Table 1 List of symbols.

ω_q

Qubit frequency

Ω_s,j

jth Stark drive amplitude point

in a frequency scan (see Eqn. (1))

ω_j

jth Qubit Stark shift,

Δω_q(Ω_s,j) (see Eqn. (1))

dω_j

Frequency bin size at the

Stark shifted frequency location

Δω

Maximum qubit Stark shift

N

Number of T₁ measurements

for ~9 month time series in an average

n

Total number of spectroscopy

time slices in a moving average

T_i

Time of ith time bin for the

~9 month T₁ time series

t_i

Time of ith time bin

of the spectroscopy time series

T₁(T_i)

T₁ measured at ith time

τ

Decay time at

which P₁ was evaluated

P₁(ω_q + ω_j, τ, t_i)

Probability of \(\left|1\right\rangle\) at τ delay for

time slice t_i and frequency shift ω_j

\({\langle {P}_{1}\rangle }_{T}\)

Probability of \(\left|1\right\rangle\) at τ

averaged over ~ 9 month time series

\({\langle {P}_{1}\rangle }_{\omega ,t}\)

Probability of \(\left|1\right\rangle\) at τ averaged over

frequency and spectroscopy time

\({\langle {T}_{1}\rangle }_{{T}_{0\to N}}\)

Moving average of T_i

measurements from T₀ to T_n

\({\langle {T}_{1}\rangle }_{T}\)

T₁ averaged over entire ~9 months

\({\langle {T}_{1}\rangle }_{\omega ,t}\)

T₁ average from \({\langle {P}_{1}\rangle }_{\omega ,t}\)

Q_k

k’th qubit

R(t_i)

\({\langle {T}_{1}\rangle }_{T}\) correlation to \({\langle {T}_{1}\rangle }_{\omega }\) at t_i for {Q_k}

R(T_i)

\({\langle {T}_{1}\rangle }_{T}\) correlation to T₁ at a single time

T_i of the ~9 month series for {Q_k}

\({\langle R\rangle }_{{t}_{0\to n}}\)

\({\langle {T}_{1}\rangle }_{T}\) correlation to \({\langle {T}_{1}\rangle }_{\omega ,{t}_{0\to n}}\) for {Q_k}

\({\langle R\rangle }_{{T}_{0\to N}}\)

\({\langle {T}_{1}\rangle }_{T}\) correlation to \({\langle {T}_{1}\rangle }_{{T}_{0\to N}}\) for {Q_k}