Effect of Ohmic environment on optimally controlled flux-biased phase qubit
arXiv:1008.2554 · doi:10.1103/PhysRevB.82.144528
Abstract
We analyze the effect of environment on the gate operation of flux-biased phase qubits. We employ the master equation for a reduced density matrix of the qubit system coupled to an Ohmic environment, described by the Caldeira-Leggett model. Numerically solving this equation, we evaluate the gate error as a function of energy splitting between qubit states, junction capacitance, and temperature. The analysis is presented for single-quadrature microwave (control) pulses as well as for two-quadrature pulses, which lower the gate error significantly for idealized systems in the absence of environment. Our results indicate that two-quadrature pulses outperform single quadrature pulses even in the presence of environment.
5 pages and 4 figures
References in corpus (13)
- Manipulating the Quantum State of an Electrical Circuit
- Coherent Quantum Dynamics of a Superconducting Flux Qubit
- Quantum Computing with Very Noisy Devices
- Decoherence in Josephson Qubits from Dielectric Loss
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Decoherence in Josephson Qubits from Junction Resonances
- 1/f Flux Noise in Josephson Phase Qubits
- Fidelity of Single Qubit Maps
- Decoherence in Josephson-junction qubits due to critical current fluctuations
- Optimal control of a qubit coupled to a non-Markovian environment
- Optimal control of a leaking qubit
- Temperature dependence of coherent oscillations in Josephson phase qubits
- Decoherence processes in a current biased dc SQUID