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Suppression of 1 / f α noise in one-qubit systems

2008; American Physical Society; Volume: 77; Issue: 3 Linguagem: Inglês

10.1103/physreva.77.032334

1538-4446

Pekko Kuopanportti, Mikko Möttönen, Ville Bergholm, O.-P. Saira, Jun Zhang, K. Birgitta Whaley,

Quantum and electron transport phenomena

We investigate the generation of quantum operations for one-qubit systems under classical Markovian noise with a $1/{f}^{\ensuremath{\alpha}}$ power spectrum, where $2>\ensuremath{\alpha}>0$. We present an efficient way to approximate the noise with a discrete multistate Markovian fluctuator. With this method, the average temporal evolution of the qubit state operator under $1/{f}^{\ensuremath{\alpha}}$ noise can be feasibly determined from recently derived deterministic master equations. We obtain qubit operations such as quantum memory and the NOT gate to high fidelity by a gradient-based optimization algorithm. For the NOT gate, the computed fidelities are qualitatively similar to those obtained earlier for random telegraph noise. In the case of quantum memory, however, we observe a nonmonotonic dependency of the fidelity on the operation time, yielding a natural access rate of the memory.