Concept 10 of 42 · Quantum Dots and Spin Qubits

Singlet–triplet qubits

Two electron spins encode a qubit in their singlet–triplet subspace.

01 / Mathematical framework
$$H_{ST}=\frac{J}{2}\sigma_z+\frac{\Delta E_Z}{2}\sigma_x$$

Physical intuition

Two electron spins encode a qubit in their singlet–triplet subspace.

Deep dive: physical mechanism

Exchange and magnetic gradients drive rotations of an encoded qubit.

What is measured experimentally?

Return probability versus pulse time shows oscillations.

Assumptions, noise and limitations

Leakage into polarized triplets must be controlled.

Research and simulation exercise

Simulate rotations under tunable exchange.

Connect the ideas

Explore the chapter overview, learning path, and references.

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