Qutrit
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A qutrit is a unit of quantum information. Just as the qubit is analogous to the classical bit, the qutrit is analogous to the classical trit. A qutrit is 3-level, or ternary system which has 3 basis states, often denoted 
, 
and 
. Unlike the trit, and like its cousin the qubit, a qutrit can exist in superpositions of the three basis states. Consequently, a string of n qutrits is able to represent 3n different states simultaneously.
Since basis states in quantum systems must be orthogonal to be reliably distinguished, the qutrit's basis states must also be orthogonal. Qubits achieve this by utilizing Hilbert space H2, corresponding to spin-up and spin-down. Qutrits require a Hilbert space of higher dimension, namely H3.
As with qubits, a qutrit can be expressed as a linear combination of the basis states, given as:
. |
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| Quantum computing |
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| Qubit | Quantum circuit | Quantum computer | Quantum cryptography | Quantum information | Quantum programming | Quantum teleportation | Quantum virtual machine | Timeline of quantum computing |
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| Kane quantum computer |
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| Charge qubit | Flux qubit | Hybrid qubits |
