### Session C4: Spintronics and Quantum Computing

3:40 PM–4:52 PM, Friday, October 23, 2009
Green Center Room: 211

Chair: Mark Coffey, Colorado School of Mines

Abstract ID: BAPS.2009.4CF.C4.4

### Abstract: C4.00004 : Fidelity of Arbitrary Single-Qubit Gates

4:28 PM–4:40 PM

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#### Authors:

Nathan Steiger
(Brigham Young University)

Peter Pemberton-Ross
(Cambridge University)

Recent work suggests that conservation laws limit the inherent accuracy of gate operations in quantum computing. One way to quantify these limitations is through a gate operation's fidelity. We extend and clarify previous work by Karasawa et al. (J. Phys. A \textbf{42}, 225303, (2009)) for an arbitrary single-qubit gate operation by incorporating the Schr\"{o}dinger form of the uncertainty relation and arrive at a Bloch sphere representation of the gate fidelity. We find that these modifications are non-trivial and could have important ramifications for quantum computing.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.4CF.C4.4