):''' Pauli Gates, Phase Gate, C-NOT. This set of gates can be simulated on classical computer. All the gates in this set follow CU=U’C, where U and U’ are two different Pauli gates depending on C | ||
*'''Toffoli Gate T:''' A three qubit gate that does not belong to Clifford Group | *'''Toffoli Gate T:''' A three qubit gate that does not belong to Clifford Group | ||
*'''Universal Set of gates:''' This set consists of all Clifford gates and one Non-Clifford gate (T gate). If a model can realise Universal Set of gates, it can | *'''Universal Set of gates:''' This set consists of all Clifford gates and one Non-Clifford gate (T gate). One can also say one Toffoli gate and Hadamard gate constitute the set of Universal Gates. If a model can realise Universal Set of gates, it can imlpement any quantum computation efficiently. T gates follow UT = PaU0T, where P is the phase gate and U, U’ are any two Pauli gates depending on C. Parameter 1 is obtained from U, such that P0 = I, P1 = P. | ||
To summarize, the hierarchy of quantum can be defined as such.<br/> | To summarize, the hierarchy of quantum can be defined as such.<br/> | ||