27.09.2014 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 11.6: Resonator Coupled Sample Specifications: Measurement <strong>of</strong> T 1 (blue)<br />

and T 2 (red) <strong>of</strong> the different components in the resonator coupled sample. – a)<br />

Qubit A. b) Qubit B. c) Resonator.<br />

The entanglement is then swapped from the resonator to the first qubit:<br />

180◦<br />

A swap = e<br />

−iπ( 360 ◦ (C ⊗ I)) Aentangled = | 001 〉 + eiφ | 100 〉<br />

√ (11.12)<br />

2<br />

Finally, the qubits are subjected to the required Bell rotations:<br />

135◦<br />

−iπ(−<br />

A ab = e 360 ◦ (σ x ⊗ I ⊗ I) + 0◦<br />

360 ◦ (I ⊗ I ⊗ σ x)) Aswap (11.13)<br />

135◦<br />

A a ′ b = e<br />

−iπ( 360 ◦ (σ x ⊗ I ⊗ I) + 0◦<br />

360 ◦ (I ⊗ I ⊗ σ x)) Aswap (11.14)<br />

A ab ′ = e −iπ (− 135◦<br />

360 ◦ (σ x ⊗ I ⊗ I) − 90◦<br />

360 ◦ (I ⊗ I ⊗ σ x )) Aswap (11.15)<br />

135◦<br />

A a ′ b ′ = e−iπ( 360 ◦ (σ x ⊗ I ⊗ I) − 90◦<br />

360 ◦ (I ⊗ I ⊗ σ x)) Aswap (11.16)<br />

276

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!