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PDF (double-sided) - Physics Department, UCSB - University of ...

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11.2.1 Bell Rotations<br />

The first step in the measurement consists <strong>of</strong> applying a rotation operation to<br />

each qubit that rotates the qubits’ states along the Bloch sphere in such a manner<br />

that the axis along which the measurement is to be done is moved onto the Z-axis.<br />

As described before, this is achieved with a microwave pulse <strong>of</strong> the right phase<br />

and amplitude as indicated in Figure 11.2b. For different experimental runs, i.e.<br />

different pairs from the ensemble, the rotation is adjusted to correspond to the<br />

axes a, a ′ , b, and b ′ as defined in the previous chapter.<br />

11.2.2 Tunneling Measurement<br />

In the second step, the usual tunneling measurement is used to measure the<br />

state along the Z-axis. Each experimental run will then yield one <strong>of</strong> the four states<br />

| 00 〉, | 01 〉, | 10 〉 or | 11 〉. Their occurrences are counted for the different rotations<br />

a, a ′ , b, and b ′ and their relative rates for each axes combination are interpreted<br />

as the probabilities P | 00 〉 (a, b), P | 00 〉 (a ′ , b), P | 00 〉 (a, b ′ ), P | 00 〉 (a ′ , b ′ ), P | 01 〉 (a, b), etc.<br />

These probabilities are combined into the correlation measures E xy according to<br />

Equation 10.2, which in turn give the value for S (Equation 10.3).<br />

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