Parity-to-charge conversion in Majorana qubit readout
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- PhysRevResearch.2.033254
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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.
Originalsprog | Engelsk |
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Artikelnummer | 033254 |
Tidsskrift | Physical Review Research |
Vol/bind | 2 |
Udgave nummer | 3 |
Antal sider | 19 |
DOI | |
Status | Udgivet - 17 aug. 2020 |
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