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10.2.3 Ion and Photon In the attempt to close both loopholes, D.L. Moehring published an experiment in 2004 that used an atom and a photon as the entangled pair [Moehring et al., 2004]. The high detection efficiency of the measurement of the atom’s state combined with the theoretical possibility to remove the photon far from the atom could eventually allow this approach to implement a loophole-free Bell inequality test. But due to limitations of the experiment, the group was not able to close the locality loophole in this version of the experiment. The group reported an S-value of S = 2.218 ± 0.028. 10.3 The Bell Inequality versus Phase Qubits? Given the fact that the overwhelming evidence [Weihs et al., 1998, Roos et al., 2004] has effectively settled the question of whether a local hidden variable theory should replace quantum mechanics, one might ask why another implementation of a test of Bell inequality in superconducting qubits is desirable, especially since such an experiment would most likely also be susceptible to the locality loophole. The argument in favor of the experiment is two-fold: • On the one hand, it would be the first implementation of the test using a macroscopic quantum state. All experiments to date have relied on mi- 236

croscopic quantum systems like atoms, ions, photons, etc. The quantum state of a superconductor can extend over many hundreds micrometers and involves a collection of around a billion electrons. • On the other hand, a successful implementation of this experiment will provide strong evidence that superconducting qubits can indeed show nonclassical behavior and are thus a viable candidate for the implementation of a quantum computer [Clarke and Wilhelm, 2008]. In addition, the operations required for a successful implementation cover almost all of the DiVincenzo criteria (except scalability) and the experiment places extremely high demands on the fidelities of these operations. Thus, the S-value obtained can be used as a very powerful single-number benchmark for the overall quality of the qubit pair. 237

10.2.3 Ion and Photon<br />

In the attempt to close both loopholes, D.L. Moehring published an experiment<br />

in 2004 that used an atom and a photon as the entangled pair [Moehring<br />

et al., 2004]. The high detection efficiency <strong>of</strong> the measurement <strong>of</strong> the atom’s state<br />

combined with the theoretical possibility to remove the photon far from the atom<br />

could eventually allow this approach to implement a loophole-free Bell inequality<br />

test. But due to limitations <strong>of</strong> the experiment, the group was not able to close<br />

the locality loophole in this version <strong>of</strong> the experiment. The group reported an<br />

S-value <strong>of</strong> S = 2.218 ± 0.028.<br />

10.3 The Bell Inequality versus Phase Qubits?<br />

Given the fact that the overwhelming evidence [Weihs et al., 1998, Roos et al.,<br />

2004] has effectively settled the question <strong>of</strong> whether a local hidden variable theory<br />

should replace quantum mechanics, one might ask why another implementation<br />

<strong>of</strong> a test <strong>of</strong> Bell inequality in superconducting qubits is desirable, especially since<br />

such an experiment would most likely also be susceptible to the locality loophole.<br />

The argument in favor <strong>of</strong> the experiment is two-fold:<br />

• On the one hand, it would be the first implementation <strong>of</strong> the test using<br />

a macroscopic quantum state. All experiments to date have relied on mi-<br />

236

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