results system evolves under the action of the Hamiltonian $H$. However, the outcome of the measurement is a random process and cannot be used directly for quantum communication across the spin chain. In the rest of the paper we try to exploit the random measurement induced dynamics for the purpose of quantum communication.

Quantum State Transfer: Unrestricted Basis {#sec3}
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In this section we assume that a general projecting measurement, in any arbitrary basis, is possible at the sender site, which is taken to be site 1. This measurement followed by a conditional unitary operation, which depends on the outcome of the measurement, are used to initialize our desired quantum state in the sender spin. The following unitary time evolution of the system transfers this quantum state to the receiver site.

The most general pure quantum state can be written as $$\label{psi_p1}
    |\psi^{(+1)}\ra=\cos{(\frac{\theta}{2})}|\uparrow\ra+e^{i\phi}\sin{(\frac{\theta}{2})}|\downarrow\ra$$ where $0\leq \theta \leq \pi$ and $0\leq \phi \leq 2 \pi$ are the two angles in the spherical coordinates which determine a single point on the surface of the Bloch sphere. This state is the eigenvector of the Hermitian operator $\overrightarrow{\sigma}.\overrightarrow{{\bf n}}$ (with eigenvalue $+1$) where the unit vector $\overrightarrow{{\bf n}}$ is defined as $\overrightarrow{{\bf n}}=(\sin(\theta)\cos(\phi),\sin(\theta)\sin(\phi),cos(\theta))$. The 