ssh from OS Sierra to Ubuntu 14.04 says "No matching cipher found"
No, $|\phi\rangle$ doesn't need to be orthogonal to $|0\rangle$. Neither does $|\psi\rangle$. They only need to be orthogonal to each other.
Example
Suppose you know that you will be given a state $|\omega\rangle$ that will either equal $|\phi\rangle = \frac{1}{\sqrt 2}|0\rangle + \frac{1}{\sqrt 2}|1\rangle$ or equal $|\psi\rangle = \frac{1}{\sqrt 2}|0\rangle - \frac{1}{\sqrt 2}|1\rangle$. Your goal is to create a circuit that will produce the state $|\omega\rangle|\omega\rangle$ in both cases.
Because the possible states are orthogonal, it's easy. Apply a transform that sends each possible input to a computational basis state, CNOT onto a zero'd qubit, and transform back.
Here's a circuit that performs the desired cloning:
If the possible states were different, you'd need to change the circuit accordingly.
You could also just perform a measurement in the basis defined by $|\phi\rangle$ and $|\psi\rangle$. That would tell you which state you had, and then you could just produce more of those states.
KEEP IN MIND this only worked because:
You knew the possible states.
The possible states were mutually orthogonal.
If either of those conditions isn't met, you won't be able to perform the cloning. You either won't be able to figure out the basis transform to use, or there will be cross-talk between the two cases.
Summary
does copy of this orthogonal state require target state |0⟩|0⟩ to be orthogonal to |ϕ⟩|ϕ⟩ or |ψ⟩|ψ⟩?
No.
Are |ϕ⟩|ϕ⟩ and |ψ⟩|ψ⟩ known states (just do not know which we will receive to copy)?
Yes.
How can I implement such copy?
With a basis transform and a CNOT onto a zero'd qubit. Or with a measurement.
Can I do so without a measurement?
Yes.
You can use the Windows Fax and Scan software included with Windows 7, which should be available in the main All Programs menu of your Start menu.
Alternatively, you can install HP's scanner software included on the CD or DVD that came with your printer or available for download from HP's website.