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Universal Superposition of Orthogonal States: Difference between revisions
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Universal Superposition of Orthogonal States (edit)
Revision as of 10:52, 29 April 2019
, 29 April 2019→Notations
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* '''Mixed Output Case:''' In the second case, the circuit is the same as for the pure output case. The only difference is that at the measurement step, regardless of the outcome of the measurements, we will not ignore any rounds and all the outcome states are valid superposition but they differ by a relative phase with each other (with negative or positive sign). As a result, the output of the circuit will be always a desired superposed state. In the cases which the relative phase of the superposition can be ignored, this case can be considered as a deterministic protocol. | * '''Mixed Output Case:''' In the second case, the circuit is the same as for the pure output case. The only difference is that at the measurement step, regardless of the outcome of the measurements, we will not ignore any rounds and all the outcome states are valid superposition but they differ by a relative phase with each other (with negative or positive sign). As a result, the output of the circuit will be always a desired superposed state. In the cases which the relative phase of the superposition can be ignored, this case can be considered as a deterministic protocol. | ||
== | ==Notation== | ||
*<math>\alpha</math> , <math>\beta</math>: weights of the superposition (<math>|\alpha|^2 + |\beta|^2 = 1</math>) | *<math>\alpha</math> , <math>\beta</math>: weights of the superposition (<math>|\alpha|^2 + |\beta|^2 = 1</math>) | ||
*<math>|\psi\rangle , |\psi^\perp\rangle</math>: initial states | *<math>|\psi\rangle , |\psi^\perp\rangle</math>: initial states | ||