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search  A qutrit is a unit of quantum information that can exist
in three possible states.  The qutrit is analogous to the
classical trit, just as the qubit, a quantum particle of two
possible states, is analogous to the classical bit.   A qutrit
has three orthogonal basis states, or vectors, often denoted
|0\rangle, |1\rangle, and |2\rangle in Dirac or bra-ket
notation. These are used to describe the qutrit as a
superposition in the form of a linear combination of the three
states:  |\psi\rangle = \alpha |0\rangle + \beta |1\rangle +
\gamma |2\rangle,  where the coefficients are probability
amplitudes, such that the sum of their squares is unity:  |
\alpha |^2 + | \beta |^2 + | \gamma |^2 = 1 \,  The qutrit's
basis states are orthogonal. Qubits achieve this by utilizing
Hilbert space H_2, corresponding to spin-up and spin-down.
Qutrits require a Hilbert space of higher dimension, namely H_3.
A string of n qutrits represents 3n different states simul