Frontiers · ternary quantum

The qutrit: three-level quantum information

A qubit lives on two levels; a qutrit lives on three, the quantum face of the trit. This is a state-vector emulator running in your browser: classical hardware, so there is no quantum speedup: the point is that three-level quantum information maps naturally onto ternary, and the same ternary substrate that runs an edge policy is a natural engine for simulating qutrit circuits.

Qutrits

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State dim (3ⁿ)

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Entanglement

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Last measure

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State vector, bar = amplitude |cₖ|, hue = phase; basis labels are balanced ternary {−,0,+}

Measurement: P(outcome) = |cₖ|²

Qutrits

Act on

1-qutrit gate

2-qutrit

A browser is classical hardware: this is emulation, not a quantum computer. State grows as 3ⁿ (faster than 2ⁿ): ~20 qutrits ≈ 56 GB, the ceiling.