Quantum state engineering by steering in the presence of errors
- URL: http://arxiv.org/abs/2303.16329v4
- Date: Wed, 3 Jan 2024 14:14:53 GMT
- Title: Quantum state engineering by steering in the presence of errors
- Authors: E. Medina-Guerra, Parveen Kumar, I. V. Gornyi, and Yuval Gefen
- Abstract summary: We study a class of measurement-based state engineering protocols.
We show that the protocol remains fully robust against the erroneous choice of system-detector coupling parameters.
We also demonstrate the commutation between the classical expectation value and the time-ordering operator of the exponential of a Hamiltonian with multiplicative white noise.
- Score: 1.2642388972233845
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum state engineering plays a vital role in various applications in the
field of quantum information. Different strategies, including
drive-and-dissipation, adiabatic cooling, and measurement-based steering, have
been proposed in the past for state generation and manipulation, each with its
upsides and downsides. Here, we address a class of measurement-based state
engineering protocols where a sequence of generalized measurements is employed
to steer a quantum system toward a desired target state. Previously studied
measurement-based protocols relied on idealized procedures and avoided
exploration of the effects of various errors stemming from imperfections of
experimental realizations and external noise. We employ the quantum trajectory
formalism to provide a detailed analysis of the robustness of these steering
protocols against various errors. We study a set of errors that can be
classified as dynamic or static, depending on whether they remain unchanged
while running the protocol. More specifically, we investigate the impact of
erroneous choice of system-detector coupling, re-initialization of the detector
state following a measurement step, fluctuating steering directions, and
environmentally induced errors in the system-detector interaction. We show that
the protocol remains fully robust against the erroneous choice of
system-detector coupling parameters and presents reasonable robustness against
other errors. We employ various quantifiers such as fidelity, trace distance,
and linear entropy to characterize the protocol's robustness and provide
analytical results. Subsequently, we demonstrate the commutation between the
classical expectation value and the time-ordering operator of the exponential
of a Hamiltonian with multiplicative white noise, as well as the commutation of
the expectation value and the partial trace with respect to detector outcomes.
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