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Generalized Quantum Gates



 
 
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Old February 3rd 04 posted to sci.physics
Damien Fitzgerald
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Default Generalized Quantum Gates

Hi i am coding a quantum computer simulator.
the simulator will be able to work in dimensions other than qubits. in
other words the user can select either qubits(d=2), qutrits(d=
3).....etc Obviously in this senario one must have the generalised
versions of all the gates

So far i have have found generalised versions of-

Hadamard gate
Not Gate
C-Not Gate
Swap Gate
Pauli X Gate

Ive been researching this for some months now and am finding it
impossible to find generalised versions of any of the other common
quantum gates. eg pauli y gate toffoli gate, controlled swap gate
,controlled unitary gate Phase gate and pi/8 gate or any other useful
gates.

Essentially all i need to know is for any given dimension ( be it
qubits or qutrits etc) what is the matrix representation for a certain
gate.

ps. The current Version of my software can be found on :


http://www.compsoc.nuigalway.ie/~dam...tSimulator.htm

Thanks in Advance

Damien
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