# Establishing World-Record Coherence Times on Nuclear Spin qubits made from neutral atoms

Mickey McDonald, Senior Quantum Engineer

**Coherence Times Matter**

When building a quantum computer, the need to isolate qubits from environmental effects must be balanced against the need to engineer site-specific, controllable interactions with external fields. In our paper recently published in Nature Communications, we show results from our first-generation quantum computing system called Phoenix, which successfully navigates these competing requirements while demonstrating the capability to load more than 100 qubits. The most notable achievement we describe in this paper is the long coherence times of each of our qubits. Coherence is a term used to describe how long a qubit maintains its quantum state or encoded information. It’s important because longer coherence times mean fewer limitations on running deep circuits, and error-correction schemes have more time to detect and correct errors through mid-circuit measurements. On Phoenix, we set a new high water mark for coherence time.

Achieving long coherence times requires that a qubit interact minimally with its environment, but this requirement often comes with a drawback: it is usually the case that the more weakly a qubit interacts with its environment, the more difficult it is to couple that qubit to whatever control fields are being used to drive interactions required to perform quantum computation. We manage these competing requirements by using a clever choice of neutral atom-based qubit, and by performing single-qubit control using software-configurable dynamic lasers which can be steered and actuated with sub-micron spatial accuracy and sub-microsecond timing precision.

**Simultaneous Control of Qubits **

Our software-configurable optical control scheme allows Phoenix to simultaneously drive arbitrary single-qubit gate operations on all qubits within a single column or row in parallel, while at the same time maintaining coherence times longer than any yet demonstrated on a commercial platform, with a measured T_{2}^{echo} = 40 +/- 7 seconds.

Our system encodes quantum information, i.e. the qubit states |0> and |1>, in two of the nuclear spin states of a single, uncharged strontium atom. This kind of qubit encoding has two key advantages. First, because both qubit states exist in the electronic ground state, the time it takes for one state to spontaneously decay to the other (AKA the spin-relaxation time “T1”) is effectively infinite. We demonstrate this on Phoenix by making spin relaxation measurements out to several seconds and confirming that the relative populations in each state remain unchanged to the limits of measurement precision.

The second key advantage of nuclear spin qubits is that because the qubit states have such similar energies, they are nearly identically affected by external fields. This means that perturbations, such as those induced by externally applied trapping light, will affect both qubit states in the same way. Because these perturbations are common-mode, they do not impact the system’s overall coherence - a feature which fundamentally enables our world-record coherence times.

**Our Path Forward**

This paper describing Phoenix demonstrates several key technological innovations necessary for the construction of a large-scale, commercial quantum computer: long coherence times, the ability to drive arbitrary single qubit operations across large portions of the array in parallel, and the ability to trap 100+ qubits (and far beyond in the future). As we develop our second-generation quantum computers, we will build on the proven architecture and successes demonstrated on Phoenix to scale up to systems with fidelities and qubit numbers high enough to solve problems that cannot be solved with classical computers. Stay tuned and sign up for our Tech Perspectives blog series to learn more!