Exact & formalOperatorsStateMagic state distillation1 q
Magic T state
The single-qubit magic state |T⟩ = T|+⟩, the standard resource state consumed by gate teleportation to implement a fault-tolerant non-Clifford T gate.
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The single-qubit magic state |T⟩ = T|+⟩, the standard resource state consumed by gate teleportation to implement a fault-tolerant non-Clifford T gate.
The maximally mixed state ρ = I/2ⁿ: the unique n-qubit state invariant under every unitary, carrying zero information and maximal (n-bit) von Neumann entropy.
The NOON state (|N,0⟩+|0,N⟩)/√2: a two-mode entangled state with all N particles in one mode or the other, the standard resource for Heisenberg-limited interferometric phase estimation.
The thermal (Gibbs) state of a single qubit in a longitudinal field, prepared exactly via a one-ancilla purification circuit.
The Werner state ρ_W(p) = p|Ψ⁻⟩⟨Ψ⁻| + (1−p)I/4: a one-parameter family interpolating between the maximally entangled singlet and the maximally mixed state, historically significant as the first known example separating entanglement from Bell-inequality violation.