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PDF (double-sided) - Physics Department, UCSB - University of ... PDF (double-sided) - Physics Department, UCSB - University of ...
Table 11.10: Bell Violation Results Total – Resonator Coupling Parameter ab a ′ b ab ′ a ′ b ′ P | 00 〉 0.4162 0.3978 0.1046 0.3612 P | 01 〉 0.1575 0.1759 0.3700 0.1136 P | 10 〉 0.0852 0.0731 0.3904 0.1185 P | 11 〉 0.3412 0.3531 0.1350 0.4066 E 0.5147 0.5019 -0.5208 0.5358 S 2.0732 measurement, this shields them very effectively from unwanted excitations. Measurement crosstalk as explained in Section 3.4.2 thus is small. In fact, for the same coupling strength, this coupling method yields about two orders of magnitude less measurement crosstalk. In addition, this allows for the qubits to be strongly decoupled during the π and Bell rotation pulses. Not only does this address one additional error mechanism in the error budget above (the errors caused by always-on coupling), it also makes the experiment conceptually much cleaner as the qubits can be assumed to be much more causally disconnected during the measurement as required by the derivation of the inequality. As shown in Table 11.10, this experiment yielded an S-value of 2.0732 for the sequence parameters shown in Table 11.11 suggesting a successful violation of the 264
Table 11.11: Optimization Results – Resonator Coupling Implementation Parameter Value Comments Φ A −213.0 mV Φ B −304.95 mV t π 8.25 ns FWHM of Gaussian pulse A π 0.293 6.659 GHz f π φ π dt √ i−Swap t √ i−Swap −0.6 ns 9.92 ns A √ i−Swap −0.281 O √ i−Swap 0.0 dt i−Swap 0.0 ns t i−Swap 12.43 ns A i−Swap −0.218 O i−Swap −0.3 dt A , dt MPA , dt MPB −1.0 ns t a , t a ′ 6.5 ns FWHM of Gaussian pulse A a 0.379 Corresponds to ∼ 149 ◦ f a , f a ′ 6.750 GHz φ a 185 ◦ A a ′ 0.442 Corresponds to ∼ 156 ◦ φ a ′ 13 ◦ A MPA 0.533 t MPA , t MPB 10.0 ns + 70.0 ns 10 ns flattop + 70 ns ramp dt B −14.0 ns t b , t b ′ 5.75 ns FWHM of Gaussian pulse A b 0.003 Corresponds to ∼ 1 ◦ f b , f b ′ 6.651 GHz φ b 143 ◦ A b ′ 0.257 Corresponds to ∼ 92 ◦ φ b ′ 166 ◦ A MPB 0.497 0 ◦ 265
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Table 11.10: Bell Violation Results Total – Resonator Coupling<br />
Parameter ab a ′ b ab ′ a ′ b ′<br />
P | 00 〉 0.4162 0.3978 0.1046 0.3612<br />
P | 01 〉 0.1575 0.1759 0.3700 0.1136<br />
P | 10 〉 0.0852 0.0731 0.3904 0.1185<br />
P | 11 〉 0.3412 0.3531 0.1350 0.4066<br />
E 0.5147 0.5019 -0.5208 0.5358<br />
S 2.0732<br />
measurement, this shields them very effectively from unwanted excitations. Measurement<br />
crosstalk as explained in Section 3.4.2 thus is small. In fact, for the<br />
same coupling strength, this coupling method yields about two orders <strong>of</strong> magnitude<br />
less measurement crosstalk. In addition, this allows for the qubits to be<br />
strongly decoupled during the π and Bell rotation pulses. Not only does this address<br />
one additional error mechanism in the error budget above (the errors caused<br />
by always-on coupling), it also makes the experiment conceptually much cleaner<br />
as the qubits can be assumed to be much more causally disconnected during the<br />
measurement as required by the derivation <strong>of</strong> the inequality.<br />
As shown in Table 11.10, this experiment yielded an S-value <strong>of</strong> 2.0732 for the<br />
sequence parameters shown in Table 11.11 suggesting a successful violation <strong>of</strong> the<br />
264
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