Editing Asymmetric Universal 1-2 Cloning (section)

==Properties==
*The protocol assumes that the original input qubit is unknown and the protocol is independent of the original input state (universality).
*The output copies are not identical and we are able to control the likelihood (fidelity) of the output copies to the original state by pre-preparing the ancillary states with special coefficients.
*Claims for General case:
**Following inequality holds between the scaling factors <math>s_0</math> and <math>s_1</math></br>
<math>s_0^2 + s_1^2 + s_0 s_1 - s_0 - s_1 \leq 0</math>
**This elliptic inequality shows the possible value of the scaling parameters.
**Trade-off inequality between the fidelities of the clones:</br>
<math>\sqrt{(1 - F_a)(1 - F_b)} \geq \frac{1}{2} - (1 - F_a) - (1 - F_b)</math>
**Optimality is provided when the fidelities of two clones, <math>F_a</math> and <math>F_b</math>, saturate the above inequality
*Claims for Special case with bell state:
**Following ellipse equation holds between the scaling factors <math>a</math> and <math>b</math></br>
<math>a^2 + b^2 + ab = 1</math>
**Following equations holds for fidelities of the clones:
<math>F_a = 1 - \frac{b^2}{2},	F_b = 1 - \frac{a^2}{2}</math>