Abstract
We study the time-dependent effect of Markovian readout processes on Majorana qubits whose parity degrees of freedom are converted into the charge of a tunnel-coupled quantum dot. By applying a recently established effective Lindbladian approximation [Kirsanskas, Franckie, and Wacker, Phys. Rev. B 97, 035432 (2018); Mozgunov and Lidar, Quantum 4, 227 (2020); Nathan and Rudner, arXiv:2004.01469], we obtain a completely positive and trace preserving Lindblad master equation for the combined dot-qubit dynamics, describing relaxation and decoherence processes beyond the rotating-wave approximation. This approach is applicable to a wide range of weakly coupled environments representing experimentally relevant readout devices. We study in detail the case of thermal decay in the presence of a generic Ohmic bosonic bath, in particular for potential fluctuations in an electromagnetic circuit. In addition, we consider the nonequilibrium measurement environment for a parity readout using a quantum point contact capacitively coupled to the dot charge.
Original language | English |
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Article number | 033254 |
Journal | Physical Review Research |
Volume | 2 |
Issue number | 3 |
Number of pages | 19 |
DOIs | |
Publication status | Published - 17 Aug 2020 |
Keywords
- NON-ABELIAN STATISTICS
- P-WAVE
- QUANTUM
- NANOWIRE
- FERMIONS
- SUPERCONDUCTOR
- STATES
- SIGNATURE