Direct Characteristic-Function Tomography of the Quantum States of
Quantum Fields
- URL: http://arxiv.org/abs/2310.13530v1
- Date: Fri, 20 Oct 2023 14:15:14 GMT
- Title: Direct Characteristic-Function Tomography of the Quantum States of
Quantum Fields
- Authors: Zehua Tian, Jiliang Jing, and Jiangfeng Du
- Abstract summary: We propose a strategy for implementing a direct readout of the symmetric characteristic function of the quantum states of quantum fields.
This strategy may serve as an essential in understanding and optimizing the control of quantum fields for relativistic quantum information applications.
- Score: 5.145146101802871
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Herein, we propose a novel strategy for implementing a direct readout of the
symmetric characteristic function of the quantum states of quantum fields
without the involvement of idealized measurements, an aspect that has always
been deemed ill-defined in quantum field theory. This proposed scheme relies on
the quantum control and measurements of an auxiliary qubit locally coupled to
the quantum fields. By mapping the expectation values of both the real and
imaginary parts of the field displacement operator to the qubit states, the
qubit's readout provides complete information regarding the symmetric
characteristic function. We characterize our technique by applying it to the
Kubo-Martin-Schwinger (thermal) and squeezed states of a quantum scalar field.
In addition, we have discussed general applications of this approach to
analogue-gravity systems, such as Bose-Einstein condensates, within the scope
of state-of-the-art experimental capabilities. This proposed strategy may serve
as an essential in understanding and optimizing the control of quantum fields
for relativistic quantum information applications, particularly in exploring
the interplay between gravity and quantum, for example, the relation to
locality, causality, and information.
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