1,166 research outputs found
Fault Tolerant Filtering and Fault Detection for Quantum Systems Driven By Fields in Single Photon States
The purpose of this paper is to solve a fault tolerant filtering and fault
detection problem for a class of open quantum systems driven by a
continuous-mode bosonic input field in single photon states when the systems
are subject to stochastic faults. Optimal estimates of both the system
observables and the fault process are simultaneously calculated and
characterized by a set of coupled recursive quantum stochastic differential
equations.Comment: arXiv admin note: text overlap with arXiv:1504.0678
Multi-Qubit Joint Measurements in Circuit QED: Stochastic Master Equation Analysis
We derive a family of stochastic master equations describing homodyne
measurement of multi-qubit diagonal observables in circuit quantum
electrodynamics. In the regime where qubit decay can be neglected, our approach
replaces the polaron-like transformation of previous work, which required a
lengthy calculation for the physically interesting case of three qubits and two
resonator modes. The technique introduced here makes this calculation
straightforward and manifestly correct. Using this technique, we are able to
show that registers larger than one qubit evolve under a non-Markovian master
equation. We perform numerical simulations of the three-qubit, two-mode case
from previous work, obtaining an average post-measurement state fidelity of
, limited by measurement-induced decoherence and dephasing.Comment: 22 pages, 9 figures. Comments welcom
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