Research · Duke Quantum Center

A 96-ion barium quantum computer

In Chris Monroe and Crystal Noel’s group at Duke, we’re building a trapped-ion quantum computer that holds 96 barium-137 ions in a single chain. My part is designing the trap internals and building the machine itself.

Qubits96ions in one chain
Species137Ba+nuclear spin I = 3/2
Qubit splitting≈ 8.04 GHzhyperfine clock states
Readout light493 nmvisible blue-green

Trap internals & building the machine

A trapped-ion quantum computer is mostly an ultra-high-vacuum chamber full of carefully engineered hardware, with an optics table’s worth of lasers pointed into it. Everything inside the vacuum has to be clean, non-magnetic, and electrically well-behaved, because the ions sit only a few hundred microns from the electrodes and feel every stray field.

I design the parts that live inside that chamber: the blade-trap electrode assembly, the structure that holds and aligns it, and the wiring that carries RF and DC voltages from the outside world to the trap. I also work on assembling and bringing up the full system, from vacuum to lasers to the first trapped ions.

How a trapped-ion quantum computer works

  1. Trap the ions. You can’t hold a charge in place with static fields alone (Earnshaw’s theorem), so a Paul trap uses a fast oscillating RF field to make an effective confining potential in two directions, and DC voltages to confine along the third. Ions that are laser-cooled to near rest repel each other and settle into a straight line, like beads on a string.
  2. Store a qubit in each ion. Each ion’s qubit is two internal energy levels. In 137Ba+ we use two hyperfine “clock” states of the ground level whose energy difference is first-order insensitive to magnetic-field noise, so they keep their phase for a long time.
  3. Entangle through shared motion. The ions are coupled by their mutual Coulomb repulsion, so the chain vibrates in collective normal modes. A laser can push on an ion differently depending on its qubit state. Choreograph that push so the chain’s motion traces a closed loop and returns to where it started, and the qubits come out entangled. This is the Mølmer–Sørensen gate. The explorer at the bottom of this page shows those modes.
  4. Read it out. Shine 493 nm light on the chain. Ions in one qubit state scatter millions of photons a second and glow. Ions in the other stay dark. A camera or photon counter sees which is which.

Why barium-137?

Most of barium’s useful transitions are in the visible. That means mature lasers, low-loss fibers, and cameras with good quantum efficiency, which matters a lot when you are trying to collect single photons.

The 5D5/2 state lives for roughly 30 seconds. A narrow 1762 nm laser can move (“shelve”) one qubit state there before readout, which makes the bright-versus-dark measurement very hard to confuse.

The odd isotope 137Ba has nuclear spin 3/2, which gives the ground state the hyperfine structure needed for a clock-state qubit. It’s only about 11% of natural barium, so loading has to be isotope-selective.

6S1/2 (qubit) 6P1/2 6P3/2 5D3/2 5D5/2 493 nm 650 1762 614
Simplified Ba+ level diagram, not to scale. Hyperfine structure omitted.
Wavelength Transition What it does
493 nm 6S1/2 ↔ 6P1/2 Doppler cooling and fluorescence detection
650 nm 5D3/2 ↔ 6P1/2 Repump: the P1/2 state sometimes decays to D3/2, and this pulls it back into the cooling cycle
1762 nm 6S1/2 ↔ 5D5/2 Narrow quadrupole transition used to shelve population for high-fidelity readout
614 nm 5D5/2 ↔ 6P3/2 Deshelving: returns the ion from D5/2 to the ground state

Normal-mode explorer

The gates talk to each other through these modes, so knowing their frequencies and shapes is half the battle in designing a gate. This solves the real equilibrium positions and mode spectrum for N ions in a harmonic trap. Frequencies are in units of the axial center-of-mass frequency ωz.

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Mode participation by ion

Modes · ω/ωz